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Advanced Mathematical Tools for Automatic Control Engineers Volume 2

Advanced Mathematical Tools for Automatic Control Engineers  Volume 2 Author Alex Poznyak
ISBN-10 0080914039
Release 2009-08-13
Pages 567
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Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented



Advanced Mathematical Tools for Control Engineers Volume 1

Advanced Mathematical Tools for Control Engineers  Volume 1 Author Alex Poznyak
ISBN-10 0080556108
Release 2010-07-07
Pages 808
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Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented



The Robust Maximum Principle

The Robust Maximum Principle Author Vladimir G. Boltyanski
ISBN-10 0817681523
Release 2011-11-06
Pages 432
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Covering some of the key areas of optimal control theory (OCT), a rapidly expanding field, the authors use new methods to set out a version of OCT’s more refined ‘maximum principle.’ The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. This book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.



New Perspectives and Applications of Modern Control Theory

New Perspectives and Applications of Modern Control Theory Author Julio B. Clempner
ISBN-10 9783319624648
Release 2017-09-30
Pages 538
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This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.



Advances in Variable Structure Systems and Sliding Mode Control Theory and Applications

Advances in Variable Structure Systems and Sliding Mode Control   Theory and Applications Author Shihua Li
ISBN-10 9783319628967
Release 2017-09-19
Pages 409
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This book reflects the latest developments in variable structure systems (VSS) and sliding mode control (SMC), highlighting advances in various branches of the VSS/SMC field, e.g., from conventional SMC to high-order SMC, from the continuous-time domain to the discrete-time domain, from theories to applications, etc. The book consists of three parts and 16 chapters: in the first part, new VSS/SMC algorithms are proposed and their properties are analyzed, while the second focuses on the use of VSS/SMC techniques to solve a variety of control problems; the third part examines the applications of VSS/SMC to real-time systems. The book introduces postgraduates and researchers to the state-of-the-art in VSS/SMC field, including the theory, methodology, and applications. Relative academic disciplines include Automation, Mathematics, Electrical Engineering, Mechanical Engineering, Instrument Science and Engineering, Electronic Engineering, Computer Science and Technology, Transportation Engineering, Energy and Power Engineering, etc.



Stochastic Systems

Stochastic Systems Author P. R. Kumar
ISBN-10 9781611974256
Release 2015-12-15
Pages 358
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Since its origins in the 1940s, the subject of decision making under uncertainty has grown into a diversified area with application in several branches of engineering and in those areas of the social sciences concerned with policy analysis and prescription. These approaches required a computing capacity too expensive for the time, until the ability to collect and process huge quantities of data engendered an explosion of work in the area. This book provides succinct and rigorous treatment of the foundations of stochastic control; a unified approach to filtering, estimation, prediction, and stochastic and adaptive control; and the conceptual framework necessary to understand current trends in stochastic control, data mining, machine learning, and robotics.



Fundamentals of Stochastic Signals Systems and Estimation Theory

Fundamentals of Stochastic Signals  Systems and Estimation Theory Author Branko Kovacevic
ISBN-10 364209001X
Release 2011-03-05
Pages 380
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The main theme of this book deals with fundamental concepts underlying stochastic signal or linear stochastic systems, their modelling and analysis as well as model-based signal processing. Many examples are included to illustrate the concepts of this book.



Stochastic Processes Estimation and Control

Stochastic Processes  Estimation  and Control Author Jason L. Speyer
ISBN-10 9780898716559
Release 2008-11-06
Pages 383
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The authors provide a comprehensive treatment of stochastic systems from the foundations of probability to stochastic optimal control. The book covers discrete- and continuous-time stochastic dynamic systems leading to the derivation of the Kalman filter, its properties, and its relation to the frequency domain Wiener filter aswell as the dynamic programming derivation of the linear quadratic Gaussian (LQG) and the linear exponential Gaussian (LEG) controllers and their relation to HÝsubscript 2¨ and HÝsubscript Ýinfinity¨¨ controllers and system robustness. This book is suitable for first-year graduate students in electrical, mechanical, chemical, and aerospace engineering specializing in systems and control. Students in computer science, economics, and possibly business will also find it useful.



Advanced Mathematical and Computational Tools in Metrology and Testing X

Advanced Mathematical and Computational Tools in Metrology and Testing X Author Franco Pavese
ISBN-10 9789814678636
Release 2015-04-22
Pages 448
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This volume contains original and refereed contributions from the tenth AMCTM Conference (http://www.nviim.ru/AMCTM2014) held in St. Petersburg (Russia) in September 2014 on the theme of advanced mathematical and computational tools in metrology and testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards. Contents:Fostering Diversity of Thought in Measurement Science (F Pavese and P De Bièvre)Polynomial Calibration Functions Revisited: Numerical and Statistical Issues (M G Cox and P Harris)Empirical Functions with Pre-Assigned Correlation Behaviour (A B Forbes)Models and Methods of Dynamic Measurements: Results Presented by St. Petersburg Metrologists (V A Granovskii)Interval Computations and Interval-Related Statistical Techniques: Estimating Uncertainty of the Results of Data Processing and Indirect Measurements (V Ya Kreinovich)Classification, Modeling and Quantification of Human Errors in Chemical Analysis (I Kuselman)Application of Nonparametric Goodness-of-Fit Tests: Problems and Solution (B Yu Lemeshko)Dynamic Measurements Based on Automatic Control Theory Approach (A L Shestakov)Models for the Treatment of Apparently Inconsistent Data (R Willink)Model for Emotion Measurements in Acoustic Signals and Its Analysis (Y Baksheeva, K Sapozhnikova and R Taymanov)Uncertainty Calculation in Gravimetric Microflow Measurements (E Batista, N Almeida, I Godinho and E Filipe)Uncertainties Propagation from Published Experimental Data to Uncertainties of Model Parameters Adjusted by the Least Squares (V I Belousov, V V Ezhela, Y V Kuyanov, S B Lugovsky, K S Lugovsky and N P Tkachenko)A New Approach for the Mathematical Alignment Machine Tool-Paths on a Five-Axis Machine and Its Effect on Surface Roughness (S Boukebbab, J Chaves-Jacob, J-M Linares and N Azzam)Goodness-of-Fit Tests for One-Shot Device Testing Data (E V Chimitova and N Balakrishan)Calculation of Coverage Intervals: Some Study Cases (A Stepanov, A Chunovkina and N Burmistrova)Application of Numerical Methods in Metrology of Electromagnetic Quantities (M Cundeva-Blajer)Calibration Method of Measuring Instruments in Operating Conditions (A A Danilov, Yu V Kucherenko, M V Berzhinskaya, N P Ordinartseva)Statistical Methods for Conformity Assessment When Dealing with Computationally Expensive Systems: Application to a Fire Engineering Case Study (S Demeyer, N Fischer, F Didieux and M Binacchi)Overview of EMRP Joint Reserch Project NEW06 "Traceability for Computationally-Intensive Metrology" (A B Forbes, I M Smith, F Härtig and K Wendt)Stable Units of Account for Economic Value Correct Measuring (N Hovanov)A Novel Approach for Uncertainty Evaluation Using Characteristic Function Theory (A B Ionov, N S Chernysheva and B P Ionov)Estimation of Test Uncertainty for TraCIM Reference Pairs (F Keller, K Wendt and F Härtig)Approaches for Assigning Numerical Uncertainty to Reference Data Pairs for Software Validation (G J P Kok and I M Smith)Uncertainty Evaluation for a Computationally Expensive Model of a Sonic Nozzle (G J P Kok and N Pelevic)EllipseFit4HC: A MATLAB Algorithm for Demodulation and Uncertainty Evaluation of the Quadrature Interferometer Signals (R Köning, G Wimmer and V Witkovský)Considerations on the Influence of Test Equipment Instability and Calibration Methods on Measurement Uncertainty of the Test Laboratory (A S Krivov, S V Marinko and I G Boyko)A Cartesian Method to Improve the Results and Save Computation Time in Bayesian Signal Analysis (G A Kyriazis)The Definition of the Reliability of Identification of Complex Organic Compounds Using HPLC and Base Chromatographic and Spectral Data (E V Kulyabina and Yu A Kudeyarov)Uncertainty Evaluation of Fluid Dynamic Simulation with One-Dimensional Riser Model by Means of Stochastic Differential Equations (E A O Lima, S B Melo, C C Dantas, F A S Teles and S Soares Bandiera)Simulation Method to Estimate the Uncertainties of ISO Specifications (J-M Linares and J M Sprauel)Adding a Virtual Layer in a Sensor Network to Improve Measurement Reliability (U Maniscalco and R Rizzo)Calibration Analysis of a Computational Optical System Applied in the Dimensional Monitoring of a Suspension Bridge (L L Martins, J M Rebordão and A S Ribeiro)Determination of Numerical Uncertainty Associated with Numerical Artefacts for Validating Coordinate Metrology Software (H D Minh, I M Smith and A B Forbes)Least-Squares Method and Type B Evaluation of Standard Uncertainty (R Palenčár, S Ďuriš, P Pavlásek, M Dovica, S Slosarčík and G Wimmer)Optimising Measurement Processes Using Automated Planning (S Parkinson, A Crampton and A P Longstaff)Software Tool for Conversion of Historical Temperature Scales (P Pavlásek, S Ďuriš, R Palenčár and A Merlone)Few Measurements, Non-Normality: A Statement on the Expanded Uncertainty (J Petry, B De Boeck, M Dobre and A Peruzzi)Quantifying Uncertainty in Accelerometer Sensitivity Studies (A L Rukhin and D J Evans)Metrological Aspects of Stopping Iterative Procedures in Inverse Problems for Static-Mode Measurements (K K Semenov)Inverse Problems in Theory and Practice of Measurements and Metrology (K K Semenov, G N Solopchenko and V Ya Kreinovich)Fuzzy Intervals as Foundation of Metrological Support for Computations with Inaccurate Data (K K Semenov, G N Solopchenko and V Ya Kreinovich)Testing Statistical Hypotheses for Generalized Semiparametric Proportional Hazards Models with Cross-Effect of Survival Functions (M A Semenova and E V Chimitova)Novel Reference Value and DOE Determination by Model Selection and Posterior Predictive Checking (K Shirono, H Tanaka, M Shiro and K Ehara)Certification of Algorithms for Constructing Calibration Curves of Measuring Instruments (T Siraya)Discrete and Fuzzy Encoding of the ECG-Signal for Multidisease Diagnostic System (V Uspenskiy, K Vorontsov, V Tselykh and V Bunakov)Application of Two Robust Methods in Inter-Laboratory Comparisons with Small Samples (E T Volodarsky and Z L Warsza)Validation of CMM Evaluation Software Using TraCIM (K Wendt, M Franke and F Härtig)Semi-Parametric Polynomial Method for Retrospective Estimation of the Change-Point of Parameters of Non-Gaussian Sequences (S V Zabolotnii and Z L Warsza)Use of a Bayesian Approach to Improve Uncertainty of Model-Based Measurements by Hybrid Multi-Tool Metrology (N-F Zhang, B M Barnes, R M Silver and H Zhou)Application of Effective Number of Observations and Effective Degrees of Freedom for Analysis of Autocorrelated Observations (A Zieba) Readership: Researchers, graduate students, academics and professionals in metrology. Key Features:Unique consolidated series of books (started in 1993) in mathematics, statistics and software specifically for metrology and testingAuthors are among the most prominent in the metrology and testing fieldsNo competing books in the same comprehensive fieldKeywords:Mathematics;Statistics;Modeling;Uncertainty;Metrology;Testing;Computational Tools;Measurement Science



Model Based Fault Diagnosis Techniques

Model Based Fault Diagnosis Techniques Author Steven X. Ding
ISBN-10 9781447147992
Release 2012-12-20
Pages 504
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Guaranteeing a high system performance over a wide operating range is an important issue surrounding the design of automatic control systems with successively increasing complexity. As a key technology in the search for a solution, advanced fault detection and identification (FDI) is receiving considerable attention. This book introduces basic model-based FDI schemes, advanced analysis and design algorithms, and mathematical and control-theoretic tools. This second edition of Model-Based Fault Diagnosis Techniques contains: • new material on fault isolation and identification and alarm management; • extended and revised treatment of systematic threshold determination for systems with both deterministic unknown inputs and stochastic noises; • addition of the continuously-stirred tank heater as a representative process-industrial benchmark; and • enhanced discussion of residual evaluation which now deals with stochastic processes. Model-based Fault Diagnosis Techniques will interest academic researchers working in fault identification and diagnosis and as a text it is suitable for graduate students in a formal university-based course or as a self-study aid for practising engineers working with automatic control or mechatronic systems from backgrounds as diverse as chemical process and power engineering.



Random Processes in Automatic Control

Random Processes in Automatic Control Author J. Halcombe Jr Laning
ISBN-10 UOM:39015078057190
Release 1956
Pages 434
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Random Processes in Automatic Control has been writing in one form or another for most of life. You can find so many inspiration from Random Processes in Automatic Control also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Random Processes in Automatic Control book for free.



Linear Systems and Control

Linear Systems and Control Author Martin J. Corless
ISBN-10 0203911377
Release 2003-03-27
Pages 368
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Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.



Subspace Identification for Linear Systems

Subspace Identification for Linear Systems Author Peter van Overschee
ISBN-10 9781461304654
Release 2012-12-06
Pages 272
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Subspace Identification for Linear Systems focuses on the theory, implementation and applications of subspace identification algorithms for linear time-invariant finite- dimensional dynamical systems. These algorithms allow for a fast, straightforward and accurate determination of linear multivariable models from measured input-output data. The theory of subspace identification algorithms is presented in detail. Several chapters are devoted to deterministic, stochastic and combined deterministic-stochastic subspace identification algorithms. For each case, the geometric properties are stated in a main 'subspace' Theorem. Relations to existing algorithms and literature are explored, as are the interconnections between different subspace algorithms. The subspace identification theory is linked to the theory of frequency weighted model reduction, which leads to new interpretations and insights. The implementation of subspace identification algorithms is discussed in terms of the robust and computationally efficient RQ and singular value decompositions, which are well-established algorithms from numerical linear algebra. The algorithms are implemented in combination with a whole set of classical identification algorithms, processing and validation tools in Xmath's ISID, a commercially available graphical user interface toolbox. The basic subspace algorithms in the book are also implemented in a set of Matlab files accompanying the book. An application of ISID to an industrial glass tube manufacturing process is presented in detail, illustrating the power and user-friendliness of the subspace identification algorithms and of their implementation in ISID. The identified model allows for an optimal control of the process, leading to a significant enhancement of the production quality. The applicability of subspace identification algorithms in industry is further illustrated with the application of the Matlab files to ten practical problems. Since all necessary data and Matlab files are included, the reader can easily step through these applications, and thus get more insight in the algorithms. Subspace Identification for Linear Systems is an important reference for all researchers in system theory, control theory, signal processing, automization, mechatronics, chemical, electrical, mechanical and aeronautical engineering.



Industrial Control Systems

Industrial Control Systems Author Adedeji B. Badiru
ISBN-10 9781420075595
Release 2016-04-19
Pages 382
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Issues such as logistics, the coordination of different teams, and automatic control of machinery become more difficult when dealing with large, complex projects. Yet all these activities have common elements and can be represented by mathematics. Linking theory to practice, Industrial Control Systems: Mathematical and Statistical Models and Techniques presents the mathematical foundation for building and implementing industrial control systems. The book contains mathematically rigorous models and techniques generally applicable to control systems with specific orientation toward industrial systems. An amalgamation of theoretical developments, applied formulations, implementation processes, and statistical control, the book covers: Industrial innovations and systems analysis Systems fundamentals Technical systems Production systems Systems filtering theory Systems control Linear and nonlinear systems Switching in systems Systems communication Transfer systems Statistical experimental design models (factorial design and fractional factorial design) Response surface models (central composite design and Box–Behnken design) Examining system fundamentals and advanced topics, the book includes examples that demonstrate how to use the statistical designs to develop feedback controllers and minimum variance controller designs for industrial applications. Clearly detailing concepts and step-by-step procedures, it matches mathematics with practical applications, giving you the tools to achieve system control goals.



Feedback Systems

Feedback Systems Author Karl Johan Aström
ISBN-10 1400828732
Release 2010-04-12
Pages 408
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This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic solutions manual is available. Feedback Systems is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences. Covers the mathematics needed to model, analyze, and design feedback systems Serves as an introductory textbook for students and a self-contained resource for researchers Includes exercises at the end of every chapter Features an electronic solutions manual Offers techniques applicable across a range of disciplines



Functional Analysis Calculus of Variations and Optimal Control

Functional Analysis  Calculus of Variations and Optimal Control Author Francis Clarke
ISBN-10 9781447148203
Release 2013-02-06
Pages 591
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Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields.



Control of Complex Systems

Control of Complex Systems Author Kyriakos Vamvoudakis
ISBN-10 9780128054376
Release 2016-07-27
Pages 762
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In the era of cyber-physical systems, the area of control of complex systems has grown to be one of the hardest in terms of algorithmic design techniques and analytical tools. The 23 chapters, written by international specialists in the field, cover a variety of interests within the broader field of learning, adaptation, optimization and networked control. The editors have grouped these into the following 5 sections: “Introduction and Background on Control Theory”, “Adaptive Control and Neuroscience”, “Adaptive Learning Algorithms”, “Cyber-Physical Systems and Cooperative Control”, “Applications”. The diversity of the research presented gives the reader a unique opportunity to explore a comprehensive overview of a field of great interest to control and system theorists. This book is intended for researchers and control engineers in machine learning, adaptive control, optimization and automatic control systems, including Electrical Engineers, Computer Science Engineers, Mechanical Engineers, Aerospace/Automotive Engineers, and Industrial Engineers. It could be used as a text or reference for advanced courses in complex control systems. • Collection of chapters from several well-known professors and researchers that will showcase their recent work • Presents different state-of-the-art control approaches and theory for complex systems • Gives algorithms that take into consideration the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals and malicious attacks compromising the security of networked teams • Real system examples and figures throughout, make ideas concrete Includes chapters from several well-known professors and researchers that showcases their recent work Presents different state-of-the-art control approaches and theory for complex systems Explores the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals, and malicious attacks compromising the security of networked teams Serves as a helpful reference for researchers and control engineers working with machine learning, adaptive control, and automatic control systems