Linear Discrete-Time Systems

Part I Basic Topics 1 Introduction 1.1 Discrete time, physical variables, and systems 1.2 Discrete time and system dynamics 1.3 Discrete-time systems and complex domain 1.4 Notational preliminaries 2 Classes of discrete-time linear systems 2.1 IO systems 2.2 ISO systems 2.3 IIO systems 2.4 System forms 3 System regimes 3.1 System regime meaning 3.2 System regimes and initial conditions 3.3 Forced and free regimes 3.4 Desired regime 3.5 Deviations and mathematical models 3.6 Stationary and nonstationary regimes 3.7 Equilibrium regime 4 Transfer function matrix G(z) Part II Full Transfer Function Matrix F(z) And System Realization 5 Problem statement 6 Nondegenerate matrices 7 Definition of F(z) 7.1 Definition of F(z) in general 7.2 Definition of F(z) of the IO system 7.3 Definition of F(z) of the ISO system 7.4 Definition of F(z) of the IIO system 8 Determination of F(z) 8.1 F(z) of the IO system 8.2 F(z) of the ISO system 8.3 F(z) of the IIO system 8.4 Conclusion: Common general form of F(z) 9 Full block diagram algebra 9.1 Introduction 9.2 Parallel connection 9.3 Connection in series 9.4 Feedback connection 10 Physical meaning of F(z) 10.1 The IO system 10.2 The ISO system 10.3 The IIO system 11 System matrix and equivalence 11.1 System matrix of the IO system 11.2 System matrix of the ISO System 11.3 System matrix of the IIO system 12 Realizations of F(z) 12.1 Dynamical and least dimension of a system 12.2 On realization and minimal realization 12.3 Realizations of F(z) of IO systems 12.4 Realizations of F(z) of ISO systems 12.5 Realizations of F(z) of IIO systems Part III Stability Study 13 Lyapunov stability 13.1 Lyapunov stability concept 13.2 Definitions 13.3 Lyapunov method and theorems 13.4 Conditions via F(z) 14 Bounded Input stability 14.1 BI stability and initial conditions 14.2 Definitions 14.3 Conditions 15 Motivation for the book 16 Summary of the contributions 17 Future teaching and research V Bibliography VI Appendices A Notation A.1 Abbreviations A.2 Indexes A.3 Letters A.4 Names A.5 Symbols and vectors A.6 Units B Z-transforms and unit impulses B.1 Z-transforms B.2 Unit impulses Part VII Index Author Index Subject Index

9781138039599

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