Linear Discrete-Time Systems

Cover -- Half Title -- Title -- Copyright -- Contents -- List of Figures -- Preface -- Part I BASIC TOPICS -- Chapter 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 -- Chapter 2 Classes of discrete-time linear systems -- 2.1 IO systems -- 2.2 ISO systems -- 2.3 IIO systems -- 2.4 System forms -- 2.4.1 From IO system to ISO system -- 2.4.2 From ISO system to IO system -- 2.4.3 Relationships among system descriptions -- Chapter 3 System regimes -- 3.1 System regime meaning -- 3.2 System regimes and initial conditions -- 3.3 Forced and free regimes -- 3.3.1 Introduction -- 3.3.2 The temporal domain descriptions. The independent variable is discrete time td ∈ Td0 (k ∈ N0) -- 3.3.3 The complex domain system descriptions. The inde-pendent variable is the complex variable z ∈ C -- 3.3.4 Basic problem -- 3.4 Desired regime -- 3.4.1 Introduction -- 3.4.2 IO systems -- 3.4.3 ISO systems -- 3.4.4 IIO systems -- 3.5 Deviations and mathematical models -- 3.5.1 Introduction -- 3.5.2 IO systems -- 3.5.3 ISO systems -- 3.5.4 IIO systems -- 3.6 Stationary and nonstationary regimes -- 3.6.1 Introduction -- 3.6.2 IO systems -- 3.6.3 ISO systems -- 3.6.4 IIO systems -- 3.7 Equilibrium regime -- 3.7.1 Introduction -- 3.7.2 IO systems -- 3.7.3 ISO systems -- 3.7.4 IIO systems -- Chapter 4 Transfer function matrix G(z ) -- Part II FULL TRANSFER FUNCTIONMATRIX F(z ) AND SYSTEM REALIZATION -- Chapter 5 Problem statement -- Chapter 6 Nondegenerate matrices -- Chapter 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 -- Chapter 8 Determination of F(z ) -- 8.1 F(z ) of the IO system.