The book offers a comprehensive overview of controllability problems and minimum energy control for broad classes of dynamical systems, including linear, semilinear and nonlinear systems, which are important for modeling systems in automatic control, electrical engineering, mechanics and informatics. It develops the theory of controllability for both finite and infinite dimensional dynamical systems described by differential state equation, and studies in detail functional analysis and matrix algebra, which provide essential and effective tools for the new solutions of a number of important controllability problems. The theoretical results are illustrated by examples throughout the book. Primarily intended for academic researchers working in mathematical control theory, the self-contained text is easily accessible and particularly interesting for control engineering and applied mathematics graduates. Foreword......Page 6 Preface......Page 8 Contents......Page 10 1.1 Controllability Concept......Page 13 1.2 Controllability Significance......Page 14 1.3 Delayed Systems......Page 15 1.4 Fractional Systems......Page 16 1.6 Stochastic Systems......Page 17 1.8 Infinite-Dimensional Systems......Page 18 1.9 Nonlinear Neutral Impulsive Integrodifferential Evolution Systems in Banach Spaces......Page 19 1.10 Second Order Impulsive Functional Integrodifferential Systems in Banach Spaces......Page 21 1.11 Switched Systems......Page 22 1.12 Quantum Dynamical Systems......Page 23 2.1 Introduction......Page 25 2.2 Mathematical Model......Page 26 2.3 Controllability Conditions......Page 27 2.4 Stabilizability......Page 28 2.6 Controllability With Constrained Controls......Page 30 2.7 Controllability After Introducing Sampling......Page 31 2.8 Perturbations of Controllable Dynamical Systems......Page 32 2.9 Minimum Energy Control......Page 33 2.10 Linear Time-Varying Systems......Page 35 3.2 System Description......Page 38 3.3 Controllability Conditions......Page 42 3.4 Minimum Energy Control......Page 43 4.2 System Description......Page 47 4.3 Controllability Conditions......Page 50 5.1 Introduction......Page 54 5.2 System Description......Page 55 5.3 Preliminaries......Page 56 5.4 Controllability Conditions......Page 58 5.5 Constrained Controllability Conditions for Linear Systems......Page 59 5.6 Positive Controllability of Positive Dynamical Systems......Page 64 6.1 Introduction......Page 75 6.2 System Description......Page 76 6.3 Controllability Conditions......Page 79 6.4 Constrained Controllability of Second Order Infinite Dimensional Systems......Page 85 7.1 Introduction......Page 97 7.2 Fractional Discrete Systems......Page 98 7.3 Controllability Conditions......Page 99 7.4 Minimum Energy Control......Page 102 8.2 Fractional Delayed Systems......Page 107 8.3 Controllability Conditions......Page 108 8.4 Minimum Energy Control......Page 109 9.2 Fractional Semilinear Systems......Page 115 9.3 Controllability Conditions......Page 117 10.2 Fractional Semilinear Systems with Multiple Delays in Control......Page 124 10.3 Controllability Conditions......Page 126 10.4 Controllability of Discrete-Time Semilinear Systems with Delay in Control......Page 128 10.5 Controllability Conditions......Page 130 11.1 Introduction......Page 135 11.2 System Description......Page 136 11.3 Stochastic Relative Controllability......Page 144 11.4 Stationary Systems with Multiple Constant Delays......Page 146 11.5 Systems with Single Time Variable Delay......Page 153 11.6 Minimum Energy Control......Page 158 11.7 Minimum Energy Control of Stationary Systems with Multiple Delays......Page 162 11.8 Minimum Energy Control of Systems with Single Delay......Page 164 12.1 Introduction......Page 171 12.2 System Description......Page 172 12.3 Stochastic Relative Controllability......Page 176 References......Page 179
