Controllability and Minimum Energy Control

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. Front Matter ....Pages i-xi Introduction (Jerzy Klamka)....Pages 1-12 Controllability and Minimum Energy Control of Linear Finite Dimensional Systems (Jerzy Klamka)....Pages 13-25 Controllability of Linear Systems with Delays in State and Control (Jerzy Klamka)....Pages 27-35 Controllability of Higher Order Linear Systems with Multiple Delays in Control (Jerzy Klamka)....Pages 37-43 Constrained Controllability of Semilinear Systems with Multiple Constant Delays in Control (Jerzy Klamka)....Pages 45-65 Constrained Controllability of Second Order Dynamical Systems with Delay (Jerzy Klamka)....Pages 67-88 Controllability and Minimum Energy Control of Fractional Discrete-Time Systems (Jerzy Klamka)....Pages 89-98 Controllability and Minimum Energy Control of Fractional Discrete-Time Systems with Delay (Jerzy Klamka)....Pages 99-106 Controllability of Fractional Discrete-Time Semilinear Systems (Jerzy Klamka)....Pages 107-115 Controllability of Fractional Discrete-Time Semilinear Systems with Multiple Delays in Control (Jerzy Klamka)....Pages 117-127 Stochastic Controllability and Minimum Energy Control of Systems with Multiple Variable Delays in Control (Jerzy Klamka)....Pages 129-164 Controllability of Stochastic Systems with Distributed Delays in Control (Jerzy Klamka)....Pages 165-172 Back Matter ....Pages 173-176