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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.
List of contents
Introduction.- Controllability and Minimum Energy Control of Linear Finite Dimensional Systems.- Controllability of Linear Systems with Delays in State and Control.- Controllability of Higher-Order Systems with Multiple Delays in Control.- Constrained Controllability of Semilinear Systems with Multiple Delays in Control.- Constrained Controllability of Second-Order Dynamical Systems with Delay.- Controllability and Minimum Energy Control of Fractional Discrete-Time Systems.- Controllability and Minimum Energy Control of Fractional Discrete-Time Systems with Delay.- Controllability of Fractional Discrete-Time Semilinear Systems.- Controllability of Fractional Discrete-Time Semilinear Systems with Multiple Delays in Control.- Stochastic Controllability and Minimum Energy Control of Systems with Multiple Variable Delays in Control.- Controllability of Stochastic Systems with Distributed Delays in Control.
Summary
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.
