Control Problems of Discrete-Time Dynamical Systems

This monograph deals with control problems of discrete-time dynamical systems, which include linear and nonlinear input/output relations. It will be of popular interest to researchers, engineers and graduate students who specialized in system theory. A new method, which produces manipulated inputs, is presented in the sense of state control and output control. This monograph provides new results and their extensions, which can also be more applicable for nonlinear dynamical systems. To present the effectiveness of the method, many numerical examples of control problems are provided as well. Table of Contents Cover Control Problemsof Discrete-Time Dynamical Systems ISBN 9783642380570 ISBN 9783642380587 Preface Contents Chapter 1 Introduction Chapter 2 Input/Output Map and Performance Function for Control Problems 2.1 Input Response Maps (Input/Output Maps with Causality) 2.2 Performance Function for Control Problems 2.2.1 Least Square Method 2.3 Historical Notes and Concluding Remarks Chapter 3 Control Problems of Linear Systems 3.1 Basic Facts about Linear Systems 3.2 Finite Dimensional Linear Systems 3.3 Control Problems 3.4 Historical Notes and Concluding Remarks Chapter 4 Control Problems of So-Called Linear System 4.1 Basic Facts about So-Called Linear Systems 4.2 Finite Dimensional So-Called Linear Systems 4.3 Control Problems 4.4 Historical Notes and Concluding Remarks Chapter 5 Control Problems of Almost Linear System 5.1 Basic Facts about Almost Linear Systems 5.2 Finite Dimensional Almost Linear Systems 5.3 Control Problems 5.4 Historical Notes and Concluding Remarks Chapter 6 Control Problems of Pseudo Linear System 6.1 Basic Facts about Pseudo Linear Systems 6.2 Finite Dimensional Pseudo Linear Systems 6.3 Control Problems 6.4 Historical Notes and Concluding Remarks Chapter 7 Control Problems of Affine Dynamical System 7.1 Basic Facts about Affine Dynamical Systems 7.2 Finite Dimensional Affne Dynamical Systems 7.3 Control Problems 7.4 Historical Notes and Concluding Remarks Chapter 8 Control Problems of Linear Representation Systems 8.1 Basic Facts about Linear Representation Systems 8.2 Finite Dimensional Linear Representation Systems 8.3 Control Problems 8.4 Historical Notes and Concluding Remarks References Index