ABSTRACT

Presents and demonstrates stabilizer design techniques that can be used to solve stabilization problems with constraints. These methods have their origins in convex programming and stability theory. However, to provide a practical capability in stabilizer design, the methods are tailored to the special features and needs of this field. Hence, the main emphasis of this book is on the methods of stabilization, rather than optimization and stability theory.
The text is divided into three parts. Part I contains some background material. Part II is devoted to behavior of control systems, taking examples from mechanics to illustrate the theory. Finally, Part III deals with nonlocal stabilization problems, including a study of the global stabilization problem.

chapter |5 pages

Introduction

part I|103 pages

Foundations

chapter Chapter 1|41 pages

Convex Analysis

chapter Chapter 2|34 pages

Differential equations and control systems

chapter Chapter 3|25 pages

Computational methods of convex analysis

part II|99 pages

Local Stabilization Problems

chapter Chapter 4|38 pages

Stabilization problem

chapter Chapter 5|23 pages

Controllable linear systems

chapter Chapter 6|10 pages

Stabilization of uncertain systems

chapter Chapter 7|25 pages

Unilateral stabilization

part III|69 pages

Nonlocal Stabilization Problems

chapter Chapter 8|38 pages

Stabilization to sets

chapter Chapter 9|29 pages

Global stabilization problem

chapter |3 pages

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