Mathematical Control Theory

An Introduction

Authors:

ISBN: 978-0-8176-4732-2 (Print) 978-0-8176-4733-9 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-x

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-9

      Introduction

  3. Elements of classical control theory

    1. No Access

      Book Chapter

      Pages 10-27

      Controllability and observability

    2. No Access

      Book Chapter

      Pages 28-49

      Stability and stabilizability

    3. No Access

      Book Chapter

      Pages 50-61

      Realization theory

    4. No Access

      Book Chapter

      Pages 62-72

      Systems with constraints

  4. Nonlinear control systems

    1. No Access

      Book Chapter

      Pages 73-91

      Controllability and observability of nonlinear systems

    2. No Access

      Book Chapter

      Pages 92-120

      Stability and stabilizability

    3. No Access

      Book Chapter

      Pages 121-126

      Realization theory

  5. Optimal control

    1. No Access

      Book Chapter

      Pages 127-141

      Dynamic programming

    2. No Access

      Book Chapter

      Pages 142-151

      Dynamic programming for impulse control

    3. No Access

      Book Chapter

      Pages 152-169

      The maximum principle

    4. No Access

      Book Chapter

      Pages 170-175

      The existence of optimal strategies

  6. Infinite dimensional linear systems

    1. No Access

      Book Chapter

      Pages 176-205

      Linear control systems

    2. No Access

      Book Chapter

      Pages 206-220

      Controllability

    3. No Access

      Book Chapter

      Pages 221-231

      Stability and stabilizability

    4. No Access

      Book Chapter

      Pages 232-243

      Linear regulators in Hilbert spaces

  7. Back Matter

    Pages 244-260