Representation and Control of Infinite Dimensional Systems

ISBN: 978-0-8176-4461-1 (Print) 978-0-8176-4581-6 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxvii

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-10

      Introduction

  3. Finite Dimensional Linear Control Dynamical Systems

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-45

      Control of Linear Differential Systems

    3. No Access

      Book Chapter

      Pages 47-84

      Linear Quadratic Two-Person Zero-Sum Differential Games

  4. Representation of Infinite Dimensional Linear Control Dynamical Systems

    1. Front Matter

      Pages 85-85

    2. No Access

      Book Chapter

      Pages 87-172

      Semigroups of Operators and Interpolation

    3. No Access

      Book Chapter

      Pages 173-200

      Variational Theory of Parabolic Systems

    4. No Access

      Book Chapter

      Pages 201-227

      Semigroup Methods for Systems With Unbounded Control and Observation Operators

    5. No Access

      Book Chapter

      Pages 229-310

      State Space Theory of Differential Systems With Delays

  5. Qualitative Properties of Infinite Dimensional Linear Control Dynamical Systems

    1. Front Matter

      Pages 311-311

    2. No Access

      Book Chapter

      Pages 313-382

      Controllability and Observability for a Class of Infinite Dimensional Systems

  6. Quadratic Optimal Control: Finite Time Horizon

    1. Front Matter

      Pages 383-383

    2. No Access

      Book Chapter

      Pages 385-429

      Bounded Control Operators: Control Inside the Domain

    3. No Access

      Book Chapter

      Pages 431-457

      Unbounded Control Operators: Parabolic Equations With Control on the Boundary

    4. No Access

      Book Chapter

      Pages 459-475

      Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary

  7. Quadratic Optimal Control: Infinite Time Horizon

    1. Front Matter

      Pages 477-477

    2. No Access

      Book Chapter

      Pages 479-516

      Bounded Control Operators: Control Inside the Domain

    3. No Access

      Book Chapter

      Pages 517-527

      Unbounded Control Operators: Parabolic Equations With Control on the Boundary

    4. No Access

      Book Chapter

      Pages 529-536

      Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary

  8. Back Matter

    Pages 537-575