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Robust Controllability of Linear Systems
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Authors: Valery Y. Glizer (Ort Braude College, Karmiel, Israel) and Vladimir Turetsky (Ort Braude College, Karmiel, Israel) 
Book Description:
Controllability, i.e. the ability of a dynamic system to be transferred from a given set of initial positions to a given target set by a proper choice of the control function, is one of the basic system properties. Controllability has been well studied for systems without uncertainties by using an open-loop control. Unfortunately, this elegant theory is not applicable to real-life systems which are affected by unmeasurable components. For such systems, the controllability should be augmented by a robustness property with respect to any admissible uncertainty realization. As a rule, the robust controllability is realized by a feedback control. This book presents current research in the study of robust controllability of linear systems. (Imprint: Nova)

Table of Contents:

Part I. Robust Controllability for Non-Uniformly Bounded Controls and
Disturbances, pp. 1-26

1. Introduction

2. Main Notions

3. Linear Robust Transferring Strategies

4. Concluding Remarks and Literature Review

5. Exercises

6. Appendix: Proofs

Part II. Robust Controllability for Uniformly Bounded Controls and
Disturbances, pp. 27-82

1. Introduction

2. Preliminary Discussion and Problem Statement

3. Robust Controllability Set of Linear Transferring Strategy

4. Pursuit Problem

5. Concluding Remarks and Literature Review

6. Exercises

7. Appendix: Proofs

Part III. Saturated Linear Transferring Strategies, pp. 83-138

1. Introduction

2. Definition and Examples

3. Analysis and Construction of Robust Controllability Set

4. Pursuit Problem

5. Concluding Remarks and Literature Review

6. Exercises

7. Appendix: Proofs

Part IV. Inverse Problem for Robust Controllability Set Construction, pp. 139-182

1. Introduction

2. Inverse Problem Formulation and Examples

3. Necessary Conditions for the Controllability Set Boundary

4. Algorithm of the Strong Inverse Problem Solution

5. Solution of the Weak Inverse Problem

6. Inverse Pursuit Problem

7. Concluding Remarks and Literature Review

8. Exercises

9. Appendix: Proofs

Part V. Answers and Hints to Exercises, pp. 183-186

1. Chapter I

2. Chapter II

3. Chapter III

4. Chapter IV

Main Notations, pp. 187

References, pp. 189

Index, pp. 193

      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2012
   Pages: 7 x 10 (NBC - C)
   ISBN: 978-1-62100-160-7
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Robust Controllability of Linear Systems