A.V. Balakrishnan

State Space Theory of Systems, 2nd, rev. & enlarged, ed., 1988, 208 pp., ISBN 0-911575-54-5, $65.00

THE TITLE IS OUT OF PRINT BUT THE PUBLISHER CAN PREPARE A COPY

A self-contained first-year graduate level introductory course emphasizing basic concepts. A coherent logically sequenced systematic presentation, with Applications chapters illustrating the use of the concepts and techniques developed. Starts from input-output description, followed by the triad of Controllability, Observability, and Stability. More advanced topics feature Canonical Representation and Stabilizability by State Feedback. Time-varying systems as well as Discrete-time systems are treated. A final chapter on Nonlinear systems. Review chapter on Linear Algebra. Worked-out examples and problems in every chapter.


TABLE OF CONTENTS

Preface to the First Edition ..... ix

Preface to the Second Edition ..... xi

Chapter 1. Review of Matrix Algebra ..... 1

Chapter 2. System Input-Output and State ..... 39

Chapter 3. Linear Dynamic Systems: Controllability ..... 63

Chapter 4. Linear Dynamic Systems: Observability ..... 79

Chapter 5. Linear Dynamic Systems: Stability ..... 103

Chapter 6. More on Controllability: Canonical Forms ..... 115

Chapter 7. State Estimation and State Stabilizability ..... 125

Chapter 8. Time-Varying Systems ..... 143

Chapter 9. Discrete-Time Systems ..... 157

Chapter 10. Nonlinear Systems ..... 189

Index ..... 189
 

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