Algebraic Theory for Multivariable Linear Systems

✍ Scribed by Hans Blomberg and Raimo Ylinen (Eds.)

• Publisher: Academic Press
• Year: 1983
• Tongue: English
• Leaves: 381
• Series: Mathematics in Science and Engineering 166
• Category: Library

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-ix
Hans Blomberg, Raimo Ylinen

Acknowledgements
Page x

Dedication
Page xiv

Symbols
Pages xv-xx

Introduction
Pages 1-45

Part I Basic Concepts of Systems Theory
Pages 47-48

2 Systems and system descriptions
Pages 49-55

3 Interconnections of systems
Pages 56-72

Part II Differential Systems. The Module Structure
Page 73

4 Generation of differential systems
Pages 75-79

5 The C[p]-module X
Pages 80-87

6 Differential input-output relations. Generators
Pages 88-105

7 Analysis and synthesis problems
Pages 106-199

Part III Differential Systems. The Vector Space Structure
Pages 201-202

8 The projection method
Pages 203-242

9 Interconnections of differential systems
Pages 243-269

Part IV Difference Systems
Page 271

10 Generation of difference systems
Pages 273-275

11 The module structure
Pages 276-280

12 Difference input-output relations. Generators
Pages 281-287

13 Analysis and synthesis problems
Pages 288-292

14 The vector space structure. The projection method
Pages 293-299

Appendices
Page 301

A1 Fundamentals of abstract algebra
Pages 303-320

A2 Polynomials and polynomial matrices
Pages 321-339

A3 Polynomials and rational forms in an endomorphism
Pages 340-341

A4 The space D of generalized functions
Pages 342-348

References
Pages 349-352

Index
Pages 353-360