Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics (26))

This is a book about modelling, analysis and control of linear time invariant systems. It uses the behavioural approach for which the authors are well regarded. It is a suitable text for senior undergraduates or beginning graduate students in mathematics and engineering and contains numerous exercises, including simulation problems and examples, notably of mechanical systems and electrical circuits.

From the reviews:

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

"The present book is a major original contribution to the literature and is of high quality. The most original chapters are the ‘strongly behavioural’ Chapters 1-6 and the historical preface. The introduction is carefully written and each chapter ends with a precise recapitulation of what has been done. It is well organized, technically well written, philosophically nice, and contains a wealth of examples and exercises. It is also well self-contained for its audience...scientific honesty dictates to congratulate the authors and to recommend this book as a textbook to a large public of systems and control students, and especially for those having already followed a first course on linear systems."