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

Willems, J.C.; Polderman, J.W.

Softcover

ISBN 10: 1475729553 ISBN 13: 9781475729559

Verlag: Springer, 2013

Inhaltsangabe

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.

Über diesen Titel

Críticas

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."

Reseña del editor

Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 1475729553
• ISBN 13: 9781475729559
• Einband: Tapa blanda
• Anzahl der Seiten: 456
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar