Mathematical Theory of Control Systems Design: 341 (Mathematics and Its Applications, 341) - Hardcover

Afanasiev, V.N.; Kolmanovskii, V.; Nosov, V.R.

Hardcover

ISBN 10: 0792337247 ISBN 13: 9780792337249

Publisher: Springer, 1996

Synopsis

Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli­ cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus­ sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.

About this title

Synopsis

The topics covered in this work are spread over an introduction and four parts. Each chapter concludes with a brief review of the main results and formulae, and each part ends with an exercise section. Part One treats the fundamentals of modern stability theory. Part Two is devoted to the optimal control of deterministic systems. Part Three is concerned with problems of the control of systems under random disturbances of their parameters, and Part Four provides an outline of modern numerical methods of control theory. The many examples included illustrate the main assertions, teaching the reader the skills needed to construct models of relevant phenomena, to design nonlinear control systems, to explain the qualitative differences between various classes of control systems, and to apply what they have learned to the investigation of particular systems.

Edition details

• Publisher: Springer
• Publication date: 1996
• Language: English
• ISBN 10: 0792337247
• ISBN 13: 9780792337249
• Binding: Hardcover
• Number of pages: 696