| Hardcover ISBN: | 978-0-8218-0656-2 |
| Product Code: | MMONO/169 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4584-3 |
| Product Code: | MMONO/169.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-0656-2 |
| eBook: ISBN: | 978-1-4704-4584-3 |
| Product Code: | MMONO/169.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-0656-2 |
| Product Code: | MMONO/169 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4584-3 |
| Product Code: | MMONO/169.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-0656-2 |
| eBook ISBN: | 978-1-4704-4584-3 |
| Product Code: | MMONO/169.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
-
Book DetailsTranslations of Mathematical MonographsVolume: 169; 1997; 282 ppMSC: Primary 34; Secondary 49
This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered.
This volume can be used for practical study of ordinary differential equations using computers. In particular, algorithms and computational procedures, including the orthogonal sweep method, are described. The book also deals with stationary optimal control systems described by systems of ordinary differential equations with constant coefficients. The notions of controllability, observability, and stabilizability are analyzed, and some questions on the matrix Luré-Riccati equations are studied.
ReadershipGraduate students and research mathematicians interested in ordinary differential equations, computer science, and systems theory and control.
-
Table of Contents
-
Chapters
-
Matrix exponentials, Green matrices, and the Lopatinskii condition
-
Quadratic Lyapunov functions
-
Qualitative properties of problems and algorithmic aspects
-
Linear control systems
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered.
This volume can be used for practical study of ordinary differential equations using computers. In particular, algorithms and computational procedures, including the orthogonal sweep method, are described. The book also deals with stationary optimal control systems described by systems of ordinary differential equations with constant coefficients. The notions of controllability, observability, and stabilizability are analyzed, and some questions on the matrix Luré-Riccati equations are studied.
Graduate students and research mathematicians interested in ordinary differential equations, computer science, and systems theory and control.
-
Chapters
-
Matrix exponentials, Green matrices, and the Lopatinskii condition
-
Quadratic Lyapunov functions
-
Qualitative properties of problems and algorithmic aspects
-
Linear control systems
