Translations of Mathematical Monographs 1997; 282 pp; hardcover Volume: 169 ISBN10: 0821806564 ISBN13: 9780821806562 List Price: US$120 Member Price: US$96 Order Code: MMONO/169
 This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the GelfandShilov 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 LuréRiccati equations are studied. Readership Graduate students and research mathematicians interested in ordinary differential equations, computer science, and systems theory and control. Table of Contents  Matrix exponentials, Green matrices, and the Lopatinskii condition
 Quadratic Lyapunov functions
 Qualitative properties of problems and algorithmic aspects
 Linear control systems
 References
 Index
