Description
This book provides a careful treatment of the theory of algebraic Riccati equations, which arise in a variety of contexts, including continuous and discrete systems, geometric theory, and iterative analysis. The book is divided into four parts, and the last part contains eight problem areas.
This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HD*W*w control and total least squares methods. Review: [T]his is a very useful book, both for pure and applied mathematicians and for electrical and control engineers. --Mathematical Reviews
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