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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.
This book investigates the theoretical foundations and practical applications of algebraic Riccati equations within the context of linear systems. The authors, Leiba Rodman and Peter Lancaster, leverage their expertise in matrix theory to provide a rigorous mathematical framework for solving these equations. By synthesizing background matrix theory with specific iterative and geometric analysis, the text establishes a comprehensive methodology for addressing both continuous and discrete system problems.
What You Will Find
Scope Limits
Experts recognize this work as a rigorous and foundational reference for researchers and graduate students in control theory and applied mathematics. Readers frequently note the high level of technical density and the systematic, thorough approach to the subject matter.
Page Count:
502
Publication Date:
1995-01-01
Publisher:
Clarendon Press
ISBN-10:
0191591254
ISBN-13:
9780191591259
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