Numerical Methods for Linear Control Systems - Biswa Datta
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Numerical Methods for Linear Control Systems

By: Biswa Datta

Hardcover | 17 December 2003

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Introduction and Overview; Review of Basic Concepts and Results from The oretical Linear Algebra; Fundamental Tools and Concepts from Numerical L inear Algebra; Canonical Forms Obtained via Orthogonal Transformations; Linear State Space Models and Solutions of the State Equations; Contolla bility, Observability and Distance to Uncontrollability; Stability, Iner tia and Robust Stability; Numerical Solutions and Conditioning of Lyapun ov and Sylvester Equations; Realization and Subspace Identification; Fee dback Stabilization, Eigenvalue Assignment and Optimal Control; Numerica l Methods and Conditioning of the Eigenvalue Assignment Problems; State Estimation; Numerical Solutions and Conditioning of Algebraic Riccati Eq uations; Internal Balancing and Model Reduction; Large-Scale Matrix Comp utations in Control: Krylov Subspace Methods; Numerical Methods for Matr ix-Second-Order Control Systems; Existing Software for Control Systems D esign and Analysis
Industry Reviews
"This is a very comprehensive book presenting the state-of-the-art in numerical techniques for linear systems and control. All the key developments in the area in the last two decades are covered in a clear, concise and practical manner. The accompanying MATLAB-based software implementations of the main algorithms will make the book particularly attractive to graduate students, researchers and practicing engineers concerned about numerical issues in control techniques. The book is very appropriate for one or more graduate courses on numerical techniques for control that could follow a conventional first course on linear system theory." -Professor Rajni V. Patel, Chair of Department of Electrical and Computer Engineering, University of Western Ontario, London, Canada "This book provides a comprehensive treatment of system theory and numerical analysis written by an expert in both fields. It covers a wide range of topics and can be used for undergraduate and graduate courses in the increasingly important area of systems and computation" - Thanos Antoulas, Rice University "Datta has done a wonderful job in writing this difficult interdisciplinary book, blending scientific computing and numerical linear algebra with control and systems theory. In a very elegant manner Datta starts with essential components of numerical linear algebra, and moves to very useful advanced numerical algorithms and software for control systems. As an industrial mathematician involved in aerospace engineering research, I feel that the book will be an asset for researchers and practicing engineers who are using applied and computational mathematics to find solutions to complex industrial problems arising from well-established and emerging control applications - Daniel J. Pierce - Boeing (ASK TIFFANY G. for use permissions)

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