Numerical Methods for Linear Control Systems

Numerical Methods for Linear Control Systems

1st Edition - December 15, 2003

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  • Author: Biswa Datta
  • Hardcover ISBN: 9780122035906
  • eBook ISBN: 9780080537887

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Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models.

Key Features

  • Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions
  • Background material in linear algebra, numerical linear algebra, and control theory included in text
  • Step-by-step explanations of the algorithms and examples


practicing and academic control engineers and theorists, vibration, aerospace, automotive, and structural dynamics engineers, applied and computational linear algebraists

Table of Contents

  • Introduction and Overview; Review of Basic Concepts and Results from Theoretical Linear Algebra; Fundamental Tools and Concepts from Numerical Linear Algebra; Canonical Forms Obtained via Orthogonal Transformations; Linear State Space Models and Solutions of the State Equations; Contollability, Observability and Distance to Uncontrollability; Stability, Inertia and Robust Stability; Numerical Solutions and Conditioning of Lyapunov and Sylvester Equations; Realization and Subspace Identification; Feedback Stabilization, Eigenvalue Assignment and Optimal Control; Numerical Methods and Conditioning of the Eigenvalue Assignment Problems; State Estimation; Numerical Solutions and Conditioning of Algebraic Riccati Equations; Internal Balancing and Model Reduction; Large-Scale Matrix Computations in Control: Krylov Subspace Methods; Numerical Methods for Matrix-Second-Order Control Systems; Existing Software for Control Systems Design and Analysis

Product details

  • No. of pages: 640
  • Language: English
  • Copyright: © Academic Press 2003
  • Published: December 15, 2003
  • Imprint: Academic Press
  • Hardcover ISBN: 9780122035906
  • eBook ISBN: 9780080537887

About the Author

Biswa Datta

Affiliations and Expertise

Northern Illinois University, USA

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