Numerical methods for linear control systems

Numerical methods for linear control systems: design and analysis

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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. MATLAB-based software is included for implementing all of the major algorithms from the book. * Uniq…

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Title Statements

  • Full title :Numerical methods for linear control systems : design and analysis / Biswa Nath Datta.

Summary

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. MATLAB-based software is included for implementing all of the major algorithms from the book. * 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 * Includes MATLAB-based solution software.

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Edition Statements

  • Publication Date:©2004.

Publication Statements

The Physical Object

  • Description:1 online resource (Online-Datei.)

Edition Identifiers

  • ISBN:9780122035906, 0122035909, 9780080537887, 008053788X, 9781435608085, 1435608089
  • oclc:ocn731732059
  • LC Classification:QA402.3
  • Dewey Decimal:629.8/32

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.

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