Description

Book Synopsis
Details the basic theory of polynomial and fractional representation methods for algebraic analysis and synthesis of linear multivariable control systems. It also serves as a self-contained treatise of the mathematical theory so that results and techniques of the ``state space approaches'''' for regular and singular systems appear as special cases of a general theory covering the wider class of PMDs of linear systems. Among the topics covered are: real rational vector spaces and rational matrices, pole and zero structure of rational matrices at infinity, proper and omega stable rational fuctions and matrices.

Table of Contents
Real Rational Vector Spaces and Rational Matrices.

Polynomial Matrix Models of Linear Multivariable Systems.

Pole and Zero Structure of Rational Matrices at Infinity.

Dynamics of Polynomial Matrix Models.

Proper and Omega-Stable Rational Functions and Matrices.

Feedback System Stability and Stabilization.

Some Algebraic Design Problems.

Notations.

Appendices.

Index.

Linear Multivariable Control

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    A Hardback by A. I. G. Vardulakis

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      Book details

      Publisher Wiley
      Published 1/23/1991 12:00:00 AM
      ISBN-13 9780471928591
      978-0471928591
      ISBN-10 0471928593
      Also in:
      Mathematics Algebra Maths for scientists Electronics and communications engineering

      Description

      Book Synopsis
      Details the basic theory of polynomial and fractional representation methods for algebraic analysis and synthesis of linear multivariable control systems. It also serves as a self-contained treatise of the mathematical theory so that results and techniques of the ``state space approaches'''' for regular and singular systems appear as special cases of a general theory covering the wider class of PMDs of linear systems. Among the topics covered are: real rational vector spaces and rational matrices, pole and zero structure of rational matrices at infinity, proper and omega stable rational fuctions and matrices.

      Table of Contents
      Real Rational Vector Spaces and Rational Matrices.

      Polynomial Matrix Models of Linear Multivariable Systems.

      Pole and Zero Structure of Rational Matrices at Infinity.

      Dynamics of Polynomial Matrix Models.

      Proper and Omega-Stable Rational Functions and Matrices.

      Feedback System Stability and Stabilization.

      Some Algebraic Design Problems.

      Notations.

      Appendices.

      Index.

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