Description 
1 online resource 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Contents 
Front Cover; A Generalized Framework of Linear Multivariable Control; Copyright; Contents; Chapter 1: Introduction; Chapter 2: Mathematical preliminaries; 2.1 Vector algebra; 2.2 Matrix algebra; 2.2.1 Matrix properties; 2.2.2 Basic matrix operations; 2.3 Matrix inverse; 2.4 Solving system of linear equation; 2.4.1 Gauss method; 2.4.2 A general scheme for solving system of linear equation; 2.5 Linear differential equation; 2.5.1 Introduction; 2.5.2 Homogeneous equations with constant coefficients; 2.5.3 Nonhomogeneous equation with constant coefficients. 

2.5.4 Equation with variable coefficients2.5.5 Systems of linear differential equations; 2.6 Matrix differential equation; 2.6.1 Introduction; 2.6.2 Stability and steady state of the matrix system; 2.6.3 Solution in matrix form; 2.6.4 Solving matrix ordinary differential equations; 2.7 Laplace transform; 2.7.1 Introduction; 2.7.2 Formal definition; 2.7.3 Region of convergence; 2.7.4 Laplace transform pair table; 2.7.5 Properties and theorems; 2.7.6 Inverse Laplace transform; Chapter 3: Generalized inverse of matrix and solution of linear system equation; 3.1 The generalized inverse of matrix. 

3.1.1 The left inverse and right inverse3.1.2 MoorePenrose inverse; 3.1.3 The minimization approach to solve an algebraic matrix equation; 3.2 The full rank decomposition theorem; 3.3 The least square solution to an algebraic matrix equation; 3.3.1 The solution to the compatible linear equations; 3.3.2 The least square solution of incompatible equation; 3.3.3 The minimum norm least squares solution for the equations; 3.4 The singular value decomposition; Chapter 4: Polynomial fraction description; 4.1 Introduction; 4.2 Right polynomial fractions; 4.3 Left polynomial fraction. 

4.4 Column and row degrees4.5 Minimal realization; 4.6 Poles and zeros; 4.7 State feedback; Chapter 5: Stability; 5.1 Internal stability; 5.1.1 Uniform exponential stability; 5.1.2 Uniform asymptotic stability; 5.1.3 Lyapunov transformation; 5.2 Lyapunov stability; 5.2.1 Introduction; 5.2.2 Uniform stability; 5.2.3 Uniform exponential stability; 5.2.4 Instability; 5.2.5 Timeinvariant case; 5.3 Inputoutput stability; 5.3.1 Uniform boundedinput boundedoutput stability; 5.3.2 Relation to uniform exponential stability; 5.3.3 Timeinvariant case. 

Chapter 6: Fundamental approaches to control system analysis6.1 PMD theory of linear multivariable control systems; 6.2 Behavioral approach in systems theory; 6.3 Chainscattering representations; 6.4 Conclusions; Chapter 7: Determination of finite and infinite frequency structure of a rational matrix; 7.1 Introduction; 7.2 The Toeplitz rank information; 7.3 To determine the Smith form of a polynomial matrix; 7.4 To determine the SmithMcMillan form at infinity of a rational matrix; 7.5 To determine the SmithMcMillan form of a rational matrix; 7.6 Conclusions. 
Bibliography 
Includes bibliographical references and index. 
Note 
Online resource; title from PDF title page (ScienceDirect, viewed February 17, 2017). 
Summary 
A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in Hinfinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the Hinfinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some nonregular cases. This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory. Presents a comprehensive set of numerical procedures, algorithms, and examples on how to deal with irregular models Provides a summary on generalized framework of linear multivariable control that focuses on generalizations of models and notions Introduces a number of generalized models by using the generalized inverse of matrix. 
Subject 
H infinity symbol control.


TECHNOLOGY & ENGINEERING  Engineering (General)


H [infinity symbol] control. (OCoLC)fst00949812

Other Form: 
Print version: Tan, Liansheng. Generalized framework of linear multivariable control. ©2017 0081019467 9780081019467 (OCoLC)960901240 
ISBN 
9780081019474 (electronic bk.) 

0081019475 (electronic bk.) 

9780081019467 (print) 

0081019467 
Standard No. 
AU@ 000059703170 

AU@ 000066135177 

CHBIS 011069596 

CHNEW 001014126 

CHVBK 499790111 

GBVCP 881720127 

GBVCP 897159152 

UKMGB 018189274 
