The realization problem for positive and fractional systems
By: Tadeusz Kaczorek, Łukasz Sajewski
Series: Studies in systems, decision and control -- v. 1; Studies in systems, decision and control -- v. 1.
Publisher: Springer
Published: 2014
Place of publication: Cham; New York
Language: eng
Number of pages: 589
ISBN-13: 9783319048338; 9783319048345
Copyright date: 2014
Subjects: Mathematical models; Positive systems; Linear systems
Description: This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. Roughly speaking the essence of the realization problem can be stated as follows: Find the matrices of the state space equations of linear systems for given their transfer matrices. This first book on this topic shows how many well-known classical approaches have been extended to the new classes of positive and fractional linear systems. The modified Gilbert method for multi-input multi-output linear systems, the method for determination of realizations in the controller canonical forms and in observer canonical forms are presented. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed. The book also presents a method for the determination of minimal realizations of descriptor linear systems and an extension for cone linear systems. This monographs summarizes recent original investigations of the authors in the new field of the positive and fractional linear systems. --
Notes: Includes bibliographical references (pages 573-585) and index.
Table of contents: title: Realization problem of 1D standard linear systems; title: Realization problem of 1D positive regular linear systems; title: Realization problem of 1D positive regular linear systems with delays; title: Positive stable realization problem for 1D regular linear systems; title: Positive realization problem of 1D descriptor linear systems; title: Positive realization problem for 1D regular fractional linear systems; title: Positive realization problem for 1D descriptor fractional linear systems; title: Positive realization problem for 2D continuous-discrete linear systems.