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The realization problem for positive and fractional systems

Autor: T Kaczorek; Lukasz Sajewski
Editora: Cham, Switzerland : Springer, 2014.
Séries: Studies in systems, decision and control, 1.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Formato Físico Adicional: Print version:
Kaczorek, Tadeusz.
Realization problem for positive and fractional systems.
[S.l.] : Springer, 2014
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: T Kaczorek; Lukasz Sajewski
ISBN: 9783319048345 3319048341
Número OCLC: 870410068
Descrição: 1 online resource.
Conteúdos: Realization problem of 1D standard linear systems --
Realization problem of 1D positive regular linear systems --
Realization problem of 1D positive regular linear systems with delays --
Positive stable realization problem for 1D regular linear systems --
Positive realization problem of 1D descriptor linear systems --
Positive realization problem for 1D regular fractional linear systems --
Positive realization problem for 1D descriptor fractional linear systems --
Positive realization problem for 2D continuous-discrete linear systems.
Título da Série: Studies in systems, decision and control, 1.
Responsabilidade: Tadeusz Kaczorek and Lukasz Sajewski.

Resumo:

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.

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From the book reviews: "The problems and facts of interest are presented in a very well organized manner and the usual roughness of some technical aspects is avoided by treating them in a natural Ler mais...

 
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