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The Realization Problem for Positive and Fractional Systems [electronic resource] / by Tadeusz Kaczorek, Lukasz Sajewski.

By: Kaczorek, Tadeusz [author.].
Contributor(s): Sajewski, Lukasz [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 1Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XVIII, 590 p. 37 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319048345.Subject(s): Engineering | System theory | Control engineering | Engineering | Control | Systems Theory, ControlAdditional physical formats: Printed edition:: No titleDDC classification: 629.8 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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