02828nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245012700161250001700288260005600305300004400361505054400405653003100949653001900980653002800999653001801027653002401045700003101069041001901100989003601119490004501155028003001200856007201230082001401302082000601316520116801322EB000735867EBX0100000000000000058729900000000000000.0cr|||||||||||||||||||||140303 ||| eng a97833190483451 aKaczorek, Tadeusz00aThe Realization Problem for Positive and Fractional SystemshElektronische Ressourcecby Tadeusz Kaczorek, Lukasz Sajewski a1st ed. 2014 aChambSpringer International Publishingc2014, 2014 aXVIII, 590 p. 37 illusbonline resource0 aRealization 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 aControl and Systems Theory aControl theory aSystems Theory, Control aSystem theory aControl engineering1 aSajewski, Lukasze[author]07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aStudies in Systems, Decision and Control50a10.1007/978-3-319-04834-540uhttps://doi.org/10.1007/978-3-319-04834-5?nosfx=yxVerlag3Volltext0 a6,298,3120 a3 aThis 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