The Realization Problem For Positive And Fractional Systems (studies In Systems, Decision And Control)
by Tadeusz Kaczorek /
2014 / English / PDF
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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.
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.
