Displaying similar documents to “Generalized Bezoutian for a periodic collection of rational matrices”

Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations

Alexander Fischer (2004)

Applications of Mathematics

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The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions...

Periodic systems largely system equivalent to periodic discrete-time processes

Osvaldo Maria Grasselli, Sauro Longhi, Antonio Tornambè (2001)

Kybernetika

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In this paper, the problem of obtaining a periodic model in state-space form of a linear process that can be modeled by linear difference equations with periodic coefficients is considered. Such a problem was already studied and solved in [r71] on the basis of the notion of system equivalence, but under the assumption that the process has no null characteristic multiplier. In this paper such an assumption is removed in order to generalize the results in [r71] to linear periodic processes...

Balanced reduction of linear periodic systems

Sauro Longhi, Giuseppe Orlando (1999)

Kybernetika

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For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.