Tadeusz Kaczorek (2005)
International Journal of Applied Mathematics and Computer Science
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The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
Adolf Karger (1979)
Czechoslovak Mathematical Journal
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H. M. Srivastava (1973)
Collectanea Mathematica
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S. A. Mazanik (1991)
Archivum Mathematicum
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Josef Matušů (1991)
Applications of Mathematics
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The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
Mohamed Boudellioua (2007)
International Journal of Applied Mathematics and Computer Science
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A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant...
Tadeusz Kaczorek (2007)
International Journal of Applied Mathematics and Computer Science
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A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.