Representation of the solutions of linear discrete systems with constant coefficients and two delays
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2014-05-13
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Mark
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Hindawi
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Abstract
Cílem článku je vytvořit metodu konstrukce řešení počátečních úloh pro lineární diskrétní systémy s konstantními koeficienty a dvěma zpožděními. Řešení jsou vyjádřena pomocí speciální funkce zvané diskrétní zpožděná maticová exponenciála pro dvě zpoždění. Uvedený postup umožnil vyjádřit řešení Cauchyho počáteční úlohy v uzavřeném tvaru. Výsledky jsou ilustrovány na příkladech.
The purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.
The purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.
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Abstract and Applied Analysis. 2014, vol. 2014, issue 1, p. 1-19.
http://www.hindawi.com/journals/aaa/2014/320476/
http://www.hindawi.com/journals/aaa/2014/320476/
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en