A recursive-operational approach with applications to linear differential systems

• Autorzy: Bengochea G. , Ortigueira M.

Identyfikatory

DOI

10.1515/jaa-2016-0014

• Języki publikacji: EN

Abstrakty

EN

In this paper, an operational method for solving linear and nonlinear systems described by ordinary differential equations is presented. The construction is based on the generalized derivative in the sense of distribution theory. The approach allows the response computation without needing the use of any integral transform as in the Mikusiński operational calculus. A general description of the algorithm is done and some illustrating examples are presented. The algorithm is recursive allowing to add and remove any pole or zero contribution. The extension to nonlinear systems is done by means of the Adomian polynomials.

Słowa kluczowe

EN

operational calculus; linear systems; nonlinear systems

PL

rachunek operatorowy; układy liniowe; układy nieliniowe

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2016
• Tom: Vol. 22, nr 2
• Strony: 131--139
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Bengochea G.

• Universidad Autónoma de la Ciudad de México, Ciudad de México, Mexico

autor

Ortigueira M.

• CTS-UNINOVA and Department of Electrical Engineering, Faculty of Sciences and Technology, Universidade Nova de Lisboa, Monte da Caparica, Portugal

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.