Solving LTI descriptor (regular) differential multi-delay systems using matrix pencil theory

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In this paper, a special class of differential systems, which is known as Linear, Time Invariant (LTI) descriptor (regular) differential systems with multi delays, is analytically studied. These kinds of systems are inherent in many physical, financial, and engineering applications. Using some elements of matrix pencil theory, we decompose the main system into two subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable, and an illustrative example is presented using Matlab m-file (dde23) based on the explicit Runge-Kutta method.

Original languageEnglish
Title of host publicationCSSim 2009 - 1st International Conference on Computational Intelligence, Modelling, and Simulation
Number of pages6
Publication statusPublished - 2009
Externally publishedYes
EventInternational Conference on Computational Intelligence, Modelling and Simulation 2009 - Brno, Czechia
Duration: 7 Sept 20099 Sept 2009
Conference number: 1st (Proceedings)


ConferenceInternational Conference on Computational Intelligence, Modelling and Simulation 2009
Abbreviated titleCSSim 2009
Internet address

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