Solution of Multi-Delay Dynamic Systems by Using Hybrid Functions

K.  Maleknejad; R.  Ezzati; T.  Damercheli

doi:10.4236/am.2014.513194

K. Maleknejad, R. Ezzati, T. Damercheli^*

Abstract: In this paper, we present a method for finding the solution of the linear multi-delay systems (MDS) by using the hybrid of the Block-Pulse functions and the Bernoulli polynomials. In this approach, the MDS is reduced to a system of linear algebraic equations by expanding various time functions for the hybrid functions and using operational matrices. To demonstrate the validity and the applicability of the technique, some examples are presented.

Keywords: Block-Pulse Functions, Bernoulli Polynomials, Multi-Delay Systems

Cite this paper: Maleknejad, K. , Ezzati, R. and Damercheli, T. (2014) Solution of Multi-Delay Dynamic Systems by Using Hybrid Functions. Applied Mathematics, 5, 2016-2027. doi: 10.4236/am.2014.513194.

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