Abstract

A method for finding an approximate solution of a multi-delay system with time-varying coefficients is proposed. The method is based upon expanding various time functions in the system as their truncated Taylor series, using the operational matrices for integration and delay and hence reducing the system into a set of algebraic simultaneous equations. The properties of Taylor series are first briefly reviewed and associated operational matrices are utilized to solve multi-delay systems. The method is computationally very attractive and applications are demonstrated through illustrative examples.

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