Abstract
A numerical method for solving time-varying bilinear singular systems is presented. The method is based upon hybrid functions approximations. The properties of hybrid functions consisting of block-pulse functions and Legendre polynomials are presented. The operational matrices of integration and product are then utilized to reduce the solution of time-varying singular bilinear systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
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