State analysis of singular time-varying bilinear systems using non-recursive Haar wavelet operational approach

In this paper, Haar wavelets elemental properties and a special non-recursive integral and connection coefficients operational matrices are fully applied for State analysis of singular time-varying bilinear systems to shorten the calculation process such that these systems can be solved easily. Computationally efficient algorithms are shown to be achieved by these modification vis-à-vis corresponding recursive formulations. A brief comparison has been given between Haar wavelet recursive and non-recursive formulations. Results are computed and verified via MATLAB PROFILER at different resolutions. The method is more convenient to implement for evaluation of exact and accurate results.