Analysis of bilinear systems using Walsh functions

By using Walsh functions to analyze bilinear systems, it is shown that the nonlinear differential system equation can be converted to a linear algebraic generalized Lyapunov equation that can be solved for the coefficients of the state x(t) in terms of the Walsh basis functions. This Lyapunov equation provides an approximate closed-form solution for a bilinear system. Some guidelines are given for selecting the number of terms in the Walsh approximating series.<
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