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Analysis of time-varying singular systems via single-term Walsh-series approach. (English) Zbl 0671.93039

Summary: A new method of analysis for linear time-varying singular differential equations of the form \(K(t)\dot x(t)=A(t)x(t)+B(t)u(t)\) has been proposed. The method is verified by an illustrative example.

MSC:

93C99 Model systems in control theory
34A99 General theory for ordinary differential equations
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
93C05 Linear systems in control theory

Keywords:

time-dependent
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