Analysis of bilinear systems using Walsh functions

DOI10.1109/9.45160zbMath0708.93039OpenAlexW2132362490MaRDI QIDQ3491412

Manolis A. Christodoulou, Vassilis G. Mertzios, Frank L. Lewis, George Vachtsevanos

Publication date: 1990

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/9.45160

zbMATH Keywords

Walsh functionsbilinear systemsbutterfly networktime-invariantWalsh approximating series

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Control/observation systems governed by ordinary differential equations (93C15) Approximation by other special function classes (41A30)

Related Items (7)

Walsh function analysis of linear and bilinear discrete time systems ⋮ On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\) ⋮ On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations ⋮ Preconditioned Positive-Definite and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations AX + XB = C ⋮ A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations ⋮ A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation ⋮ Identification of nonlinear systems via piecewise general orthogonal polynomials operator

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