Walsh series solution of second-order state-space systems

DOI10.1080/00207728508926700zbMath0567.93031OpenAlexW2073886287MaRDI QIDQ3683987

M. C. Srisailam, A. Y. Sivaramakrishnan

Publication date: 1985

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728508926700

zbMATH Keywords

Walsh seriestime responsessecond-order state-space

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Control/observation systems governed by ordinary differential equations (93C15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Analysis of vibrating systems via single-term Walsh series approach

Cites Work

• Walsh operational matrices for fractional calculus and their application to distributed systems
• Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems
• Design of piecewise constant gains for optimal control via Walsh functions