Walsh series expansion of composite functions and its application to linear systems

DOI10.1080/00207728208926342zbMath0475.93043OpenAlexW1967221982MaRDI QIDQ3931123

Chun-Liang Lee, Wen-Liang Chen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207728208926342

zbMATH Keywords

linear systemslinear delay systemscomposite functionsWalsh series expansion

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Control problems for functional-differential equations (34K35)

Related Items

Error analysis of block-pulse series solutions ⋮ Solution of linear two-point boundary value problems via Taylor series ⋮ Predicting the existence of limit cycles using Walsh functions: some further results ⋮ Solution of linear two-point boundary-value problems via polynomial series ⋮ Optimal control of linear distributed-parameter systems via polynomial series ⋮ Analysis of linear time-invariant time-delay systems via orthogonal functions ⋮ Chebyshev series approach to system identification, analysis and optimal control ⋮ On the nature of block-pulse operational matrices: some further results

Cites Work

• Walsh operational matrices for fractional calculus and their application to distributed systems
• Design of piecewise constant gains for optimal control via Walsh functions
• Shift Walsh matrix and delay-differential equations