Walsh series analysis of multi-delay systems

DOI10.1016/0016-0032(82)90087-4zbMath0495.34035OpenAlexW2008753310MaRDI QIDQ1169604

Wen-Liang Chen

Publication date: 1982

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(82)90087-4

zbMATH Keywords

approximate solutionWalsh matrixdelay operational matrixmulti-delay linear dynamic system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Dynamical systems and ergodic theory (37-XX)

Related Items (10)

The shifted Legend re approach to non-linear system analysis and identification ⋮ Analysis of time-delay systems using the Galerkin method ⋮ Shift and product Fourier matrices and linear delay-differential equations ⋮ Analysis of time-varying delay systems via general orthogonal polynomials ⋮ Analysis and parameter identification of time-delay systems via shifted Legendre polynomials ⋮ Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials ⋮ Taylor series analysis of multi-delay systems ⋮ Analysis of linear time-invariant time-delay systems via orthogonal functions ⋮ Taylor series analysis of time-varying multi-delay systems ⋮ Chebyshev series approach to system identification, analysis and optimal control

Cites Work

• Walsh series analysis in optimal control
• Explicit solution of a class of delay-differential equations
• Explicit solution to a class of neutral delay-differential equations
• Shift Walsh matrix and delay-differential equations

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