Analysis of systems with multiple time-varying delays via generalized block pulse functions

DOI10.1080/00207728708963987zbMath0611.93032OpenAlexW2114391182MaRDI QIDQ3752245

Rongyeu Chang, Shwuyien Yang, Mawling Wang

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207728708963987

zbMATH Keywords

algorithmmultiple time-varying delaysgeneralized block pulse function

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 problems for functional-differential equations (34K35) Classical operational calculus (44A45)

Related Items (2)

Determinant and statistical analysis of linear time-varying systems via block-pulse functions ⋮ Analysis of linear time-invariant time-delay systems via orthogonal functions

Cites Work

• Optimal control of delay systems via block pulse functions
• A general procedure of solving the linear delay system via block pulse functions
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Minimum energy control of time-delay systems via walsh functions
• Solution of functional differential equations via generalized block pulse functions
• Generalized block-pulse operational matrices and their applications to operational calculus
• A state-space approach to Walsh series solution of linear systems
• Shift Walsh matrix and delay-differential equations

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