Analysis and identification of discrete-time systems via discrete Legendre orthogonal polynomials

DOI10.1080/00207728708967121zbMath0622.93043OpenAlexW2030335057MaRDI QIDQ3760384

Kuo-Kai Shyu, Hwang, Chyi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207728708967121

zbMATH Keywords

time-invariantlinear time-invariant discrete-time systemsanalysis and identificationdiscrete Legendre orthogonal polynomials

Mathematics Subject Classification ID

System identification (93B30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete operational calculus (44A55)

Related Items (2)

Orthogonal functions approach to the analysis of discrete-time systems is unnecessary ⋮ Analysis of time-varying discrete systems using discrete Legendre orthogonal polynomials

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• Solution and identification of discrete state-space equations via Walsh functions
• Analysis and parameter identification of time-delay systems via shifted Legendre polynomials
• Laguerre operational matrices for fractional calculus and applications
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations
• Discrete (Legendre) orthogonal polynomials-a survey
• Design of piecewise constant gains for optimal control via Walsh functions

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