Application of general discrete orthogonal polynomials to optimal-control systems

DOI10.1080/00207178608933545zbMath0581.93047OpenAlexW2019983817MaRDI QIDQ3705314

Yuh-Feng Tsay, Tsu-Tian Lee

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933545

zbMATH Keywords

digital systemsdiscrete Euler-Lagrange equationsgeneral discrete orthogonal polynomials

Mathematics Subject Classification ID

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 (8)

Spectral methods for the solution of linear descriptor systems using Fourier functions ⋮ Optimal control of linear time-varying discrete systems via discrete Legendre orthogonal polynomials ⋮ On the optimal control of linear discrete-time systems via discrete orthogonal functions ⋮ Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions ⋮ Parallel model order reduction methods based on structured matrix analysis for discrete-time systems with parametric uncertainty ⋮ Analysis of time-varying discrete systems using discrete Legendre orthogonal polynomials ⋮ Model reduction on 2-D systems via orthogonal series ⋮ Time domain and frequency domain model order reduction for discrete time-delay systems

Cites Work

• Model Reduction Via Laguerre Polynomial Technique
• Laguerre z-transfer function representation of linear discrete-time systems
• Model reduction of discrete systems via discrete Chebyshev polynomials
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Discrete (Legendre) orthogonal polynomials-a survey

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