Double-shifted Chebyshev series for convolution integral and integral equations

DOI10.1080/00207178508933358zbMath0566.93029OpenAlexW1967763136MaRDI QIDQ3682329

Jyh-Horng Chou, Ing-Rong Horng

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207178508933358

zbMATH Keywords

computational complexityFredholm integral equationVolterra integral equationconvolution integralDouble-shifted Chebyshev polynomials

Mathematics Subject Classification ID

Related Items (12)

A Rationalized Haar Functions Method for Nonlinear Fredholm-hammerstein Integral Equations ⋮ Application of general orthogonal polynomials to the optimal control of time-varying linear systems ⋮ Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions ⋮ Solutions of convolution integral and Fredholm integral equations via double Fourier series ⋮ Double generalized orthogonal polynomial series for the solution of integral equations ⋮ Solutions of convolution integral and integral equations via double general orthogonal polynomials ⋮ Solutions of integral equations via L ₁-approximations ⋮ Orthogonal series approach to the sensitivity analysis of linear systems ⋮ Solutions of integral equations via Taylor series ⋮ Robust-optimal Active Vibration Controllers Design of Flexible Mechanical Systems via Orthogonal Function Approach and Genetic Algorithm ⋮ Single-term Walsh series method for the Volterra integro-differential equations ⋮ A new computational method for solution of non-linear Volterra–Fredholm integro-differential equations

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
• Solving integral equations via Walsh functions
• Solution of integral equations via Laguerre polynomials
• Solution of integral equations using a set of block pulse functions
• Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions
• The design of optimal observers via shifted Chebyshev polynomials
• Application of Chebyshev polynomials to the optimal control of time-varying linear systems
• Design of piecewise constant gains for optimal control via Walsh functions

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