A cell-averaging Chebyshev spectral method for the controlled Duffing oscillator

DOI10.1016/0168-9274(95)00075-6zbMath0840.65060OpenAlexW2085518387MaRDI QIDQ1904025

Mohammad A. Kazemi, Gamal N. Elnagar

Publication date: 1 February 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00075-6

zbMATH Keywords

nonlinear programmingnonlinear optimal control problemscell-averaging Chebyshev spectral methodcontrolled Duffing oscillator problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (1)

Numerical solution of time-delayed functional differential equation control systems

Uses Software

• simannf90

Cites Work

• Chebyshev series solution of the controlled Duffing oscillator
• Cell averaging Chebyshev methods for hyperbolic problems
• A study of mathematical programmingmethods for structural optimization. Part II: Numerical results
• Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm—Corrigenda for this article is available here
• An efficient method for finding the minimum of a function of several variables without calculating derivatives
• A Simplex Method for Function Minimization
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