Numerical solution of the controlled Duffing oscillator by the pseudospectral method

DOI10.1016/0377-0427(94)90081-7zbMath0827.65074OpenAlexW1985314045MaRDI QIDQ1893560

Mohsen Razzaghi, Gamal N. Elnagar

Publication date: 11 December 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90081-7

zbMATH Keywords

comparisonnumerical resultsNewton's methodpseudospectral methodcontrolled Duffing oscillatorLegendre-Gauss- Lobatto collocation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions ⋮ The approximation of solutions for second order nonlinear oscillators using the polynomial least square method ⋮ Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method ⋮ Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method ⋮ A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method ⋮ Optimal control of a parabolic distributed parameter system via radial basis functions ⋮ Using differentiation matrices for pseudospectral method solve Duffing Oscillator ⋮ Radial basis functions approach on optimal control problems: a numerical investigation ⋮ A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems ⋮ An Efficient Legendre Pseudospectral Method for Solving Nonlinear Quasi Bang-Bang Optimal Control Problems

Cites Work

• Chebyshev series solution of the controlled Duffing oscillator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical solution of the controlled Duffing oscillator by the pseudospectral method