Numerical solution of time-delayed functional differential equation control systems

DOI10.1016/S0377-0427(99)00390-8zbMath1010.65029WikidataQ115338966 ScholiaQ115338966MaRDI QIDQ5937179

Gamal N. Elnagar, Mohammad A. Kazemi

Publication date: 12 July 2001

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

zbMATH Keywords

algorithmsnonlinear programmingChebyshev spectral methoddelay free optimal control problempseudospectral approximationtime-delayed functional differential equation control systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

An efficient discretization scheme for solving nonlinear optimal control problems with multiple time delays ⋮ Müntz-Legendre neural network construction for solving delay optimal control problems of fractional order with equality and inequality constraints ⋮ Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems ⋮ Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach ⋮ An iterative symplectic pseudospectral method to solve nonlinear state-delayed optimal control problems ⋮ Optimization of Functional Integral Equations: A Spectral Approach ⋮ A composite pseudospectral method for solving multi-delay optimal control problems involving piecewise constant delay functions ⋮ An iterative method for suboptimal control of a class of nonlinear time-delayed systems

Uses Software

• NLPQL

Cites Work

• Unnamed Item
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• Cell averaging Chebyshev methods for hyperbolic problems
• Approximation of nonlinear functional differential equation control systems
• A cell-averaging Chebyshev spectral method for the controlled Duffing oscillator
• A pseudospectral method for Hammerstein equations
• A cell-averaging chebyshev spectral method for nonlinear fredholm-hammerstein integral equations
• Numerical solution of time-delayed optimal control problems with terminal inequality constraints
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Optimal control computation for integro-differential aerodynamic equations
• Legendre–Tau Approximations for Functional-Differential Equations
• Parameter Estimation and Identification for Systems with Delays

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