Optimal control of linear multi-delay systems based on a multi-interval decomposition scheme

DOI10.1002/oca.2163zbMath1336.49036OpenAlexW2171265162MaRDI QIDQ2800476

Hamid-Reza Marzban

Publication date: 15 April 2016

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2163

zbMATH Keywords

optimal controlChebyshev polynomialsoperational matrixblock-pulse functionsmulti-delay systemshybrid functionsmulti-interval decomposition scheme

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Decomposition methods (49M27)

Related Items

Numerical solution of piecewise constant delay systems based on a hybrid framework, A novel approach for the numerical investigation of optimal control problems containing multiple delays, A hybrid approach to parameter identification of linear delay differential equations involving multiple delays, Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems, A composite pseudospectral method for solving multi-delay optimal control problems involving piecewise constant delay functions, A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints, Optimal control of linear pantograph-type delay systems via composite Legendre method, An iterative method for suboptimal control of a class of nonlinear time-delayed systems, Hybrid functions direct approach and state feedback optimal solutions for a class of nonlinear polynomial time delay systems, Linear optimal control of time delay systems via Hermite wavelet, Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials, Exponential stability of a class of nonlinear difference equations in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems
• Optimal control of delay systems by using a hybrid functions approximation
• Solution of nonlinear delay optimal control problems using a composite pseudospectral collocation method
• Optimal control for linear systems with time delay in control input
• Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
• A method of continuous time approximation of delayed dynamical systems
• Optimal control computation for linear time-lag systems with linear terminal constraints
• Optimal control of delay systems via block pulse functions
• A Legendre-Gauss collocation method for nonlinear delay differential equations
• Dynamics of nonlinear time-delay systems.
• Ordinary and delay differential equations
• A hybrid domain analysis for systems with delays in state and control
• Solution of linear optimal control problems with time delay using a composite Chebyshev finite difference method
• OPTIMAL CONTROL METHOD WITH TIME DELAY IN CONTROL
• Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series
• Suboptimal control of linear systems with delays in state and input by orthonormal basis
• Numerical solution of time-delayed optimal control problems with terminal inequality constraints
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Optimal control of time-delay systems by dynamic programming
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• An hp‐adaptive pseudospectral method for solving optimal control problems
• Spectral Methods
• Direct method for variational problems via hybrid of block-pulse and Chebyshev functions