Numerical solutions of optimal control for linear Volterra integrodifferential systems via hybrid functions

DOI10.1016/j.jfranklin.2011.06.022zbMath1244.65249OpenAlexW2035361982MaRDI QIDQ430172

Xing Tao Wang, Yuan-Min Li

Publication date: 21 June 2012

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.06.022

zbMATH Keywords

algorithmnumerical examplesLegendre polynomialsgeneral block-pulse functionslinear Volterra integrodifferential systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items (5)

An efficient solution of Hamiltonian boundary value problems by combined Gauss pseudospectral method with differential continuation approach ⋮ Inverse optimal neural control of blood glucose level for type 1 diabetes mellitus patients ⋮ A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials ⋮ Hybrid functions approach for optimal control of systems described by integro-differential equations ⋮ Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations

Cites Work

• Unnamed Item
• A collocation method using Hermite polynomials for approximate solution of pantograph equations
• Orthogonal functions approach to optimal control of delay systems with reverse time terms
• Improved Haar and Walsh functions over triangular domains
• Numerical solving initial value problem for Fredholm type linear integro-differential equation system
• Numerical instability of deconvolution operation via block pulse functions
• Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions.
• Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions
• Numerical solution of delay systems containing inverse time by hybrid functions
• Optimal control of linear systems with delays in state and control via Walsh functions
• The Fourier series operational matrix of integration
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Shifted Legendre series solution and parameter estimation of linear delayed systems
• Laguerre series solution of a functional differential equation

This page was built for publication: Numerical solutions of optimal control for linear Volterra integrodifferential systems via hybrid functions