Optimal control of Volterra integral equations via triangular functions

DOI10.1016/j.mcm.2011.01.017zbMath1219.49026OpenAlexW2039363076MaRDI QIDQ636476

H. Almasieh, Khosrow Maleknejad

Publication date: 28 August 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.017

zbMATH Keywords

optimal controlVolterra integral equationstriangular functions

Mathematics Subject Classification ID

Volterra integral equations (45D05) Discrete approximations in optimal control (49M25)

Related Items (14)

A directed tabu search method for solving controlled Volterra integral equations ⋮ Numerical solution of multi-order fractional differential equations using generalized triangular function operational matrices ⋮ Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems ⋮ A Numerical Method For Solving Fractional Optimal Control Problems Using The Operational Matrix Of Mott Polynomials ⋮ A collocation method using generalized Laguerre polynomials for solving nonlinear optimal control problems governed by integro-differential equations ⋮ Feedback Volterra control of integro-differential equations ⋮ National economies in state-space of fractional-order financial system ⋮ Unnamed Item ⋮ Delta basis functions and their applications to systems of integral equations ⋮ Unnamed Item ⋮ Efficient reconstructed Legendre algorithm for solving linear-quadratic optimal control problems ⋮ Efficient Chebyshev collocation methods for solving optimal control problems governed by Volterra integral equations ⋮ Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations ⋮ A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations

Cites Work

• Unnamed Item
• Using direct method for solving variational problems via triangular orthogonal functions
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• Optimal processes governed by integral equations
• A new computational method for Volterra-Fredholm integral equations
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• A new method for optimal control of Volterra integral equations
• A reduction method for optimal control of Volterra integral equations
• Analysis and optimal control of time-varying systems via generalized orthogonal polynomials
• Analysis and optimal control of time-varying linear systems via Walsh functions
• Optimal Control of Processes Described by Integral Equations, III
• Comments on the Paper “Optimal Control of Processes Described by Integral Equations. I” by V. R. Vinokurov

This page was built for publication: Optimal control of Volterra integral equations via triangular functions