Piecewise Chebyshev cardinal functions: application for constrained fractional optimal control problems

DOI10.1016/j.chaos.2021.111118zbMath1498.49011OpenAlexW3175290583MaRDI QIDQ2145460

Mohsen Razzaghi, Mohammad Heydari

Publication date: 17 June 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111118

zbMATH Keywords

fractional optimal control problemsfractional integral operational matrixpiecewise Chebyshev cardinal function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Decomposition methods (49M27) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (12)

Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems ⋮ A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative ⋮ Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation ⋮ Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method ⋮ Third‐kind Chebyshev cardinal functions for variable‐order time fractional RLW‐Burgers equation ⋮ Dynamical analysis of fractional oscillator system with cosine excitation utilizing the average method ⋮ A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative ⋮ Unnamed Item ⋮ A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation ⋮ Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation ⋮ Fault-tolerant adaptive fractional controller design for incommensurate fractional-order nonlinear dynamic systems subject to input and output restrictions ⋮ A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems

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