Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems

DOI10.1155/2013/535979zbMath1272.49066OpenAlexW2020808824WikidataQ58917066 ScholiaQ58917066MaRDI QIDQ370027

Emran Tohidi, Fazlollah Soleymani, Adem Kilicman

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/535979

zbMATH Keywords

optimal controlcollocation techniquestate-space analysisapproximation by monomialsuniform mesh

Mathematics Subject Classification ID

Related Items (12)

A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation ⋮ A new matrix approach for solving second-order linear matrix partial differential equations ⋮ A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis ⋮ A numerical method for solving a nonlinear 2-D optimal control problem with the classical diffusion equation ⋮ Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials ⋮ A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation ⋮ Lagrange operational matrix methods to Lane-Emden, Riccati's and Bessel's equations ⋮ Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order ⋮ An efficient pseudospectral method for solving a class of nonlinear optimal control problems ⋮ Two efficient generalized Laguerre spectral algorithms for fractional initial value problems ⋮ Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals ⋮ A Bessel collocation method for solving fractional optimal control problems

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