Nonlinear fractional optimal control problems with neural network and dynamic optimization schemes

DOI10.1007/s11071-017-3616-9zbMath1377.93078OpenAlexW2637440329MaRDI QIDQ1687350

Alireza Nazemi, Soleiman Hosseinpour, Safiye Ghasemi

Publication date: 29 December 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3616-9

zbMATH Keywords

stabilityunconstrained optimizationconvergenceartificial neural networksPontryagin's minimum principlefractional optimal control problemGrunwald-Letnikov operators

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear systems in control theory (93C10) Fractional ordinary differential equations (34A08)

Related Items (5)

Müntz-Legendre neural network construction for solving delay optimal control problems of fractional order with equality and inequality constraints ⋮ Neural adaptive dynamic surface control for uncertain strict-feedback nonlinear systems with nonlinear output and virtual feedback errors ⋮ An application of a fuzzy system for solving time delay fractional optimal control problems with Atangana–Baleanu derivative ⋮ Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method ⋮ Fractional optimal control problems with time-varying delay: a new delay fractional Euler-Lagrange equations

Cites Work

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• Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
• Dynamics and trajectory tracking control of cooperative multiple mobile cranes
• Fractional order optimal control problems with free terminal time
• Solving a class of geometric programming problems by an efficient dynamic model
• A capable neural network model for solving the maximum flow problem
• Neural networks for solving second-order cone constrained variational inequality problem
• A dynamic system model for solving convex nonlinear optimization problems
• Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
• A dynamical model for solving degenerate quadratic minimax problems with constraints
• Numerical solution of the nonlinear Schrödinger equation by feedforward neural networks
• Numerical solution for high order differential equations using a hybrid neural network-optimization method
• Neural networks: computational models and applications.
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Neural networks in optimization
• Multilayer feedforward networks are universal approximators
• The necessary conditions of fractional optimal control in the sense of Caputo
• An efficient approximate method for solving delay fractional optimal control problems
• Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey
• Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule
• Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
• A general formulation and solution scheme for fractional optimal control problems
• Solution of generalized matrix Riccati differential equation for indefinite stochastic linear quadratic singular system using neural networks
• The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems
• Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
• A Formulation and Numerical Scheme for Fractional Optimal Control Problems
• Numerical approximations of fractional derivatives with applications
• Feedforward Neural Network Methodology
• Solving fractional optimal control problems with fixed or free final states by Haar wavelet collocation method
• Neural Networks
• Nonlinear Programming
• Principles of Artificial Neural Networks
• Approximation by superpositions of a sigmoidal function

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