Nonlinear fractional optimal control problems with neural network and dynamic optimization schemes
type: Item
instance of: scholarly article
title: Nonlinear fractional optimal control problems with neural network and dynamic optimization schemes
zbMATH Open document ID: 1377.93078
author: Safiye Ghasemi
author: Alireza Nazemi
author: Soleiman Hosseinpour
published in: Nonlinear Dynamics
publication date: 2017-12-29T00:00:00Z
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6821329
zbMATH Keywords: Pontryagin's minimum principle
zbMATH Keywords: fractional optimal control problem
zbMATH Keywords: Grunwald-Letnikov operators
zbMATH Keywords: artificial neural networks
zbMATH Keywords: unconstrained optimization
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s11071-017-3616-9
OpenAlex ID: W2637440329
cites work: A general formulation and solution scheme for fractional optimal control problems
cites work: Numerical approximations of fractional derivatives with applications
cites work: The necessary conditions of fractional optimal control in the sense of Caputo
cites work: Fractional order optimal control problems with free terminal time
cites work: Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
cites work: An efficient approximate method for solving delay fractional optimal control problems
cites work: The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems
cites work: 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
cites work: Solving fractional optimal control problems with fixed or free final states by Haar wavelet collocation method
cites work: Q4023802
cites work: A Formulation and Numerical Scheme for Fractional Optimal Control Problems
cites work: Dynamics and trajectory tracking control of cooperative multiple mobile cranes
cites work: Q4001920
cites work: Principles of Artificial Neural Networks
cites work: Neural networks: computational models and applications.
cites work: Neural Networks
cites work: Feedforward Neural Network Methodology
cites work: Q4398829
cites work: Q4001815
cites work: Numerical solution for high order differential equations using a hybrid neural network-optimization method
cites work: Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
cites work: Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey
cites work: Numerical solution of the nonlinear Schrödinger equation by feedforward neural networks
cites work: Solution of generalized matrix Riccati differential equation for indefinite stochastic linear quadratic singular system using neural networks
cites work: Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
cites work: Q3602046
cites work: A dynamical model for solving degenerate quadratic minimax problems with constraints
cites work: A dynamic system model for solving convex nonlinear optimization problems
cites work: A capable neural network model for solving the maximum flow problem
cites work: Solving a class of geometric programming problems by an efficient dynamic model
cites work: Q5699297
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Approximation by superpositions of a sigmoidal function
cites work: Multilayer feedforward networks are universal approximators
cites work: Nonlinear Programming
cites work: Neural networks in optimization
cites work: Q5491447
cites work: Q3345088
cites work: Neural networks for solving second-order cone constrained variational inequality problem
cites work: Q5580482
cites work: Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
DOI: 10.1007/S11071-017-3616-9
description: scientific article; zbMATH DE number 6821329