A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems
By H. Ali, Fernando Manuel Ferreira Lobo Pereira, Sílvio M. A. Gama. 2015
66 citations recorded by the source corpus.
In this paper, we discuss a new general formulation of fractional optimal control problems whose performance index is in the fractional integral form and the dynamics are given by a set of fractional differential equations in the Caputo sense. The approach we use to prove necessary conditions of optimality in the form of Pontryagin maximum principle for fractional nonlinear optimal control problems is new in this context. Moreover, a new method based on a generalization of the Mittag–Leffler function is used to solving this class of fractional optimal control problems. A simple example is provided to illustrate the effectiveness of our main result. Copyright © 2016 John Wiley & Sons, Ltd.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/78411ac8a3a6089d782725de4cd1c3f5ca36b354
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In Applied Mathematics
In Computational Theory and Mathematics
In Modeling and Simulation
Citations in the corpus
- Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints (2020, background): “Precisely the authors of [5] consider Problem (OCP) with no Lagrange cost, an initial condition fixed to some xa ∈ R and a free final condition, that is (with our notations), F = 0, g is the identity function and C = {xa} × R.”