Fractional Optimal Control Problems with Several State and Control Variables

By Om Prakash Agrawal, Ozlem Defterli, Dumitru Băleanu. 2010

148 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0eb81d2caae18c1e3c4eec5dc98092703949d56f

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Non standard finite difference method for solving variable order fractional optimal control problems (2017, background): “Later, Coimbra (2003) introduced a formulation of a linear variable order differential operator (VODEs) for physical modeling. Recently, many authors have found that many dynamical processes exhibit fractional order behavior that may vary with time or space, such as the behavior of some diffusion pr”
Fractional order optimal control problems with free terminal time (2013, methodology): “u is piecewise continuous. When N = 0 we obtain a classical optimal control problem; the case M = 0 with ﬁxed T has already been studied for diﬀerent types of fractional order derivatives (see, e.g., [1, 3, 4, 8, 9, 22, 23]). In [10] a special type of the proposed problem is also studied for ﬁxed T.”
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints (2020, background): “We refer to [3, 4, 8, 32, 46] for previous numerical studies on fractional optimal control problems.”
An iterative approach for solving fractional optimal control problems (2018, unknown): “A general formulation for FOCPs was extended by Agrawal (2004, 2006); Agrawal et al. (2010) and Almedia and Torres (2011), where the necessary conditions of optimization are achieved for FOCPs with the Caputo and Riemann–Liouville derivatives.”
Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis (2020, methodology): “In Agrawal et al. (2010), the authors presented a method to obtain approximated solution of FOCPs in the Riemann–Liouville derivative.”
An approximate method for solving fractional optimal control problems by hybrid functions (2018, background): “A fractional optimal control problem is an optimal control problem in which the criterion or the differential equations governing the dynamics of the system display at least one fractional derivative operator (Tricaud and Chen, 2009; Agrawal et al., 2010; Defterli, 2010; Caputo and Fabrizio, 2015; G”