Optimality conditions and a solution scheme for fractional optimal control problems

By Zoran D. Jelicic, N. Petrovacki. 2009

104 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/97a0dce8baa5a23606bdcba57d8da108c463c6db

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Citations in the corpus

Fractional order optimal control problems with free terminal time (2013, methodology): “timal solution. A handful of methods can be found in the literature to solve this problem. Nevertheless, we use approximations (1) and (2), up to order N, that have been introduced in [5] and used in [10, 21]. With our choice of approximation, the fractional problem is transformed into a classical (”
New aspects of time fractional optimal control problems within operators with nonsingular kernel (2020, methodology): “Optimality conditions for fractional variational problems have been derived in [60], while a FOCP has been investigated for a model containing integer and fractional order derivatives in [34].”
Active disturbance rejection control for nonlinear fractional‐order systems (2016, methodology): “The optimal conditions were studied in [16], and necessary conditions were supplemented in [17], described in the Riemann–Liouville sense.”
Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics (2010, background): “or Peer Rview Recently, optimal control theory has been generalized to incorporate models of fractional order [9, 10, 11, 12] and fractional calculus is penetrating other non-”
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.”
Existence of a weak solution for fractional Euler-Lagrange equations (2012, background): “-Liouville. We refer to [1, 6, 29] for more details. Let us note that a direct consequence of this work is the emergence of many studies concerning a class of fractional optimal control problems, see [2, 3, 14, 15, 20] and references therein. However, fractional diﬀerential equations are in general ”