A nonlinear control system with a Hilfer derivative and its optimization
Articles
Rafał Kamocki
University of Lodz
Published 2019-02-01
https://doi.org/10.15388/NA.2019.2.8
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Keywords

fractional integrals
Hilfer, Riemann–Liouville, Caputo fractional derivatives
maximum p rinciple
existence of optimal solutions

How to Cite

Kamocki, R. (2019) “A nonlinear control system with a Hilfer derivative and its optimization”, Nonlinear Analysis: Modelling and Control, 24(2), pp. 279–296. doi:10.15388/NA.2019.2.8.

Abstract

In this work, we consider a fractional optimal control problem (FOCP) containing a nonlinear control system, described by a differential equation involving a Hilfer derivative, and an integral cost functional. We study the existence and uniqueness of a solution of the control system as well as the necessary and sufficient optimality conditions of FOCP.

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