A nonlinear control system with a Hilfer derivative and its optimization

Nonlinear Analysis

Rafał Kamocki¹ 

[1] University of Lodz;

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

DOI  :  10.15388/NA.2019.2.8

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown