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Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives
Author(s) -
Biao Zeng
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021001
Subject(s) - fixed point theorem , mathematics , banach space , fractional calculus , separable space , continuation , property (philosophy) , work (physics) , fixed point , pure mathematics , feedback control , control (management) , mathematical analysis , computer science , mechanical engineering , philosophy , epistemology , engineering , programming language , control engineering , artificial intelligence
The goal of this paper is to provide systematic approaches to study the feedback control systems governed by fractional impulsive delay evolution equations involving Caputo fractional derivatives in separable reflexive Banach spaces. This work is a continuation of previous work. We firstly give an existence result of mild solutions for the equations by applying the Banach's fixed point theorem and the Leray-Schauder alternative fixed point theorem. Next, by using the Filippove theorem and the Cesari property, we obtain the existence result of feasible pairs for the feedback control system. Finally, some applications are given to illustrate our main results.

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