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- Title
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives.
- Authors
Zeng, Biao
- Abstract
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.
- Subjects
FEEDBACK control systems; CAPUTO fractional derivatives; EVOLUTION equations; BANACH spaces
- Publication
Evolution Equations & Control Theory, 2022, Vol 11, Issue 1, p239
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2021001