Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Modeling and Simulation
Reference32 articles.
1. Y.-K. Chang, J. J. Nieto, Z.-H. Zhao.Existence results for a nondensely-defined impulsive neutral differential equation with state-dependent delay, Nonlinear Anal.: Hybrid Systems, 4 (2010), 593-599.
2. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
3. Z. Denkowski, S. Migórski and N. S. Papageorgiou, An Introduction to Nonlinear Analysis: Theory, Kluwer Academic/Plenum Publishers, Boston, Dordrecht, London, New York, 2003.
4. G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, Addison-Weslwey, 1986.
5. A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2003.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献