Title

Impulsive Control Functional Differential Systems of Fractional Order: Stability with Respect to Manifolds

Abstract

In this paper, we consider nonlinear impulsive functional differential systems involving Caputo fractional derivatives. Using vector multivariable piecewise continuous Lyapunov functions and a new vector fractional comparison principle, stability criteria with respect to a manifold are established. Some examples are presented in order to illustrate our theoretical findings.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1951-6355; 1951-6401

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 EDP Sciences, Springer Verlag, All rights reserved.

Publication Date

01 Dec 2017

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