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

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Ivanka M. Stamova
Gani Stamov

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.

Recommended Citation

M. Bohner et al., "Impulsive Control Functional Differential Systems of Fractional Order: Stability with Respect to Manifolds," European Physical Journal: Special Topics, vol. 226, no. 16-18, pp. 3591 - 3607, Springer Verlag, Dec 2017.

The definitive version is available at https://doi.org/10.1140/epjst/e2018-00076-4

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