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.
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
