Impulsive Control Functional Differential Systems of Fractional Order: Stability with Respect to Manifolds
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.
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
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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01 Dec 2017