Finite-time stability of impulsive fractional-order systems with time-delay. (English) Zbl 1459.34020
Summary: In this paper, a class of impulsive fractional-order systems with time-delay is investigated. Sufficient conditions for the finite-time stability (FTS) of impulsive fractional-order systems with time-delay are established by the generalized Gronwall’s inequality. It shows that the FTS of such systems depends on the frequency and amplitude of the impulses. Examples are given to illustrate the results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K45 | Functional-differential equations with impulses |
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