An explication of finite-time stability for fractional delay model with neutral impulsive conditions. (English) Zbl 1508.34099
Summary: The article deals with the analysis of finite time stability (FTS) of multi state neutral fractional order systems with impulsive perturbations and state delays. FTS studies about the trajectories of a dynamical system which converge to equilibrium state in a short period of time. Gronwall’s inequality is used as a main tool to derive the FTS conditions. The obtained theoretical results are validated with appropriate numerical simulations.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K40 | Neutral functional-differential equations |
| 34K45 | Functional-differential equations with impulses |
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K35 | Control problems for functional-differential equations |
| 93D40 | Finite-time stability |
Keywords:
fractional delay system; neutral differential system; finite-time stability; multi-state time delayReferences:
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