New finite-time stability for fractional-order time-varying time-delay linear systems: a Lyapunov approach. (English) Zbl 1496.93106
Summary: The primary goal of this paper is to examine the finite-time stability and finite-time contractive stability of the linear systems in fractional domain with time-varying delays. We develop some sufficient criteria for finite-time contractive stability and finite-time stability utilizing fractional-order Lyapunov-Razumikhin technique. To validate the proposed conditions, two different types of dynamical systems are taken into account, one is general time-delay fractional-order system and another one is fractional-order linear time-varying time-delay system, furthermore the efficacy of the stability conditions is demonstrated numerically.
MSC:
| 93D40 | Finite-time stability |
| 93C05 | Linear systems in control theory |
| 93C43 | Delay control/observation systems |
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