Non-Lyapunov Stability of the Fractional-Order

Time-Varying Delay Systems

 

Mirko Mišljen

Mihailo Lazarević

 

In this paper, the finite-time stability criteria are extended to nonlinear nonhomogeneous perturbed fractional-order systems including multiple time-varying delays. The sufficient conditions of a stability for the fractional systems with multiple time delays are obtained by using the generalized and classical Gronwall’s approach. A numerical example is presented to illustrate the validity of the obtained result.

 

Key words: continuous system, nonlinear system, time-delay system, time delay, system stability, non-Lyapunov stability, finite-time stability, fractional order system.