Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection

Abstract EN

We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection.

Time-delay functions are continuous but not necessarily differentiable.

Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived.

The finite-time stability criteria are delays-dependent and are given in terms of linear matrix inequalities which can be solved by various available algorithms.

Numerical examples are given to illustrate effectiveness of the proposed method.