Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

Abstract EN

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated.

By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived.

The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances.

Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.