Finite-time stabilization of time-delay systems with nonlinear perturbation

This paper deals with the problem finite time stability and stabilization of time-delay systems with nonlinear perturbation. Nonlinearities are assumed to satisfy the Lipschitz condition that the value of the function at zero cannot be zero. Sufficient conditions are suggested to guarantee the finite-time stability and stabilization of time-delay systems using the Lyapunov technique. These conditions are derived in terms of a set of linear matrix inequalities and are delay-dependent. A numerical example is given to show the effectiveness of the propounded theories.

Keywords:

Finite-time stabilization , time-delay , nonlinear perturbation , LMI