Mai Viet Thuan
College of Sciences,
Thainguyen university,
Thainguyen City,
Vietnam,
Nguyen Thi Thanh Huyen
College of Sciences,
Thainguyen university,
Thainguyen City,
Vietnam,
This paper presents new exponentially stabilization conditions for a class of linear systems with time-varying delays in state and control. The time-delays function is assumed to be continuously belonging to a given interval in which the lower bound of delay is not restricted to zero. New delay-dependent, based on the constructing of improved Lyapunov-Krasovskii functionals combined with Leibniz-Newton's formula, sufficient conditions for the exponential stabilization via memoryless control are established in terms of LMIs. That allows us to compute simultaneously the two bounds that characterize exponential stability of the solution. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.