ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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Exponential Stabilization of Linear Systems with Interval Nondifferentiable Time-Varying Delays in State and Control

Автор(ы):

Mai Viet Thuan

College of Sciences,
Thainguyen university,
Thainguyen City,
Vietnam,

maithuank1@gmail.com

Nguyen Thi Thanh Huyen

College of Sciences,
Thainguyen university,
Thainguyen City,
Vietnam,

thanhhuyenhb@gmail.com

Аннотация:

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.

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