Novel delay-dependent exponential stabilization criteria of a nonlinear system with mixed time-varying delays via hybrid intermittent feedback control

Advances in Difference Equations

Patarawadee Prasertsang¹  Thongchai Botmart² 

[1] Department of General Science, Kasetsart University, Sakon Nakhon, Thailand;Department of Mathematics, Khon kaen University, Khon kaen, Thailand

关键词: exponential stabilization;    nonlinear system;    mixed time-varying delays;    hybrid intermittent feedback control;   

DOI  :  10.1186/s13662-017-1255-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the problem of exponential stabilization criteria for a nonlinear system with mixed time-varying delays, including discrete interval and distributed time-varying delays. The time-varying delays are not necessarily differentiable. The exponential stabilization criteria of the nonlinear system are proposed via hybrid intermittent feedback control. Based on the improved Lyapunov-Krasovskii functionals with Leibniz-Newton’s formula, Jensen’s inequality and the reciprocal convex combination technique, the novel delay-dependent sufficient condition is derived in terms of linear matrix inequalities (LMIs). The obtained LMIs can be efficiently solved by standard convex optimization algorithms. A numerical example is given to demonstrate the effectiveness of the obtained result. Moreover, the results in this article generalize and improve the corresponding results of the recent works.

【 授权许可】

CC BY