New exponential stability criteria for neutral system with time-varying delay and nonlinear perturbations

Advances in Difference Equations

Yuechao Ma¹  Lihong Zhu¹ 

[1] College of Science, Yanshan University, Haigang District, Qinhuangdao, P.R. China

关键词: neutral system;    nonlinear perturbations;    exponential stability;    linear matrix inequality;   

DOI  :  10.1186/1687-1847-2014-44

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the problem of exponential stability for neutral system with time-varying delay and nonlinear perturbations is investigated. By using the technology of model transformations, based on a linear matrix inequality (LMI) and a generalized Lyapunov-Krasovskii function, a new criterion for exponential stability with delay dependence is obtained. Due to a new integral inequality, the result is less conservative. Finally, some numerical examples are presented to illustrate the effectiveness of the method.

【 授权许可】

CC BY