Stability analysis for uncertain neutral-type stochastic nonlinear systems with mixed time-varying delays

被引：0
作者：
Tengyu Ma
Longsuo Li
机构：
[1] Harbin Institute of Technology,Department of Mathematics
[2] Qiqihar University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Uncertainty; Neutral-type stochastic systems; Mixed time-varying delays; Linear matrix inequality;
D O I：
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摘要：
This study investigates the robust stability problem in the presence of uncertain parameters for a class of stochastic neutral-type systems with mixed time-varying delays, where external disturbance and nonlinearity are considered together. The nonlinear function is assumed to satisfy the one-sided Lipschitz condition and the quadratic inner-boundedness condition. By constructing a modified Lyapunov–Krasovskii functional and using the free-weighting matrix technique, some new delay-dependent criteria for the stability of the problem are presented. In particular, the derivatives of the time-varying delays are no longer limited to being less than one. Finally, numerical examples are given to illustrate the effectiveness of the derived results.
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