非线性扰动下时延中立型系统的渐近稳定性准则

Research on Asymptotic Stability for Delayed Neutral Systems with Nonlinear Disturbance

研究一类具有区间时变时延中立型系统的渐近稳定性,模型同时包含线性与非线性两部分,其中非线性项满足给定的限制条件,分析时可作为系统扰动处理。通过引入一些有用的可调参数,利用改进的Lyapunov-Krasovskii泛函,并引入少量自由权矩阵与凸集定义等工具,有效估计其导函数上界,基于线性矩阵不等式(LMI)建立渐近稳定性准则,数例比较结果表明本文结论具有较小的保守性。

The asymptotic stability for a class of time-delay neutral systems has been studied, in which the model includes both linear part and nonlinear one. The nonlinear part satisfies some given restricted conditions and can be retreated as system disturbances. Through using some useful tuning parameters and constructing one improved Lyapunov-Krasovskii function, few free-weighting matrices are introduced and the combined convex technique is used to effectively estimate the derivative of Lyapunov-Krasovskii functional. One novel asymptotic stability criterion will be presented in terms of linear matrix inequalities （LMIs）, which can be less conservative compared with some present ones.