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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 of a class of neutral systems with interval time-varying delay is investigated. The model includes two parts, linear and nonlinear. The nonlinear term satisfies given constraints and can be used as a perturbation to the system. By introducing some useful tunable parameters, the improved Lyapunov-Krasovskii functional is introduced, and a few tools such as the definition of free-weight matrix and convex set are introduced to effectively estimate the upper bounds of the derivatives of the derivatives and establish asymptotic stability based on the linear matrix inequality (LMI) The results of several comparisons show that the conclusion of this paper is less conservative.