带有非线性扰动的时变时滞系统的稳定性准则OA北大核心CSCDCSTPCD
Stability criteria for time-varying delay systems with nonlinear perturbations
研究了带有非线性扰动的时变时滞系统的稳定性问题.基于时滞分割方法,提出了保守性更小的系统稳定性分析准则.利用一个自由参数将时滞区间分割为2个子区间,进而构造了含有时滞分割点状态信息和3重积分项的Lyapunov-Krasovskii泛函,并采用自由矩阵积分不等式界定泛函导数中的交叉项.基于Lyapunov稳定性定理,得到了以线性矩阵不等式描述的时滞相关型稳定性准则.数值算例表明该稳定性准则能够得到更大的时滞上界,与已有结果相比具有更小的保守性.
The stability problem of systems with time-varying delay and nonlinear perturbations is researched. Based on delay decomposition approach, a less conservative stability criterion is proposed. The delay interval is divided into two subintervals by a free parameter. Then, an appropriate Lyapunov-Krasovskii functional (LKF) containing state information of the partition point and some triple-integral terms is constructed. Cross-terms in the time derivative of LK…查看全部>>
武斌;王长龙;徐锦法;胡永江
军械工程学院无人机工程系,河北石家庄050003军械工程学院无人机工程系,河北石家庄050003南京航空航天大学直升机旋翼动力学国家级重点实验室,江苏南京210016军械工程学院无人机工程系,河北石家庄050003
信息技术与安全科学
区间时变时滞稳定性准则Lyapunov-Krasovskii泛函时滞分割
interval time-varying delaystability criterionLyapunov-Krasovskii functionaldelay decomposition
《控制理论与应用》 2017 (5)
692-700,9
河北省自然科学基金项目(2015506004)资助. Supported by National Natural Science Foundation of Hebei Province (2015506004).
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