摘要
研究了具有时滞的中立型Lurie控制系统的绝对稳定性问题.通过把离散时滞区间分割成多个部分和构造适当的Lyapunov-Krasovskii泛函,分别给出系统在无限扇形角和有限扇形角内绝对稳定的时滞相关充分条件.所给的判定条件既与离散时滞相关又与中立型时滞相关,而且是线性矩阵不等式形式,可以方便地运用Matlab工具箱求解.最后数值例子说明本方法的有效性和可行性.
The absolute stability problem for neutral Lurie control systems with time delays is studied. By di- viding the discrete delay interval into multiple segments and choosing proper Lyapunov - Krasovskii functions, two delay-dependent criteria for absolute stability of systems in infinite sector and finite sector were respectively derived. The derived stability criteria were both discrete delay dependent and neutral delay dependent. The proposed condition was in terms of a linear matrix inequality which can be easily solved with Matlab toolbox. Finally, numerical example demonstrates the validity and feasibility of the proposed criteria.
出处
《郑州大学学报（工学版）》
CAS
北大核心
2013年第4期45-49,共5页
Journal of Zhengzhou University（Engineering Science）
基金
国家自然科学基金资助项目(71071133)
