纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2012年
3期
391-400
,共10页
时滞系统%Lyapunov-Krasovskii泛函%鲁棒稳定性%线性矩阵不等式(LMI)%反馈控制
時滯繫統%Lyapunov-Krasovskii汎函%魯棒穩定性%線性矩陣不等式(LMI)%反饋控製
시체계통%Lyapunov-Krasovskii범함%로봉은정성%선성구진불등식(LMI)%반궤공제
time-delay systems lyapunov-Krasovskii functional%robust stability%linear matrix inequality (LMI)~ feedback control
研究一类具有状态时滞和输入时滞的时变时滞线性系统.首先,通过选取合适的Lyapunov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskill稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时变时滞线性系统方面的一些结果.最后用实例验证所得到结果.
研究一類具有狀態時滯和輸入時滯的時變時滯線性繫統.首先,通過選取閤適的Lyapunov-Krasovskii汎函,應用LMI方法和Lyapunov-Krasovskill穩定性定理對時滯相關的繫統進行穩定性分析,併設計瞭相應的控製器.改進瞭時變時滯線性繫統方麵的一些結果.最後用實例驗證所得到結果.
연구일류구유상태시체화수입시체적시변시체선성계통.수선,통과선취합괄적Lyapunov-Krasovskii범함,응용LMI방법화Lyapunov-Krasovskill은정성정리대시체상관적계통진행은정성분석,병설계료상응적공제기.개진료시변시체선성계통방면적일사결과.최후용실례험증소득도결과.
This paper studies the linear system with time-varying state delays and time-varying input delays. First, it is analyzed stability of the system with time delays, by choosing a proper Lyapunov-Krasovskii func- tional, applying Linear matrix inequality （LMI）, and using Lyapunov-Krasovskii stabilization theorem. And then, it is designed corresponding controller. It is improved that some result of linear system with time-varying delays. Finally, this result is checked by the numerical simulation.
