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Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems
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作者 Hui Liu Yucai Ding 《Applied Mathematics》 2016年第10期1124-1133,共10页
In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its ... In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches. 展开更多
关键词 Differential-Algebraic Systems Stability Analysis Lyapunov-Krasovskii Functional delay partitioning Approach Linear Matrix Inequality (LMI)
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Further control synthesis for time-delay systems with actuator saturation 被引量:1
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作者 Mao WANG Yue GU Xianwei LI 《控制理论与应用(英文版)》 EI CSCD 2013年第1期128-131,共4页
This paper is concerned with the control synthesis problem for systems with time-varying delay and actuator saturation. A new controller design method is proposed in which auxiliary feedback matrix method is adopted t... This paper is concerned with the control synthesis problem for systems with time-varying delay and actuator saturation. A new controller design method is proposed in which auxiliary feedback matrix method is adopted to handle the saturation term in the system. The improvement of the proposed method lies in the application of delay partitioning idea to further enlarge the estimated domain of attraction. All the results are given in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness and superiority of our obtained results. 展开更多
关键词 Time-delay systems Actuator saturation Attraction domain delay partitioning
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