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| MingxiangXUE,ShuminFEI,TaoLI,JuntaoPAN |
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| (Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University; School of Mathematical Sciences, Anhui University;School of Automation Engineering, Nanjing University of Aeronautics and Astronautics) |
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| Received:May 11, 2010Revised:September 12, 2011 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60835001, 60875035, 60904023, 61004032, 61004064, 11071001), the Special Foundation of China Postdoctoral Science Foundation Projects (No. 201003546), the Doctoral Fund of Ministry of Education of China (No. 20093401110001), the Major Program of Educational Commission of Anhui Province of China (No. KJ2010ZD02), the Program of Natural Science Research in Anhui Universities (No. KJ2011A020), and the 211 Project of Anhui University (No. KJQN1001). |
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| Delay-dependent absolute stability criterion for Lurie system with probabilistic interval time-varying delay |
| Mingxiang XUE,Shumin FEI,Tao LI,Juntao PAN |
| (Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University; School of Mathematical Sciences, Anhui University;School of Automation Engineering, Nanjing University of Aeronautics and Astronautics) |
| Abstract: |
| In this paper, the absolute stability of Lurie control system with probabilistic time-varying delay is studied. By using a new extended Lyapunov-Krasovskii functional, an improved stability criterion based on LMIs is presented and its solvability heavily depends on the sizes of both the delay range and its derivatives, which has wider application fields than those present results. The efficiency and reduced conservatism of the presented results can be demonstrated by two numerical examples with giving some comparing results. |
| Key words: Lurie control system Absolute stability Probabilistic time-varying delay Linear matrix inequality (LMI) |
