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| Received:March 03, 2012Revised:May 01, 2012 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60874017, 50977008, 60821063, 61034005), the National High Technology Research and Development Program of China (No. 2009AA04Z127), and the National Basic Research Program of China (No. 2009CB320601). |
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| Passivity-based decentralized stabilization of multi-agent systems with uncertainty and mixed delays |
| Lianzeng MA,Xuebo CHEN,Huaguang ZHANG |
| (School of Information Science and Engineering, Northeastern University; School of Electronics and Information Engineering, University of Science and Technology Liaoning) |
| Abstract: |
| In this paper, we investigate a decentralized stabilization problem of uncertain multi-agent systems with mixed delays including discrete and distributed time-varying delays based on passivity stability. We design a decentralized state-feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the delay-dependent passivity stability for each subsystem. Then, by employing a new Lyapunov-Krasovskii function, a linear matrix inequality (LMI) approach is developed to establish the delay-dependent criteria for the passivity stability of multi-agent systems. The sufficient condition is given for checking the passivity stability. The proposed LMI result is computationally efficient. An example is given to show the effectiveness of the method. |
| Key words: Multi-agent systems Passivity stability Decentralized stabilization Time-delay systems |
