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Yong HE,Min WU,Jinhua SHE.[en_title][J].Control Theory and Technology,2004,2(4):386~392.[Copy]
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YongHE,MinWU,JinhuaSHE
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Received:February 02, 2004
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Delay-dependent robust stability for neutral systems with mix discrete-and-neutral delays
Yong HE,Min WU,Jinhua SHE
(School of Information Science and Engineering, Central South University, 410083 Changsha Hunan, China ;School of Mathematical Science and Computing Technology, Central South University, 410083 Changsha Hunan, China;Department of Mechatronics, Tokyo University of Technology, 192-0982 Tokyo, Japan)
Abstract:
This paper focuses on the problem of delay-dependent robust stability of neutral systems with different discrete-and-neutral delays and time-varying structured uncertainties. Some new criteria are presented, in which some free weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. The criteria include the information on the size of both neutral-and-discrete delays. It is shown that the present results also include the results for identical discrete-and-neutral delays as special cases. A numerical example illustrates the improvement of the proposed methods over the previous methods and the influences between the discrete and neutral delays.
Key words:  Neutral system  Delay-dependent criteria  Robust stability  Time-varying structured uncertainties  Linear matrix inequality