Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems

Authors:
Min Wu;Yong He;Jin-Hua She;Guo-Ping Liu
Affiliations:
School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Bionics, Tokyo University of Technology, Tokyo, 192-0982, Japan;School of Electronics, University of Glamorgan, Pontypridd CF37 1DL, UK and Institute of Automation, Chinese Academy of Sciences, Beijing 100080, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper deals with the problem of delay-dependent robust stability for systems with time-varying structured uncertainties and time-varying delays. Some new delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Since free weighting matrices are used to express this relationship and since appropriate ones are selected by means of linear matrix inequalities, the new criteria are less conservative than existing ones. Numerical examples suggest that the proposed criteria are effective and are an improvement over previous ones.