The New Criteria Robust Stability of Uncertain Neutral Systems with Discrete and Distributed Delays
Received:July 28, 2006  Revised:January 19, 2007
Key Words: stability   discrete delay   distributed delay   neutral system   linear matrix inequality (LMI).  
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Author NameAffiliation
XIONG Liang Lin School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China 
ZHONG Shou Ming School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China 
TIAN Jun Kang School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China 
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Abstract:
      The robust stability of uncertain linear neutral systems with discrete and distributed delays is investigated. The uncertainties under consideration are norm bounded, and possibly time varying. By means of the equivalent equation of zero in the derivative of the Lyapunov-Krasovskii function, the proposed stability criteria are formulated in the form of a linear matrix inequality and it is easy to check the robust stability of the considered systems. Numerical examples demonstrate that the proposed criteria are effective.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.009
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