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http://dx.doi.org/10.5370/KIEE.2013.62.2.246

Delay Dependent Stability of Time-delayed Linear Systems using New Structure of L-K Funciton  

Kim, Jin-Hoon (Dept. of Electronics Engineering, Chungbuk National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.62, no.2, 2013 , pp. 246-251 More about this Journal
Abstract
In this paper, we consider the stability of linear systems without delay decomposition. A less conservative result obtained without delay decomposition is strongly required since it is a basis to get an improved result by applying simple delay decomposition. Unlike the most popular Lyapunov-Krasovski(L-K) function, we consider the cross terms between variables. Based on this new structure of L-K function, we derive a delay-dependent stability criterion in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.
Keywords
Stability; Time-delay; Cross terms of variables; No delay decomposition; LMI;
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