# 새로운 구조의 L-K함수를 이용한 시간 지연 선형시스템의 시간 종속 안정성

• Kim, Jin-Hoon (Dept. of Electronics Engineering, Chungbuk National University)
• 김진훈 (충북대학교 전자정보대학)
• Received : 2012.11.12
• Accepted : 2013.01.15
• Published : 2013.02.01

#### 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.

#### Acknowledgement

Supported by : 충북대학교

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