KIEE - The Transactions of the Korean Institute of Electrical Engineers

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The Transactions of the Korean Institute of Electrical Engineers

The Transactions of the Korean Institute of Electrical Engineers

ISO Journal TitleTrans. Korean. Inst. Elect. Eng.

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Title	Stability of Interval Time-delayed Linear Systems using a Switched System Approach
Authors	김주경(Kim, Joo-Kyeong) ; 김진훈(Kim, Jin-Hoon)
DOI	https://doi.org/10.5370/KIEE.2013.62.5.673
Page	pp.673-678
ISSN	1975-8359
Keywords	Stability ; Interval time-delay ; Switched system ; PD-LKF ; LMI
Abstract	This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

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