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http://dx.doi.org/10.5370/KIEE.2013.62.5.673

Stability of Interval Time-delayed Linear Systems using a Switched System Approach  

Kim, Joo-Kyeong (School of Electronics Engineering, Chungbuk National University)
Kim, Jin-Hoon (School of Electronics Engineering, Chungbuk National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.62, no.5, 2013 , pp. 673-678 More about this Journal
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.
Keywords
Stability; Interval time-delay; Switched system; PD-LKF; LMI;
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