On stability of linear time-delay systems with multiple delays

Authors:
Gwang-Seok Park;Ho-Lim Choi;Jong-Tae Lim
Affiliations:
Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Yuseong-gu, Daejeon, Korea, 305-701;Department of Electrical Engineering, Dong-A University, Saha-gu, Busan, 604-714, Korea;Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Yuseong-gu, Daejeon, Korea, 305-701
Venue:
International Journal of Systems Science
Year:
2008

Citing 4
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Complete stability robustness of third-order LTI multiple time-delay systems

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On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach

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Abstract

In this article, delay-dependent stability criteria for linear retarded and neutral systems with multiple delays are proposed by employing the Lyapunov-Krasovskii functional approach and integral inequality. By the N-segmentation of delay length, we obtain more relaxed results on the delay bounds which guarantee the asymptotic stability of the linear retarded and neutral systems with multiple delays. Simulation results show that the stability boundary calculated by the proposed stability criteria are very near to the real stability boundary of the example systems. Moreover, it is shown that the proposed stability criteria are less conservative than several other existing criteria.