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Zbl 1006.93054
Han, Qing-Long; Gu, Keqin
On robust stability of time-delay systems with norm-bounded uncertainty. (English)
[J] IEEE Trans. Autom. Control 46, No.9, 1426-1431 (2001). ISSN 0018-9286

Summary: This note considers the robust stability problem for a class of time-delay systems with norm-bounded, and possibly time-varying, uncertainty. Based on the discretized Lyapunov functional approach, a stability criterion is derived. The time-delay is assumed constant and known. Numerical examples show that the results obtained by this new criterion significantly improve the estimate of the stability limit over some existing results in the literature.

MSC 2000:: *93D09 Robust stability of control systems
93C23 Systems governed by functional-differential equations

Keywords: robust stability; time-delay systems; uncertainty; discretized Lyapunov functional; stability

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