Stability Analysis in High-Performances Networks: A Time-domain Approach

S.-I. Niculescu (France), W. Michiels (Belgium), D. Melchor-Aguillar (Mexico), F. Mazenc, and F. Cha


delay; stability; robustness; Lyapunov; chaos.


This paper focuses on some robust control ideas applied to congestion control problems in high-performance network systems. Thus, we shall focus on the asymptotic stability of two nonlinear continuous-time fluid approximation models including constant or time-varying delays in their systems' representation. The key idea of our approach is represented by an uncertainty interpretation of the delays, combined with the construction of appropriate Lyapunov-Krasovskii functionals for performing the stability analysis.

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