Robust stability of some oscillatory systems including time-varying delay with applications in congestion control  

Oleh:

Niculescu, Silviu-Iulian ; Gu, Keqin

Jenis: Article from Article
Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 960-965.
Topik: Oscillatory Systems; Congestion Control; Control-Time; Delay-Dependent
Fulltext: AC021529.PDF (164.48KB)

Isi artikel

This paper focuses on the stability of some second order linear systems with multiple constant and timevarying delays, under the assumption that the corresponding system without delays is an oscillator. Sufficient delay-dependent stability conditions will be derived using the integral quadratic constraint approach combined with the generalized eigenvalue distribution of some appropriate finite-dimensional matrix pencils. As an application, we shall discuss some fluid approximation models used in congestion control of highspeed networks, under the natural assumption that the control-time intervals are constant, but the round-trip times are time-varying.

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