17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper FrP06.5

Kao, Chung-Yao (Univ. of Melbourne)

Robust Stability of Systems with Uncertain Time-Varying Delays

Scheduled for presentation during the Regular Session "Delay Systems" (FrP06), Friday, July 28, 2006, 17:00−17:25, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Keywords Delay systems, Integral quadratic constraints, Uncertain systems

Abstract

It is well-known that the manifestation of time delays in a system can lead to destabilization of the system. In this paper, stability in presence of bounded uncertain time-varying time delays in the feedback loop of a system is studied. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) using Kalman-Yakubovich-Popov lemma.