Passivity and passification of time-delay systems

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Abstract

In this paper, the problems of passivity and passification of a class of linear time-delay systems are investigated. A new state-transformation is developed to exhibit the delay-dependence. It is established that the passivity condition can be cast in a linear matrix inequality (LMI) format. For state feedback passification, it is proven that it is indifferent to use instantaneous or delayed state-feedback. The case of dynamic output feedback passification is also treated. Numerical examples are provided.

Keywords

Passivity
Time-delay systems
Feedback passification
LMI

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This work is supported by the Scientific Research Council of UAE University under Grant 02-04-7-11/03.