## Passivity and passification of time-delay systems.(English)Zbl 1084.93014

The goal of this paper is to contribute to the further development of delay-dependent passivity and passification of a class of linear time-delay systems. It considers a less restrictive definition of passivity and employs a new state-transformation to exhibit the delay-dependent dynamics. It is shown that the passivity condition can be cast into a linear matrix inequality format. For state feedback passification, it is proven that it is indifferent to use instantaneous or delayed feedback. The case of output feedback passification is also treated using dynamic controllers. Numerical examples are given to illustrate the results.

### MSC:

 93C23 Control/observation systems governed by functional-differential equations 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory

### Keywords:

Passivity; Time-delay systems; Feedback passification; LMI
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### References:

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