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Periodic output feedback stabilization of neutral systems. (English) Zbl 0849.93055
For the general class of neutral delay systems, the authors investigate when a system from this class is stabilizable by a feedback of the form $$u(n\tau + t) = K(t) y(n \tau)$$, $$t \in [0,\tau)$$. Here, $$u$$ denotes the input, $$y$$ denotes the output, and $$\tau$$ is the sample time. Assuming that the open loop system has only finitely many unstable poles, which are controllable and observable, the authors prove the existence of such a feedback. An algorithm for constructing this feedback is given as well.
Reviewer: H.Zwart (Enschede)

##### MSC:
 93D15 Stabilization of systems by feedback 93C57 Sampled-data control/observation systems 34K40 Neutral functional-differential equations
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