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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.

93D15Stabilization of systems by feedback
93C57Sampled-data control systems
34K40Neutral functional-differential equations
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