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The effect of small delays in the feedback loop on the stability of neutral systems. (English) Zbl 0866.93089
Summary: It is well-known that exponential stabilization of a neutral system with unstable difference operator is only possible by allowing for control laws containing derivative feedback. We show that closed-loop stability of a neutral system with unstable open-loop difference operator obtained by applying a derivative feedback scheme is extremely sensitive to arbitrarily small time delays in the feedback loop.

MSC:
93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
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