On Average Values of Time-Varying Delays and a New Representation of Systems with Time-Varying Delays
Abstract
We show by a counterexample that the asymptotic stability of a system with a pointwise periodic time-varying delay cannot be deduced from the average value of the delay. We use this counterexample to motivate our new representation of systems with time-varying delays, which we use to develop a new state feedback stabilization method.
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