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Stabilizing a class of time delay systems

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Abstract

In this paper we consider the problem of stabilizing a class of time delay systems using fixed order controllers. We show that a time delay system in the class considered is stable if and only if a property of interlacing is satisfied. We use an extension of the Hermite Biehler theorem for polynomials along with its analytical characterization to provide a set of stabilizing controllers.

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English

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Proceedings of the American Control Conference, v. 6, p. 4664-4668.

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