An exact LMI condition for the strong delay-independent stability analysis of neutral delay systems
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Universidade Federal de Minas Gerais
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This paper concentrates on strong delay-independent stability of neutral linear time-invariant delay systems with multiple commensurate time delays. The stability analysis of linear neutral systems is complicated by the need to locate the roots of a transcendental characteristic equation and to take into account the global hyperbolicity of an associated difference system. In this paper, we propose a convex necessary and sufficient condition for testing strong delay-independent stability. This result mainly follows from Kronecker sum properties and the Kalman-Yakubovich-Popov lemma, which allows us to present the main result in terms of a single linear matrix inequality feasibility test. The paper is closed by showing numerical examples that illustrate the applicability and effectiveness of the proposed method.
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Sistemas não lineares, Kalman, Filtragem de
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Kalman-Yakubovich-Popov lemma, Delay-independent stability, Linear matrix inequalities, Multipletime-delays, Neutral delay systems
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https://onlinelibrary.wiley.com/doi/full/10.1002/rnc.4324