New delay-interval stability condition |
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Authors: | Fernando O Souza |
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Affiliation: | Departamento de Engenharia Eletr?nica , Universidade Federal de Minas Gerais , Av. Ant?nio Carlos 6627, 31270-010, Belo Horizonte , MG , Brasil |
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Abstract: | The delay-dependent stability problem for systems with time-delay varying in an interval is addressed in this article. The new idea in this article is to connect two very efficient approaches: the discretised Lyapunov functional for systems with pointwise delay and the convex analysis for systems with time-varying delay. The proposed method is able to check the stability interval when the time-varying delay d(t) belongs to an interval r,?τ]. The case of unstable delayed systems for r?=?0 is also treatable. The resulting criterion, expressed in terms of a convex optimisation problem, outperforms the existing ones in the literature, as illustrated by the numerical examples. |
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Keywords: | time-delay systems time-delay interval stability linear matrix inequality |
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