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Strong delay-independent stability of linear delay systems |
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| Authors: | Fúlvia SS de Oliveira Fernando O Souza |
| Institution: | 1. Federal University of Minas Gerais, Graduate Program in Electrical Engineering, Av. Antônio Carlos 6627, Belo Horizonte, MG, 31270-010, Brazil;2. Department of Electronics Engineering, Federal University of Minas Gerais, Av. Antônio Carlos 6627, Belo Horizonte, MG, 31270-010, Brazil |
| Abstract: | This paper presents a new necessary and sufficient condition for testing the strong delay-independent stability of linear systems subject to a single delay. The proposed method follows from the use of matrix polynomials constraints and the Kalman–Yakubovich–Popov lemma. The resulting condition can be checked exactly by solving a feasibility problem in terms of a linear matrix inequality (LMI). Simple numerical examples are given to show the effectiveness of the proposed method. |
| Keywords: | Corresponding author |
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