Print Email Facebook Twitter A novel Lyapunov function for a non-weighted L2 gain of asynchronously switched linear systems Title A novel Lyapunov function for a non-weighted L2 gain of asynchronously switched linear systems Author Yuan, S. (TU Delft Team Bart De Schutter) Zhang, Lixian (Harbin Institute of Technology) De Schutter, B.H.K. (TU Delft Team Bart De Schutter) Baldi, S. (TU Delft Team Bart De Schutter) Date 2018 Abstract In this paper, a novel Lyapunov function is proposed to study switched linear systems with a switching delay between activation of system modes and activation of candidate controller modes. The novelty consists in continuity of the Lyapunov function at the switching instants and discontinuity when the system modes and controller modes are matched. This structure is exploited to construct a time-varying Lyapunov function that is non-increasing at time instants of discontinuity. Stability criteria based on the novel Lyapunov function are developed to guarantee global asymptotic stability in the noiseless case. Most importantly, when exogenous disturbances are considered, the proposed Lyapunov function can be used to guarantee a finite non-weighted L2 gain for asynchronously switched systems, for which Lyapunov functions proposed in literature are inconclusive. A numerical example illustrates the effectiveness of the proposed method. Subject Asynchronously switched linear systemsDwell timeLyapunov methodNon-weighted L gain To reference this document use: http://resolver.tudelft.nl/uuid:9826f308-6e01-49c6-927c-f284bee4a893 DOI https://doi.org/10.1016/j.automatica.2017.10.018 Embargo date 2019-11-06 ISSN 0005-1098 Source Automatica, 87, 310-317 Part of collection Institutional Repository Document type journal article Rights © 2018 S. Yuan, Lixian Zhang, B.H.K. De Schutter, S. Baldi Files PDF A_novel_Lyapunov_function ... ystems.pdf 1.89 MB Close viewer /islandora/object/uuid:9826f308-6e01-49c6-927c-f284bee4a893/datastream/OBJ/view