Non-weighted l2/L2-gain of asynchronously switched systems. (December 2021)

• Record Type: Journal Article
• Authors: Liu, Yang; Chen, Xiaoying; Lu, Jianquan; Gui, Weihua
• Is Part Of: Nonlinear analysis. Volume 43(2022)
• Publication Date: 2021-12
• Subjects: Non-weighted l2/L2-gain -- Average dwell time -- Nonlinear switched system -- Asynchronous switching; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101105
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper concerns that a non-weighted l 2 / L 2 -gain performance for asynchronously switched systems can be achieved in both discrete-time and continuous-time cases. Based on the constructed Lyapunov-like functions with average dwell time (ADT) method and inequality analysis technique, a non-weighted l 2 / L 2 -gain for asynchronously switched nonlinear systems can be guaranteed, which improves the existing results. Meanwhile, for asynchronously switched linear systems, the piecewise Lyapunov matrices are constructed and linear matrix inequalities (LMIs) conditions are derived to attain a non-weighted l 2 / L 2 -gain performance. Finally, some examples are provided to illustrate the theoretical results.