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Stability Analysis and L 2 ‐gain of Switched Neutral Systems with All Unstable Subsystems
Author(s) -
Wang Haiyan,
Wu Baowei,
Wang YueE
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1741
Subject(s) - control theory (sociology) , discretization , mathematics , stability (learning theory) , class (philosophy) , set (abstract data type) , exponential stability , computer science , mathematical analysis , control (management) , physics , nonlinear system , quantum mechanics , artificial intelligence , machine learning , programming language
The stability analysis and L 2 ‐gain for a class of switched neutral systems with all unstable subsystems are investigated in this paper. By constructing the discretized multiple Lyapunov‐Krasovskii functional and resorting to the time‐driven switching signals, sufficient conditions for exponential stability and weighted L 2 ‐gain are developed for a class of switched neutral systems, where all subsystems are unstable. It should be pointed out that all the Lyapunov‐Krasovskii functional energies are allowed to increase during the running intervals of the active subsystems. Furthermore, all the conditions are formulated in forms of a set of linear matrix inequalities which can be easily solved by using the recently developed interior point method. Finally, two numerical examples are provided to show the effectiveness of the proposed approach.