Abstract
AbstractThe stability analysis and L2‐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 L2‐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.
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