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This paper addresses the computation of the L2-induced gain for a class of switched systems. The main contribution of the paper is to completely characterize the induced gain of the switched system through a system of differential inequalities on a common storage function, one for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust...
In this work, we propose a graph approach for stability of piecewise linear systems. A stability criterion is presented based on the attractivity of an invariant region. The approach is applied to analyzing the consensus of opinion dynamics with a uniform confidence level, which leads to an easily verifiable sufficient condition for consensus.
The paper is concerned with the L2-stability analysis of linear feedback systems described by integral equations and with a time-varying (more specifically, periodic switching) feedback gain. In contrast to Lyapunov approaches widely used in the literature of switched systems, a non-Lyapunov framework is employed in this paper. The results obtained are in the frequency domain, which can be (i) applied...
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