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This work is concerned with the design of an observer for Switched Linear Systems (SLS) subject to an unknown switching signal. The convergence of the proposed SLS observer is proved, based on observability results for SLS, for the following two cases. First, it is shown that if the discrete state of the SLS is observable, then the observer estimates the switching signal, even though the individual...
In this paper, an improved combined switching law is proposed for a class of continuous-time switched linear system with two subsystems. Under this switching law, the Lyapunov-like function is not necessarily to be decreasing in both time-driven and state-driven mechanisms. This remarkably reduces the switching frequency. Under suitable assumptions on the system dynamics, the switched system is exponentially...
For a class of switched discrete-time linear systems, a state dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilizing switching law being of lower switching frequency in contrast...
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