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In the general framework of continuous-time linear systems with saturating actuators, this work is devoted to the characterization of the widest stability region of a planar unstable linear system for a fixed saturation level.
In this work we investigate the stability of bimodal and bistable (both modes are stable) continuous time linear systems in ??3. Under certain conditions, we first show that all the trajectories which start on the plane separating the two modes are bound to hit the plane again in finite time and go into the other mode. This property yields fixed directions on the separating plane. Eventually, all...
A new stability condition in terms of LMIs is studied in this paper. Based on a premise-dependent Lyapunov function and multiconvexity, we release the conservatism that commonly exists in the common P approach. Comparison studies for common P and non-common P methods are demonstrated, showing relaxation is achieved via the proposed approach.
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