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The stabilization with a General Dissipativity Constraint (GDC) has been governed by the non-negativeness of ΔV(x, k) along the trajectories (i.e. ΔV(x, k) 0), in which ΔV(x, k) 0 is a storage function. We have stated and proved the state convergence with the GDC a previous work, but the stability has not been addressed thoroughly. In this paper, we analyze the stability that is obtained from...
For a class of switched discrete-time linear systems, switching laws are presented to make the switched systems asymptotically stable. The switching times are determined by both time-driven and state-driven mechanisms. In both time-driven and state-driven periods, the Lyapunov-like function is not required to be monotonically decreasing. Thus, these switching laws can reduce the switching frequency...
This paper investigates the stabilization of the single inverted pendulum system by using switching state feedback control. The switching controllers are composed of a steering controller and a stabilization controller. The steering controller is applied to drive the state trajectory into a preset region, and the stabilization controller makes the state trajectory converge to the original point. A...
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