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In this paper, we introduce an enlargement of a standard hybrid automaton (HA) called a nonstandard hybrid automaton (NHA) which is another model of HA in the domain of *ℝ rather than ℝ. We define two kinds of almost periodic trajectories called the z-*cycle and p-* cycle on NHA, and we discuss a slightly extended Zeno (*Zeno) and a limit cycle in terms of these cycles. Moreover, we classify the ω-limit...
This paper considers the finite-time stabilization problem for an integrator chain in the context of uncertain measurement nonlinearities, such that the signs of the state variables are the only available information for feedback. The solutions of this problem are known for single, double, and triple integrators. The main result of the present paper is a higher-order sliding mode (HOSM) controller...
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