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This paper investigates the problem of practical finite-time trajectory tracking and practical finite-time stabilization of two important classes of dynamical systems by means of C(∞) feedbacks. It is shown that Hamiltonian mechanical systems and systems in strict feedback form can be made globally finite-time stable by smooth parameterized feedbacks. We show that we could bring all the trajectories...
Zeno behavior is a dynamic phenomenon unique to hybrid systems in which an infinite number of discrete transitions occurs in a finite amount of time. This behavior commonly arises in mechanical systems undergoing impacts and optimal control problems, but its characterization for general hybrid systems is not completely understood. The goal of this paper is to develop a stability theory for Zeno hybrid...
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