Omega-limit sets of a class of nonlinear systems that are semiglobally practically stabilized

In nonlinear control theory, the equilibrium of a system is semiglobally practically stabilizable if, given two balls centred at the equilibrium, one of arbitrarily large radius and one of arbitrarily small radius, it is possible to design a feedback so that the resulting closed-loop system has the following property: all the trajectories originating in the large ball enter into the small ball and stay inside thereafter. In this work, given certain classes of nonlinear systems that are semiglobally practically stabilized, we focus on the problem of characterizing the structure of the omega-limit set that attracts the trajectories that start inside the large ball. Copyright (c) 2005 John Wiley & Sons, Ltd.