<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Prieur, Christophe</style></author><author><style face="normal" font="default" size="100%">Goebel, Rafal</style></author><author><style face="normal" font="default" size="100%">Teel, A.R.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems</style></title><secondary-title><style face="normal" font="default" size="100%">IEEE Transactions on Automatic Control</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Nov</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">11</style></number><volume><style face="normal" font="default" size="100%">52</style></volume><pages><style face="normal" font="default" size="100%">2103–2117</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">In this paper, we show, for any nonlinear system that is asymptotically controllable to a compact set, that a logic-based, hybrid feedback can achieve asymptotic stabilization that is robust to small measurement noise, actuator error, and external disturbance. The construction of such a feedback hinges upon recasting a stabilizing patchy feedback in a hybrid framework by Making it dynamic with a discrete state, while insisting on semicontinuity and closedness properties of the hybrid feedback and of the resulting closed-loop hybrid system. The robustness of stability is then shown as a generic property of hybrid systems having the said regularity properties. Auxiliary results give uniformity of convergence and of overshoots for hybrid systems, and give a KL characterization of asymptotic stability of compact sets.</style></abstract></record></records></xml>