Results on robust stabilization of asymptotically controllable systems by hybrid feedback
Prieur, C.; Goebel, R.; Teel, A.R.
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC apos;05. 44th IEEE Conference on
Volume , Issue , 12-15 Dec. 2005 Page(s): 2598 - 2603
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Summary: We show that a nonlinear system that is asymptotically controllable to a compact set can be stabilized by a hybrid feedback that is robust to small measurement noise, actuator error, and external disturbances. The construction of such a feedback hinges upon recasting a stabilizing patchy feedback in the hybrid framework. Auxiliary results on generic robustness of stability in hybrid systems are given.

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