On Brockett's Condition for Smooth Stabilizability and its Necessity in a Context of Nonsmooth Feedback

Authors:
E. P. Ryan
Affiliations:
-
Venue:
SIAM Journal on Control and Optimization
Year:
1994

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Abstract

The necessity of Brockett's condition for stabilizability of nonlinear systems by smooth feedback is shown, by an argument based on properties of a degree for set-valued maps, to persist when the class of controls is enlarged to include discontinuous feedback.