On Brockett’s Condition for Smooth Stabilizability and Its Necessity in a Context of Nonsmooth Feedback
- 1 November 1994
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 32 (6) , 1597-1604
- https://doi.org/10.1137/s0363012992235432
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.Keywords
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