Linearized Control Systems and Applications to Smooth Stabilization
- 1 March 1994
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 32 (2) , 358-386
- https://doi.org/10.1137/s0363012992226867
Abstract
For a control system $\dot{x} = f(x,u)$, the author proves that, for generic feedback laws $u$ such that $f(x,u(x))$ does not vanish, the linearized control systems around the trajectories of $\dot{x} = f(x,u(x))$ have the same strong accessibility algebra as $f$. Applications are given to the smooth stabilization problem.
Keywords
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