# A Lyapunov-Like Characterization of Asymptotic Controllability

@article{Sontag1983ALC, title={A Lyapunov-Like Characterization of Asymptotic Controllability}, author={Eduardo Sontag}, journal={SIAM Journal on Control and Optimization}, year={1983}, volume={21}, pages={462-471} }

It is shown that a control system in ${\bf R}^n $ is asymptotically controllable to the origin if and only if there exists a positive definite continuous functional of the states whose derivative can be made negative by appropriate choices of controls.

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