In this paper we consider the problem of small time local attainability (STLA) for nonlinear finite-dimensional time-continuous control systems in presence of state constraints. More precisely, given a nonlinear control system subjected to state constraints and a closed set $S$, we provide sufficient conditions to steer to $S$ every point of a suitable neighborhood of $S$ along admissible trajectories of the system, respecting the constraints, and giving also an upper estimate of the minimum time needed for each point to reach the target. Methods of nonsmooth analysis are used.

Keywords: Geometric control theory, small-time local attainability, state constraints

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@article{COCV_2017__23_3_1003_0, author = {Le Thuy, T.T. and Marigonda, Antonio}, title = {Small-time local attainability for a class of control systems with state constraints}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {1003--1021}, publisher = {EDP-Sciences}, volume = {23}, number = {3}, year = {2017}, doi = {10.1051/cocv/2016022}, zbl = {1369.49016}, mrnumber = {3660457}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2016022/} }

TY - JOUR AU - Le Thuy, T.T. AU - Marigonda, Antonio TI - Small-time local attainability for a class of control systems with state constraints JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2017 SP - 1003 EP - 1021 VL - 23 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2016022/ DO - 10.1051/cocv/2016022 LA - en ID - COCV_2017__23_3_1003_0 ER -

%0 Journal Article %A Le Thuy, T.T. %A Marigonda, Antonio %T Small-time local attainability for a class of control systems with state constraints %J ESAIM: Control, Optimisation and Calculus of Variations %D 2017 %P 1003-1021 %V 23 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2016022/ %R 10.1051/cocv/2016022 %G en %F COCV_2017__23_3_1003_0

Le Thuy, T.T.; Marigonda, Antonio. Small-time local attainability for a class of control systems with state constraints. ESAIM: Control, Optimisation and Calculus of Variations, Volume 23 (2017) no. 3, pp. 1003-1021. doi : 10.1051/cocv/2016022. http://archive.numdam.org/articles/10.1051/cocv/2016022/

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