We consider a finite-dimensional control system , such that there exists a feedback stabilizer that renders globally asymptotically stable. Moreover, for with an output map and , we assume that there exists a -function such that , where is the maximal solution of , corresponding to and to the initial condition . Then, the gain function of given by
Keywords: nonlinear control systems, $L^p$-stabilization, input-to-state stability, finite-gain stability, input saturation, Lyapunov function
@article{COCV_2001__6__291_0, author = {Chitour, Yacine}, title = {On the $L^p$-stabilization of the double integrator subject to input saturation}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {291--331}, publisher = {EDP-Sciences}, volume = {6}, year = {2001}, mrnumber = {1824105}, zbl = {0996.93082}, language = {en}, url = {http://www.numdam.org/item/COCV_2001__6__291_0/} }
TY - JOUR AU - Chitour, Yacine TI - On the $L^p$-stabilization of the double integrator subject to input saturation JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2001 SP - 291 EP - 331 VL - 6 PB - EDP-Sciences UR - http://www.numdam.org/item/COCV_2001__6__291_0/ LA - en ID - COCV_2001__6__291_0 ER -
Chitour, Yacine. On the $L^p$-stabilization of the double integrator subject to input saturation. ESAIM: Control, Optimisation and Calculus of Variations, Volume 6 (2001), pp. 291-331. http://www.numdam.org/item/COCV_2001__6__291_0/
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