@ARTICLE{Magri_El_Mostafa_On_2022, author={Magri, El Mostafa and Amissi, Chadi and Afifi, Larbi and Lhous, Mustapha}, volume={vol. 32}, number={No 4}, journal={Archives of Control Sciences}, pages={733-754}, howpublished={online}, year={2022}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given.}, type={Article}, title={On the minimum energy compensation for linear time-varying disturbed systems}, URL={http://sd.czasopisma.pan.pl/Content/125431/PDF-MASTER/4-Magri_int.pdf}, doi={10.24425/acs.2022.143669}, keywords={dynamical systems, remediability, observation, optimal control, disturbance}, }