Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systemsInput-to-state stability and inverse optimality of predictor feedback for multi-input linear systems Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2019-03-292019enFor the ‘‘exact’’ predictor-feedback control design, recently introduced by Tsubakino, Krstic, and Oliveira for multi-input linear systems with distinct input delays, we establish input-to-state stability, with respect to additive plant disturbances, as well as robustness to constant multiplicative uncertain-ties affecting the inputs. We also show that the exact predictor-feedback controller is inverse optimal with respect to a meaningful differential game problem. Our proofs capitalize on the availability of a backstepping transformation, which is formulated appropriately in a recursive manner. An example, computed numerically, is provided to illustrate the validity of the developed results.Nikolaos Bekiaris-Liberis was supported by the funding fromthe European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement no. 747898, project PADECOT.http://creativecommons.org/licenses/by/4.0/Automatica103549--557Cai_et_al_Automatica_103_2019.pdfChania [Greece]Library of TUC2019-03-29application/pdf336 KB10.1016/j.automatica.2019.02.038https://www.sciencedirect.com/science/article/pii/S0005109819300925free Cai Xiushan Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Krstić, Miroslav Elsevier Delay compensation Predictor feedback Multi-input systems Input-to-state stabilization Inverse optimality Robustness