Open AccessWell-posedness and stability of non-autonomous semilinear input-output systems
Author(s) -
Jochen Schmid
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2022017
Subject(s) - passivity , hamiltonian system , control theory (sociology) , boundary (topology) , stability (learning theory) , hamiltonian (control theory) , exponential stability , mathematics , computer science , control system , control (management) , mathematical analysis , physics , nonlinear system , mathematical optimization , artificial intelligence , quantum mechanics , machine learning , electrical engineering , engineering
We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. Along the way, we also establish global stability estimates. We consider both systems with distributed control and observation and systems with boundary control and observation, and we treat them in a unified manner. Applications are given to nonlinearly controlled collocated systems and to nonlinearly controlled port-Hamiltonian systems.