Applicants are invited to apply for two Research Assistant/Associate positions funded by EPSRC to develop novel method for model reduction from data. In particular, the objective of this research programme is to lay the foundations of a new, data-driven, modelling paradigm which provides approximate models which retain specific properties of the underlying systems and are arbitrarily accurate for a set of user-selected operating conditions. This is accomplished by defining the so-called Loewner operators, their shifted versions, and by developing the Loewner calculus. The "Loewner perspective" allows describing complex dynamical behaviours in terms of functions (the Lowner operators, which are finite dimensional operators), "shifts" (which plays the role of the time-derivative or of a discrete-differentiator) and the Loewner calculus (which generates accurate, low-complexity models, from manipulations of the Loewner operators). The methodological results will be supported by the development of numerical methods for real-time implementation of the proposed algorithms and for the generation of data-driven control strategies guaranteeing safe, reliable, and optimal operation of the underlying system.
https://www.imperial.ac.uk/jobs/description/ENG01953/research-assistantassociate
