ISMMA ONLINE SEMINAR

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  • Tuesday, April 13, 2021:
    Time-domain moment matching for nonlinear dynamical systems of ODEs – Something to compute… – Dr. Tudor Ionescu (ISMMA)

Abstract: For nonlinear systems, high dimension and complexity are two major issues in dealing with models suitable for (nonlinear) analysis, simulation and control. Even if the high dimension is reduced, complexity may increase as opposed to linear systems where these notions are identical. Therefore, suitable model reduction is called for. This has been studied recently in the time-domain moment matching framework, where suitable notions of moment have been introduced and families of parameterized reduced order models have been developed. The degrees of freedom are used to enforce/preserve properties or topology, increase accuracy, etc. Same ideas apply to the case of infinite-dimensional systems such as, e.g., time-delayed systems, PDE-based models, etc. where families of finite-dimensional systems can be achieved based on moment matching.

  • Thursday, March 4, 2021:
    Asupra unei ecuaţii neliniare de evoluţie într-un spaţiu abstract de stări în sensul lui Davies – Dr. Cecil Pompiliu Grunfeld (ISMMA)

Rezumat: Rezultate recente privind existenţa şi unicitatea soluţiilor globale în timp ale problemei Cauchy pentru o ecuaţie neliniara de evoluţie, formulată într-un spaţiu abstract de stări în sensul lui Davies (spaţiu Banach ordonat real, cu norma aditivă pe conul pozitiv) sunt prezentate în contextul aplicării la modele neliniare de evoluţie, specifice mecanicii cuantice.

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