Theory of homogeneous dynamical systems and their application

Date: Wed. October 26, 2022
Event: FAU DCN-AvH Seminar
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: FAU DCN-AvH Seminar “Theory of homogeneous dynamical systems and their application”

Speaker: Prof. Dr. Denis Efimov
Affiliation: Inria, Lille – Nord Europe Center (France)

Abstract. Homogeneity is a kind of symmetry, which can be checked from the right-hand sides of an ordinary or functional differential equation describing the dynamics of a system, and which also provides symmetry to the induced solutions. The interrelation of solutions for a dynamical system has many consequences in terms of stability, rate of convergence and robustness to exogenous disturbances or delays. This talk presents a brief overview of the theory of homogeneous systems for ordinary differential equations, time-delay dynamics, discrete-time models, and partial differential equations, with emphasis on applications for control and estimation.


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