Extended (differential) Balancing for Model Reduction of Linear and Nonlinear Dynamical Systems

Description

In this talk, we will develop extended balancing and its structure preservation possibilities for linear systems, as well as extended balancing theory for nonlinear systems in the contraction framework. For the latter, we introduce the concept of the extended differential observability Gramian and inverse of the extended differential controllability Gramian for nonlinear dynamical systems and show their correspondence with generalized differential Gramians. We also provide how extended (differential) balancing can be utilized for model reduction to get a smaller apriori error bound in comparison with generalized (differential balancing). We will focus on preserving the structure of a port-Hamiltonian system with help of extended balancing in both the linear and nonlinear systems setting.

Period	15-Sept-2022
Event title	25th International Symposium on Mathematical Theory of Networks and Systems: MTNS 2022
Event type	Conference
Location	Bayreuth, GermanyShow on map