Extended Balancing of Continuous LTI Systems: A Structure-Preserving Approach

In this article, we treat extended balancing for continuous-time linear time-invariant systems. We take a dissipativity perspective, thus, resulting in characterization terms of matrix inequalities. This perspective is useful determining priori error bounds. addition, address the problem structure-preserving model reduction subclass port-Hamiltonian establish sufficient conditions to ensure that reduced-order preserves structure. Moreover, show use Gramians can be exploited get small bound and, possibly, preserve physical interpretation model. illustrate results with large-scale mechanical system example. Furthermore, how interpret an electrical circuit again as lower dimensional circuit.