On the $\mathcal{H}_2$ norm and iterative model order reduction of linear switched systems
Ion Victor Gosea, Athanasios C. Antoulas
TL;DR
This paper introduces a new $ ext{H}_2$ norm definition for linear switched systems and extends the iterative rational Krylov algorithm to this class, enabling improved model reduction techniques.
Contribution
It presents a novel $ ext{H}_2$ norm for switched systems and adapts the Krylov algorithm for effective iterative model order reduction.
Findings
New $ ext{H}_2$ norm based on time-domain kernels
Extension of Krylov algorithm to switched systems
Enhanced model reduction capabilities
Abstract
A new definition of the norm for linear switched systems is introduced. It is based on appropriately defined time-domain kernels, or equivalently, on infinite controllability and observability Gramian matrices. Furthermore, an extension of the iterative rational Krylov algorithm to the class of linear switched systems is proposed.
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Taxonomy
TopicsModel Reduction and Neural Networks · Control Systems and Identification · Numerical methods for differential equations