Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems

Autor:	Mlinarić, Petar, Benner, Peter, Gugercin, Serkan
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	Interpolatory necessary optimality conditions for $\mathcal{H}_2$-optimal reduced-order modeling of non-parametric linear time-invariant (LTI) systems are known and well-investigated. In this work, using the general framework of $\mathcal{L}_2$-optimal reduced-order modeling of parametric stationary problems, we derive interpolatory $\mathcal{H}_2 \otimes \mathcal{L}_2$-optimality conditions for parametric LTI systems with a general pole-residue form. We then specialize this result to recover known conditions for systems with parameter-independent poles and develop new conditions for a certain class of systems with parameter-dependent poles. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.10047 Zobrazit plný text záznamu View this record from Arxiv