Structure-Preserving Model Reduction of Physical Network Systems

This paper considers physical network systems where the energy storage is naturally associated to the nodes of the graph, while the edges of the graph correspond to static couplings. The first sections deal with the linear case, covering examples such as mass-damper and hydraulic systems, which have a structure that is similar to symmetric consensus dynamics. The last section is concerned with a specific class of nonlinear physical network systems; namely detailed-balanced chemical reaction networks governed by mass action kinetics. In both cases, linear and nonlinear, the structure of the dynamics is similar, and is based on a weighted Laplacian matrix, together with an energy function capturing the energy storage at the nodes. We discuss two methods for structure-preserving model reduction. The first one is clustering; aggregating the nodes of the underlying graph to obtain a reduced graph. The second approach is based on neglecting the energy storage at some of the nodes, and subsequently eliminating those nodes (called Kron reduction).</p

System identification for black-box macro-modeling with Loewner matrix framework

Macro-modeling is important to protect intellectual property (IP) for manufacturers. With the current and growing complexity of modern electronics circuitry, algorithms that enable accurate and fast simulation are desirable. Vector fitting has been used in the industry for years for black-box macromodeling. Loewner matrix is newly introduced and appears to be a promisingalgorithm by its capability of handling systems with many ports. This work provides details about the Loewner matrix framework and its current development. Specifically, preparations of interpolation data for calculating Loewner matrices, and how to find the optimal order for the reducedorder model are discussed. Many numerical examples with measurement data will also be provided

Modeling for the Computer-Aided Design of Long Interconnects

L'abstract è presente nell'allegato / the abstract is in the attachmen