Structure preserving reduced order modeling for gradient systems

Multiple block structure-preserving reduced order modeling of interconnect circuits

In this paper, we propose a generalized multiple-block structure-preserving reduced order interconnect macromodeling method (BSPRIM). Our approach extends the structure-preserving model order reduction (MOR) method SPRIM [R.W. Freund, SPRIM: structure-preserving reduced-order interconnect macromodeling, in: Proceedings of International Conference on Computer Aided Design (ICCAD), 2004, pp. 80–8...

Reduced Order Modeling of Nonlinear Control Systems

Reduced order modeling of complex systems

Solutions of (nonlinear) complex systems are expensive with respect to both storage and CPU costs. As a result, it is difficult if not impossible to deal with a number of situations such as: continuation or homotopy methods for computing state solutions; parametric studies of state solutions; optimization and control problems (multiple state solutions); and feedback control settings (real-time ...

Reduced-Order Modeling of Time-Varying Systems

We present algorithms for reducing large circuits, described at SPICE-level detail, to much smaller ones with similar input–output behavior. A key feature of our method, called timevarying Padé (TVP), is that it is capable of reducing time-varying linear systems. This enables it to capture frequency-translation and sampling behavior, important in communication subsystems such as mixers and swit...

An Approach for Reduced Order Modeling of Nonlinear Power Systems

-In this paper we present an approach for the reduced order modeling of nonlinear power systems. We describe a combined symbolic-numeric methodology for a local model order reduction which is based on the theory of singularly perturbed systems. Since the properties of power systems are taken into account, we were able to define an easy to use formula which eliminates the necessity of engineerin...