Recent advances in balancing-related model reduction of passive
circuit equations
Tatjana Stykel, TU Berlin
Design of VLSI circuits with distributed elements is no longer possible
without computer simulations that involve numerical solution of
differential-algebraic equations. Such equations may have very large
state space dimension that makes the analysis and simulations
unacceptably time consuming and expensive. In this context, model order
reduction is of great importance. We consider passivity-preserving model
reduction of circuit equations using the positive real and bounded
real balanced truncation methods. These methods are based on balancing
the solutions of projected Lur'e and Riccati matrix equations. We also
discuss their numerical solution exploiting the underlying structure
of circuit equations.
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Tatjana Stykel
Institut fuer Mathematik, MA 4-5
Technische Universitaet Berlin
Strasse des 17.Juni 136
10623 Berlin
Germany