On the solution of a nonlinear matrix equation for MIMO symmetric realizations
Systems & Control Letters
Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
ENOR: model order reduction of RLC circuits using nodal equations for efficient factorization
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Proceedings of the 43rd annual Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Guaranteed passive balancing transformations for model order reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Two Algorithms for Fast and Accurate Passivity-Preserving Model Order Reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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We present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a pair of algebraic Riccati equations (AREs) in conventional PRBT, whose complexity limits practical large-scale realization, is replaced with the solution of one cross Riccati equation (XRE). The cross-Riccatian solution then permits simple construction of projection matrices without actually balancing the system. The method encompasses passive linear networks, as commonly used in interconnect and package modelings, due to their inherent reciprocity and therefore symmetric transfer functions. Effectiveness of the proposed approach is verified by numerical examples.