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Volumn 27, Issue 12, 2008, Pages 2250-2263

Passivity-preserving model reduction using dominant spectral-zero interpolation

Author keywords

Circuit simulation; Descriptor systems; Dominant spectral zeros; Eigenvalue problem; Hamiltonian system; Interpolation; Modal approximation (MA); Model reduction; Passivity; Residues; Stability; Subspace accelerated dominant pole algorithm (SADPA)

Indexed keywords

CIRCUIT SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; INTERPOLATION; NETWORKS (CIRCUITS); PASSIVATION; PASSIVE NETWORKS; POLES; POLYNOMIAL APPROXIMATION; SYSTEM STABILITY;

EID: 56749130059     PISSN: 02780070     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCAD.2008.2006160     Document Type: Conference Paper
Times cited : (44)

References (39)
  • 4
    • 16244364781 scopus 로고    scopus 로고
    • Sprim: Structure-preserving reduced-order interconnect macromodeling
    • Los Alamitos, CA
    • R. Freund, "Sprim: Structure-preserving reduced-order interconnect macromodeling," in Proc. IEEE/ACM ICAAD, Los Alamitos, CA, 2004, pp. 80-87.
    • (2004) Proc. IEEE/ACM ICAAD , pp. 80-87
    • Freund, R.1
  • 6
    • 0036911591 scopus 로고    scopus 로고
    • Robust and passive model order reduction for circuits containing susceptance elements
    • Nov. 10-14
    • H. Zheng and L. Pileggi. "Robust and passive model order reduction for circuits containing susceptance elements," in Proc. IEEE/ACM ICCAD. Nov. 10-14, 2002, pp. 761-766.
    • (2002) Proc. IEEE/ACM ICCAD , pp. 761-766
    • Zheng, H.1    Pileggi, L.2
  • 7
    • 0041633619 scopus 로고    scopus 로고
    • Vector potential equivalent circuit based on PEEC inversion
    • H. Yu and L. He, "Vector potential equivalent circuit based on PEEC inversion," in Proc. IEEE Des. Autom. Conf, 2003, pp. 718-723.
    • (2003) Proc. IEEE Des. Autom. Conf , pp. 718-723
    • Yu, H.1    He, L.2
  • 8
    • 56749135894 scopus 로고    scopus 로고
    • A sparsifled vector potential equivalent circuit model for massively coupled interconnects
    • H. Yu and L. He, "A sparsifled vector potential equivalent circuit model for massively coupled interconnects," in Proc. IEEE Int. Symp. Circuits Syst.. 2005, vol. 1, pp. 105-108.
    • (2005) Proc. IEEE Int. Symp. Circuits Syst , vol.1 , pp. 105-108
    • Yu, H.1    He, L.2
  • 9
    • 1542364461 scopus 로고    scopus 로고
    • Partial element equivalent circuit (PEEC) models for onchip passives and interconnects
    • Jan
    • M. E. Verbeek, "Partial element equivalent circuit (PEEC) models for onchip passives and interconnects," Int. J. Numer. Model.: Electron. Netw., Devices Fields, vol. 17, no. 1, pp. 61-84, Jan. 2004.
    • (2004) Int. J. Numer. Model.: Electron. Netw., Devices Fields , vol.17 , Issue.1 , pp. 61-84
    • Verbeek, M.E.1
  • 10
    • 0142124565 scopus 로고
    • Enhanced modal approach for model reduction
    • A. Varga, "Enhanced modal approach for model reduction," Math. Comput. Model. Dyn. Syst., vol. 1, no. 2, pp. 91-105, 1995.
    • (1995) Math. Comput. Model. Dyn. Syst , vol.1 , Issue.2 , pp. 91-105
    • Varga, A.1
  • 11
    • 49149090749 scopus 로고    scopus 로고
    • Numerical linear algebra for model reduction in control and simulation
    • P. Benner, "Numerical linear algebra for model reduction in control and simulation," GAMM-Mitteilungen, vol. 29, pp. 275-296, 2006.
    • (2006) GAMM-Mitteilungen , vol.29 , pp. 275-296
    • Benner, P.1
  • 12
    • 33747607496 scopus 로고    scopus 로고
    • Efficient computation of transfer function dominant poles using subspace acceleration
    • Aug
    • J. Rommes and N. Martins. "Efficient computation of transfer function dominant poles using subspace acceleration," IEEE Trans. Power Syst., vol. 21, no. 3, pp. 1218-1226, Aug. 2006.
    • (2006) IEEE Trans. Power Syst , vol.21 , Issue.3 , pp. 1218-1226
    • Rommes, J.1    Martins, N.2
  • 14
    • 34447544986 scopus 로고    scopus 로고
    • Numerical Methods for General and Structured Eigenvalue Problems
    • T. Barth, M. Griebel, D. Keyes, R. Nieminen, D. Roose, and T. Schlick, Eds. New York: Springer-Verlag
    • D. Kressner, Numerical Methods for General and Structured Eigenvalue Problems, ser. Lecture Notes in Computational Science and Engineering, T. Barth, M. Griebel, D. Keyes, R. Nieminen, D. Roose, and T. Schlick, Eds. New York: Springer-Verlag, 2005.
    • (2005) ser. Lecture Notes in Computational Science and Engineering
    • Kressner, D.1
  • 15
    • 14644411782 scopus 로고    scopus 로고
    • A new result on passivity preserving model reduction
    • Apr
    • A. C Antoulas, "A new result on passivity preserving model reduction," Syst. Control Lett., vol. 54. no. 4, pp. 361-374, Apr. 2005.
    • (2005) Syst. Control Lett , vol.54 , Issue.4 , pp. 361-374
    • Antoulas, A.C.1
  • 16
    • 14544303052 scopus 로고    scopus 로고
    • Passivity preserving model reduction via interpolation of spectral zeros
    • Apr
    • D. Sorensen, "Passivity preserving model reduction via interpolation of spectral zeros," Syst. Control Lett., vol. 54, no. 4, pp. 347-360. Apr. 2005.
    • (2005) Syst. Control Lett , vol.54 , Issue.4 , pp. 347-360
    • Sorensen, D.1
  • 18
    • 33748439717 scopus 로고    scopus 로고
    • Balanced truncation model reduction for large-scale systems in descriptor form
    • Dimension Reduction of Large-Scale Systems, P. Benner, V. Mehrmann, and D. Sorensen, Eds. Heidelberg, Germany: Springer-Verlag
    • V. Mehrmann and T. Stykel, "Balanced truncation model reduction for large-scale systems in descriptor form," in Dimension Reduction of Large-Scale Systems, ser. LNCSE, vol. 45, P. Benner, V. Mehrmann, and D. Sorensen, Eds. Heidelberg, Germany: Springer-Verlag, 2005.
    • (2005) ser. LNCSE , vol.45
    • Mehrmann, V.1    Stykel, T.2
  • 19
    • 0037322638 scopus 로고    scopus 로고
    • A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices
    • Feb
    • M. Rewienski and J. White. "A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 22, no. 2. pp. 155-170, Feb. 2003.
    • (2003) IEEE Trans. Comput.-Aided Design Integr. Circuits Syst , vol.22 , Issue.2 , pp. 155-170
    • Rewienski, M.1    White, J.2
  • 20
    • 33748437196 scopus 로고    scopus 로고
    • Partial realization of descriptor systems
    • Nov
    • P. Benner and V. Sokolov, "Partial realization of descriptor systems." Syst. Control Lett., vol. 55, no. 11, pp. 929-938, Nov. 2006.
    • (2006) Syst. Control Lett , vol.55 , Issue.11 , pp. 929-938
    • Benner, P.1    Sokolov, V.2
  • 21
    • 56749152760 scopus 로고    scopus 로고
    • R. Ionutiu, S. Lefteriu, and A. Antoulas, Comparison of model reduction methods with applications to circuit simulation, in Scientific Computing in Electrical Engineering (SCEE 2006), ser. Mathematics in Industry, 11, G. Ciuprina and D. loan, Eds. Berlin, Germany: Springer-Verlag, 2007.
    • R. Ionutiu, S. Lefteriu, and A. Antoulas, "Comparison of model reduction methods with applications to circuit simulation," in Scientific Computing in Electrical Engineering (SCEE 2006), ser. Mathematics in Industry, vol. 11, G. Ciuprina and D. loan, Eds. Berlin, Germany: Springer-Verlag, 2007.
  • 22
    • 33847659681 scopus 로고    scopus 로고
    • Efficient computation of multivariable transfer function dominant poles using subspace acceleration
    • Nov
    • J. Rommes and N. Martins. "Efficient computation of multivariable transfer function dominant poles using subspace acceleration," IEEE Trans. Power Syst., vol. 21, no. 4, pp. 1471-1483, Nov. 2006.
    • (2006) IEEE Trans. Power Syst , vol.21 , Issue.4 , pp. 1471-1483
    • Rommes, J.1    Martins, N.2
  • 23
    • 0004067099 scopus 로고    scopus 로고
    • Krylov projection methods for model reduction,
    • Ph.D. dissertation, Univ. Illinois. Urbana-Champaign, Urabana, IL
    • E. Grimme, "Krylov projection methods for model reduction," Ph.D. dissertation, Univ. Illinois. Urbana-Champaign, Urabana, IL, 1997.
    • (1997)
    • Grimme, E.1
  • 24
    • 56749145666 scopus 로고    scopus 로고
    • R. Ionutiu, Model Reduction for descriptor systems with applications to circuit simulation, William Marsh Rice Univ., Houston, TX, Tech. Rep. TREE07-07, Jul. 2007.
    • R. Ionutiu, "Model Reduction for descriptor systems with applications to circuit simulation," William Marsh Rice Univ., Houston, TX, Tech. Rep. TREE07-07, Jul. 2007.
  • 25
    • 0142029285 scopus 로고    scopus 로고
    • On some recent developments in projection-based model reduction
    • River Edge, NJ: World Scientific
    • E. Grimme, K. Gallivan, and P. Van Dooren, "On some recent developments in projection-based model reduction," in ENUMATH 97 (Heidelbeig). River Edge, NJ: World Scientific. 1998, pp. 98-113.
    • (1998) ENUMATH 97 (Heidelbeig) , pp. 98-113
    • Grimme, E.1    Gallivan, K.2    Van Dooren, P.3
  • 26
    • 36348973606 scopus 로고    scopus 로고
    • Computation of transfer function dominant zeros with applications to oscillation damping control of large power systems
    • Nov
    • N. Martins, P. Pellanda, and J. Rommes, "Computation of transfer function dominant zeros with applications to oscillation damping control of large power systems," IEEE Trans. Power Syst., vol. 22, no. 4, pp. 1657-1664, Nov. 2007.
    • (2007) IEEE Trans. Power Syst , vol.22 , Issue.4 , pp. 1657-1664
    • Martins, N.1    Pellanda, P.2    Rommes, J.3
  • 27
    • 0003792312 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 28
    • 56749133780 scopus 로고    scopus 로고
    • Passivity preserving model reduction via interpolation of spectral zeros: Selection criteria and implementation,
    • M.S. thesis, William Marsh Rice Univ, Houston, TX, Jun
    • H. D. Nong, "Passivity preserving model reduction via interpolation of spectral zeros: Selection criteria and implementation," M.S. thesis, William Marsh Rice Univ., Houston, TX, Jun. 2007.
    • (2007)
    • Nong, H.D.1
  • 29
    • 34447535436 scopus 로고    scopus 로고
    • A framework for the solution of the generalized realization problem
    • Sep
    • A. Mayo and A. Antoulas, "A framework for the solution of the generalized realization problem." Linear Algebra Appl., vol. 425, no. 2/3, pp. 634-662. Sep. 2007.
    • (2007) Linear Algebra Appl , vol.425 , Issue.2-3 , pp. 634-662
    • Mayo, A.1    Antoulas, A.2
  • 30
    • 56749121672 scopus 로고    scopus 로고
    • Passivity preserving model reduction in the context of spectral zero interpolation,
    • M.S. thesis, William Marsh Rice Univ, Houston, TX, Jun
    • R. Ionutiu, "Passivity preserving model reduction in the context of spectral zero interpolation," M.S. thesis, William Marsh Rice Univ., Houston, TX, Jun. 2008.
    • (2008)
    • Ionutiu, R.1
  • 31
    • 0041410017 scopus 로고    scopus 로고
    • On the iterative solution of a class of nonsymmetric algebraic Riccati equations
    • C.-H. Guo and A. J. Laub, "On the iterative solution of a class of nonsymmetric algebraic Riccati equations," SIAM J. Matrix Anal. Appl., vol. 22, no. 2, pp. 376-391, 2000.
    • (2000) SIAM J. Matrix Anal. Appl , vol.22 , Issue.2 , pp. 376-391
    • Guo, C.-H.1    Laub, A.J.2
  • 32
    • 56749145665 scopus 로고    scopus 로고
    • Passivity-preserving model reduction of differential-algebraic equations in circuit simulation
    • presented at the, Zurich, Switzerland
    • T. Stykel, "Passivity-preserving model reduction of differential-algebraic equations in circuit simulation," presented at the 6th Int. Congr. Industrial and Applied Mathematics (ICIAM), Zurich, Switzerland, 2007.
    • (2007) 6th Int. Congr. Industrial and Applied Mathematics (ICIAM)
    • Stykel, T.1
  • 33
    • 84913254073 scopus 로고
    • A method for simplifying linear dynamic systems
    • Jan
    • E. Davison, "A method for simplifying linear dynamic systems," IEEE Trans. Autom. Control, vol. AC-11, no. 1, pp. 93-101, Jan. 1966.
    • (1966) IEEE Trans. Autom. Control , vol.AC-11 , Issue.1 , pp. 93-101
    • Davison, E.1
  • 34
    • 0001998924 scopus 로고
    • An approximate method for reducing the order of a linear system
    • A. Marschall, "An approximate method for reducing the order of a linear system," Control Eng., vol. 10, pp. 642-648, 1966.
    • (1966) Control Eng , vol.10 , pp. 642-648
    • Marschall, A.1
  • 35
    • 56749087497 scopus 로고    scopus 로고
    • Model order reduction: An advanced, efficient and automated tool for microsystems
    • Applied and Industrial Mathematics in Italy II, Selected Contributions From the 8th SIMAI Confeivnce, V. Cutello, G. Fotia, and L. Puccio, Eds. Singapore: World Scientific
    • T. Bechtold, A. Verhoeven, J. ter Maten, and T. Voss, "Model order reduction: An advanced, efficient and automated tool for microsystems," in Applied and Industrial Mathematics in Italy II, Selected Contributions From the 8th SIMAI Confeivnce, ser. Advances in Mathematics for Applied Sciences, vol. 75, V. Cutello, G. Fotia, and L. Puccio, Eds. Singapore: World Scientific. 2007.
    • (2007) ser. Advances in Mathematics for Applied Sciences , vol.75
    • Bechtold, T.1    Verhoeven, A.2    ter Maten, J.3    Voss, T.4
  • 36
    • 56749140418 scopus 로고    scopus 로고
    • Y. Chahlaoui and P. Van Dooren, A collection of benchmark examples for model reduction of linear time invariant dynamical systems, SLICOT, Bucharest, Romania, SLICOT Working Note 2002-2, 2002. Tech. Rep. [Online]. Available: http://www.icm.tu-bs.de/NICONET/benchmodred.html
    • Y. Chahlaoui and P. Van Dooren, "A collection of benchmark examples for model reduction of linear time invariant dynamical systems," SLICOT, Bucharest, Romania, SLICOT Working Note 2002-2, 2002. Tech. Rep. [Online]. Available: http://www.icm.tu-bs.de/NICONET/benchmodred.html
  • 38
    • 43849108552 scopus 로고    scopus 로고
    • Convergence of the dominant pole algorithm and Rayleigh quotient iteration
    • J. Rommes and G. L. G. Sleijpen, "Convergence of the dominant pole algorithm and Rayleigh quotient iteration," SIAM J. Matrix Anal. Appl., vol. 32, no. 1, pp. 346-363, 2008.
    • (2008) SIAM J. Matrix Anal. Appl , vol.32 , Issue.1 , pp. 346-363
    • Rommes, J.1    Sleijpen, G.L.G.2


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