메뉴 건너뛰기




Volumn 24, Issue 1, 2005, Pages 202-219

Nonlinear systems - Algebraic gramians and model reduction

Author keywords

Linear algebra; Mathematical modelling; Non linear control systems; Simulation

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; LINEAR ALGEBRA; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; PRODUCT DESIGN;

EID: 18844413336     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321640510571147     Document Type: Article
Times cited : (31)

References (30)
  • 4
    • 0010011201 scopus 로고    scopus 로고
    • A survey of model reduction methods for large-scale systems
    • AMS Publications New York, NY
    • Antoulas, A.C., Sorensen, D.C. and Gugercin, S. (2001), "A survey of model reduction methods for large-scale systems", Contemporary Mathematics, Vol. 280, AMS Publications, New York, NY, pp. 193-219.
    • (2001) Contemporary Mathematics , vol.280 , pp. 193-219
    • Antoulas, A.C.1    Sorensen, D.C.2    Gugercin, S.3
  • 5
    • 0036776433 scopus 로고    scopus 로고
    • Krylov subspace techniques for reduced-order modeling of large scale dynamical systems
    • Bai, Z. (2002), "Krylov subspace techniques for reduced-order modeling of large scale dynamical systems", Applied Numerical Mathematics, Vol. 43, pp. 9-44.
    • (2002) Applied Numerical Mathematics , vol.43 , pp. 9-44
    • Bai, Z.1
  • 7
    • 6344220018 scopus 로고    scopus 로고
    • Int. Conf. on Modelling and Simulation of Microsystems Semiconductors, Sensors and Actuators, San Diego, CA
    • Chen, Y. and White, J. (2000), "A quadratic method for nonlinear model order reduction", Int. Conf. on Modelling and Simulation of Microsystems Semiconductors, Sensors and Actuators, San Diego, CA.
    • (2000) A Quadratic Method for Nonlinear Model Order Reduction
    • Chen, Y.1    White, J.2
  • 8
    • 0000832841 scopus 로고
    • Realization and structure theory of bilinear dynamical systems
    • D'alessandro, P., Isidori, A. and Ruberti, A. (1974), "Realization and structure theory of bilinear dynamical systems", SIAM J. Control, Vol. 12, pp. 517-35.
    • (1974) SIAM J. Control , vol.12 , pp. 517-535
    • D'Alessandro, P.1    Isidori, A.2    Ruberti, A.3
  • 10
    • 0344166129 scopus 로고    scopus 로고
    • Model reduction of large-scale systems: Rational Krylov versus balancing techniques
    • Bulgak Zenger C-536
    • Gallivan, K., Grimme, E. and Van Dooren, P. (1999), "Model reduction of large-scale systems: rational Krylov versus balancing techniques", in Bulgak and Zenger (Eds), Error Control and Adaptivity in Scientific Computing, C-536, pp. 177-90.
    • (1999) Error Control and Adaptivity in Scientific Computing , pp. 177-190
    • Gallivan, K.1    Grimme, E.2    Van Dooren, P.3
  • 14
    • 0002755062 scopus 로고    scopus 로고
    • Observability functions for linear and nonlinear systems
    • Gray, W.S. and Mesko, J. (1999), "Observability functions for linear and nonlinear systems", Systems and Control Letters, Vol. 38 No. 2, pp. 99-113.
    • (1999) Systems and Control Letters , vol.38 , Issue.2 , pp. 99-113
    • Gray, W.S.1    Mesko, J.2
  • 15
    • 0035940637 scopus 로고    scopus 로고
    • On the nonuniqueness of singular value functions and balanced nonlinear realizations
    • Gray, W.S. and Scherpen, J.M.A. (2001), "On the nonuniqueness of singular value functions and balanced nonlinear realizations", Systems & Control Letters, Vol. 44 No. 3, pp. 219-32.
    • (2001) Systems & Control Letters , vol.44 , Issue.3 , pp. 219-232
    • Gray, W.S.1    Scherpen, J.M.A.2
  • 16
    • 0036566376 scopus 로고    scopus 로고
    • A subspace approach to balanced truncation for model reduction of nonlinear control systems
    • Lall, S., Marsden, J.E. and Glavaški, S. (2002), "A subspace approach to balanced truncation for model reduction of nonlinear control systems", International Journal of Robust and Nonlinear Control, Vol. 12, pp. 519-35.
    • (2002) International Journal of Robust and Nonlinear Control , vol.12 , pp. 519-535
    • Lall, S.1    Marsden, J.E.2    Glavaški, S.3
  • 17
    • 0001239247 scopus 로고    scopus 로고
    • Unified approach to Hamiltonian systems, Poisson Systems, gradient systems and systems with Lyapunov functions or First Integrals
    • McLachlan, R.I., Quispel, G.R.W. and Robidoux, N. (1998), "Unified approach to Hamiltonian systems, Poisson Systems, gradient systems and systems with Lyapunov functions or First Integrals", Physical Review Letters, Vol. 81 No. 12, pp. 2399-403.
    • (1998) Physical Review Letters , vol.81 , Issue.12 , pp. 2399-2403
    • McLachlan, R.I.1    Quispel, G.R.W.2    Robidoux, N.3
  • 18
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability and model reduction
    • Moore, B. (1981), "Principal component analysis in linear systems: controllability, observability and model reduction", IEEE Trans. on Automatic Control, Vol. AC-26 No. 1, pp. 17-31.
    • (1981) IEEE Trans. on Automatic Control , vol.AC-26 , Issue.1 , pp. 17-31
    • Moore, B.1
  • 19
    • 18844451567 scopus 로고    scopus 로고
    • Proceedings of the 32nd Conference on Information Sciences and Systems, Princeton, NJ, 18-20 March 1998 (also Technical Report, T.R. 98-42, Institute for Systems Research, University of Maryland, August 1998)
    • Newman, A.J. and Krishnaprasad, P.S. (1998), "Nonlinear model reduction for RTCVD", Proceedings of the 32nd Conference on Information Sciences and Systems, Princeton, NJ, 18-20 March 1998 (also Technical Report, T.R. 98-42, Institute for Systems Research, University of Maryland, August 1998).
    • (1998) Nonlinear Model Reduction for RTCVD
    • Newman, A.J.1    Krishnaprasad, P.S.2
  • 24
    • 0037322638 scopus 로고    scopus 로고
    • A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices
    • Rewienski, M. and White, J. (2003), "A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices", IEEE Transactions on Computer-aided Design of Integrated Circuits and Systems, Vol. 22 No. 2, pp. 155-70.
    • (2003) IEEE Transactions on Computer-aided Design of Integrated Circuits and Systems , vol.22 , Issue.2 , pp. 155-170
    • Rewienski, M.1    White, J.2
  • 25
    • 0019069037 scopus 로고
    • Linear model reduction and solution of the algebraic Ricatti equation by use of the sign function
    • (Reprint of Technical Report No. TR-13, CUED/B-Control, Engineering Department, Cambridge University, 1971)
    • Roberts, J.D. (1980), "Linear model reduction and solution of the algebraic Ricatti equation by use of the sign function", Int. J. Control, Vol. 32, pp. 677-87, (Reprint of Technical Report No. TR-13, CUED/B-Control, Engineering Department, Cambridge University, 1971).
    • (1980) Int. J. Control , vol.32 , pp. 677-687
    • Roberts, J.D.1
  • 26
    • 0003553624 scopus 로고
    • The John Hopkins University Press Baltimore, MD
    • Rugh, W. (1981), Nonlinear System Theory, The John Hopkins University Press, Baltimore, MD.
    • (1981) Nonlinear System Theory
    • Rugh, W.1
  • 27
    • 0027641967 scopus 로고
    • Balancing of nonlinear systems
    • Scherpen, J.M.A. (1993), "Balancing of nonlinear systems", Systems & Control Letters, Vol. 21, pp. 143-53.
    • (1993) Systems & Control Letters , vol.21 , pp. 143-153
    • Scherpen, J.M.A.1
  • 28
    • 0004279650 scopus 로고
    • Balancing of nonlinear systems
    • University of Twente, Enschede The Netherlands
    • Scherpen, J.M.A. (1994), "Balancing of nonlinear systems", Dissertation, Systems and Control Group, University of Twente, Enschede, The Netherlands.
    • (1994) Dissertation, Systems and Control Group
    • Scherpen, J.M.A.1
  • 29
    • 0002700172 scopus 로고    scopus 로고
    • Gramian based model reduction of large-scale dynamical systems
    • Research notes in mathematics, Vol 420 CRC Press, LLC Bocaraton, FL
    • Van Dooren, P. (2000), "Gramian based model reduction of large-scale dynamical systems", Numerical Analysis 1999, Research notes in mathematics, Vol 420, CRC Press, LLC:Bocaraton, FL, pp. 231-47.
    • (2000) Numerical Analysis 1999 , pp. 231-247
    • Van Dooren, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.