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Volumn 58, Issue 5, 2013, Pages 1328-1331

Erratum: A Contraction Approach to the Hierarchical Analysis and Design of Networked Systems (IEEE Trans. Autom. Control (2013) 58: 5 (1328-1331) DOI: 10.1109/TAC.2012.2223355);A contraction approach to the hierarchical analysis and design of networked systems

Author keywords

Contractivity; stability; Contractive systems; hierarchical systems

Indexed keywords

CONTINUOUS TIME SYSTEMS; MATHEMATICAL MODELS;

EID: 84877693252     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.2022.3169895     Document Type: Erratum
Times cited : (92)

References (29)
  • 1
    • 39549095204 scopus 로고    scopus 로고
    • Input to state stability: Basic concepts and results
    • P. Nistri and G. Stefani, Eds. Berlin, Germany: Springer-Verlag
    • E. Sontag, "Input to state stability: Basic concepts and results," in Nonlinear and Optimal Control Theory, P. Nistri and G. Stefani, Eds. Berlin, Germany: Springer-Verlag, 2007, pp. 163-220.
    • (2007) Nonlinear and Optimal Control Theory , pp. 163-220
    • Sontag, E.1
  • 3
    • 77957358333 scopus 로고    scopus 로고
    • Small gain theorems for large scale systems and construction of iss lyapunov functions
    • S. Dashkovskiy, B. Rueffer, and F. Wirth, "Small gain theorems for large scale systems and construction of iss lyapunov functions," SIAM J. Control Optim., vol. 48, pp. 4089-4118, 2010.
    • (2010) SIAM J. Control Optim , vol.48 , pp. 4089-4118
    • Dashkovskiy, S.1    Rueffer, B.2    Wirth, F.3
  • 4
    • 79958287282 scopus 로고    scopus 로고
    • A small-gain condition for interconnections of iss systems with mixed iss characterizations
    • Jun.
    • S. Dashkovskiy, M. Kosmykov, and F.Wirth, "A small-gain condition for interconnections of iss systems with mixed iss characterizations," IEEE Trans. Autom. Control, vol. 56, no. 6, pp. 1247-1258, Jun. 2011.
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.6 , pp. 1247-1258
    • Dashkovskiy, S.1    Kosmykov, M.2    Wirth, F.3
  • 5
    • 0242334021 scopus 로고    scopus 로고
    • Monotone control systems
    • D. Angeli and E. Sontag, "Monotone control systems," IEEE Trans. Autom. Control, vol. 48, no. 10, pp. 1684-1698, 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.10 , pp. 1684-1698
    • Angeli, D.1    Sontag, E.2
  • 6
    • 34548530660 scopus 로고    scopus 로고
    • Monotone and near-monotone biochemical networks
    • DOI 10.1007/s11693-007-9005-9
    • E. Sontag, "Monotone and near-monotone biochemical networks," Syst. Synthetic Biol., vol. 1, pp. 59-87, 2007. (Pubitemid 47384166)
    • (2007) Systems and Synthetic Biology , vol.1 , Issue.2 , pp. 59-87
    • Sontag, E.D.1
  • 9
    • 0017955772 scopus 로고
    • Stability criteria for large-scale systems
    • P.Moylan andD.Hill, "Stability criteria for large-scale systems," IEEE Trans. Autom. Control, vol. AC-23, no. 2, pp. 143-149, 1978.
    • (1978) IEEE Trans. Autom. Control , vol.AC-23 , Issue.2 , pp. 143-149
    • Moylan, P.1    Hill, D.2
  • 10
    • 45949110569 scopus 로고    scopus 로고
    • A passivity-based stability criterion for a class of biochemical reaction networks
    • M. Arcak and E. Sontag, "A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks," Math. Biosci. Eng., vol. 5, pp. 1-19, 2008. (Pubitemid 351890399)
    • (2008) Mathematical Biosciences and Engineering , vol.5 , Issue.1 , pp. 1-19
    • Arcak, M.1    Sontag, E.D.2
  • 11
    • 0032094219 scopus 로고    scopus 로고
    • On contraction analysis for nonlinear systems
    • W. Lohmiller and J. J. E. Slotine, "On contraction analysis for nonlinear systems," Automatica, vol. 34, pp. 683-696, 1998.
    • (1998) Automatica , vol.34 , pp. 683-696
    • Lohmiller, W.1    Slotine, J.J.E.2
  • 14
    • 77950260492 scopus 로고
    • Error estimate for numerical integration of ordinary differential equations. i
    • S. M. Lozinskii, "Error estimate for numerical integration of ordinary differential equations. I," Izv. Vtssh. Uchebn. Zaved. Mat., vol. 5, pp. 222-222, 1959.
    • (1959) Izv. Vtssh. Uchebn. Zaved. Mat , vol.5 , pp. 222-222
    • Lozinskii, S.M.1
  • 15
    • 0016567489 scopus 로고
    • On logarithmic norms
    • T. Strom, "On logarithmic norms," SIAM J. Numer. Anal., vol. 12, pp. 741-753, 1975.
    • (1975) SIAM J. Numer. Anal , vol.12 , pp. 741-753
    • Strom, T.1
  • 16
    • 77954596479 scopus 로고    scopus 로고
    • Global entrainment of transcriptional systems to periodic inputs
    • G. Russo, M. di Bernardo, and E. D. Sontag, "Global entrainment of transcriptional systems to periodic inputs," PLoS Computational Biology, vol. 6, p. E1000739, 2010.
    • (2010) PLoS Computational Biology , vol.6
    • Russo, G.1    Di Bernardo, M.2    Sontag, E.D.3
  • 17
    • 27844596643 scopus 로고    scopus 로고
    • Contraction analysis of non-linear distributed systems
    • DOI 10.1080/00207170500130952
    • W. Lohmiller and J. J. Slotine, "Contraction analysis of non-linear distributed systems," Int. J. Control, vol. 78, pp. 678-688, 2005. (Pubitemid 41657403)
    • (2005) International Journal of Control , vol.78 , Issue.9 , pp. 678-688
    • Lohmiller, W.1    Slotine, J.-J.E.2
  • 18
    • 0012184302 scopus 로고
    • On stability in the large for systems of ordinary differential equations
    • P. Hartman, "On stability in the large for systems of ordinary differential equations," Canadian J. Math., vol. 13, pp. 480-492, 1961.
    • (1961) Canadian J. Math , vol.13 , pp. 480-492
    • Hartman, P.1
  • 19
    • 12244287257 scopus 로고
    • Metric properties of differential equations
    • D. C. Lewis, "Metric properties of differential equations," Amer. J. Math., vol. 71, pp. 294-312, 1949.
    • (1949) Amer. J. Math , vol.71 , pp. 294-312
    • Lewis, D.C.1
  • 20
    • 2642553875 scopus 로고    scopus 로고
    • Convergent dynamics, a tribute to boris pavlovich demidovich
    • A. Pavlov, A. Pogromvsky, N. V. D.Wouv, and H. Nijmeijer, "Convergent dynamics, a tribute to boris pavlovich demidovich," Syst. Control Lett., vol. 52, pp. 257-261, 2004.
    • (2004) Syst. Control Lett , vol.52 , pp. 257-261
    • Pavlov, A.1    Pogromvsky, A.2    Wouv, N.V.D.3    Nijmeijer, H.4
  • 21
    • 0036493650 scopus 로고    scopus 로고
    • A lyapunov approach to incremental stability properties
    • Mar
    • D. Angeli, "A lyapunov approach to incremental stability properties," IEEE Trans. Autom. Control, vol. 47, no. 3, pp. 410-321, Mar. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.3 , pp. 410-321
    • Angeli, D.1
  • 22
    • 33847223052 scopus 로고    scopus 로고
    • Some ancestors of contraction analysis
    • J. Jouffroy, "Some ancestors of contraction analysis," in Proc. Int. Conf. Decision Control, 2005, pp. 5450-5455.
    • (2005) Proc. Int. Conf. Decision Control , pp. 5450-5455
    • Jouffroy, J.1
  • 24
    • 30644470855 scopus 로고    scopus 로고
    • Global exponential stability analysis of Cohen-Grossberg neural networks
    • DOI 10.1109/TCSII.2005.850451
    • H. Lu, "Global exponential stability analysis of cohen-grossber neural networks," IEEE Trans. Circuits Syst. II, vol. 52, no. 8, pp. 476-479, Aug. 2005. (Pubitemid 44356519)
    • (2005) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.52 , Issue.8 , pp. 476-479
    • Lu, H.1
  • 25
    • 51249192747 scopus 로고
    • Mathematical models of threshold phenomena in the nerve membrane
    • R. FitzHugh, "Mathematical models of threshold phenomena in the nerve membrane," Bull. Math. Biophys., vol. 17, pp. 257-278, 1955.
    • (1955) Bull. Math. Biophys , vol.17 , pp. 257-278
    • Fitzhugh, R.1
  • 26
    • 0014108715 scopus 로고
    • Biological rhythms and the behavior of populations of coupled oscillators
    • A. Winfree, "Biological rhythms and the behavior of populations of coupled oscillators," J. Theor. Biol., vol. 16, pp. 15-42, 1967.
    • (1967) J. Theor. Biol , vol.16 , pp. 15-42
    • Winfree, A.1
  • 27
    • 79953143552 scopus 로고    scopus 로고
    • Stability of networked systems: A multi-scale approach using contraction
    • G. Russo, M. di Bernardo, and E. Sontag, "Stability of networked systems: a multi-scale approach using contraction," in Proc. IEEE Conf. Decision Control, 2010, pp. 6559-6564.
    • (2010) Proc. IEEE Conf. Decision Control , pp. 6559-6564
    • Russo, G.1    Di Bernardo, M.2    Sontag, E.3
  • 28
    • 59649130050 scopus 로고    scopus 로고
    • How to synchronize bilogical clocks
    • G. RussoM. di Bernardo, "How to synchronize bilogical clocks," J. Computat. Biol., vol. 16, no. 2, pp. 379-393, 2009.
    • (2009) J. Computat. Biol , vol.16 , Issue.2 , pp. 379-393
    • Russo, G.1    Di Bernardo, M.2
  • 29
    • 62749205064 scopus 로고    scopus 로고
    • Contraction theory andmaster stability function: Linking two approaches to study synchronization of complex networks
    • G. RussoM. di Bernardo, "Contraction theory andmaster stability function: Linking two approaches to study synchronization of complex networks," IEEE Trans. Circuits Syst. II, vol. 56, no. 2, pp. 177-181, 2009.
    • (2009) IEEE Trans. Circuits Syst. II , vol.56 , Issue.2 , pp. 177-181
    • Russo, G.1    Di Bernardo, M.2


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