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Volumn 371, Issue , 2008, Pages 195-204

Passivity-based Stability of Interconnection Structures

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK; SYSTEM STABILITY;

EID: 36849086044     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-84800-155-8_14     Document Type: Article
Times cited : (14)

References (18)
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    • Arcak, M., Sontag, E.: Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Automatica 42(9), 1531-1537 (2006)
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    • Arcak, M., Sontag, E.D.: A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks. Mathematical Biosciences and Engineering (to appear, 2007) (preprint: arxiv0705.3188v1 [q-bio])
    • Arcak, M., Sontag, E.D.: A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks. Mathematical Biosciences and Engineering (to appear, 2007) (preprint: arxiv0705.3188v1 [q-bio])
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    • 30844453401 scopus 로고    scopus 로고
    • Passivity gains and the "secant condition" for stability
    • Sontag, E.D.: Passivity gains and the "secant condition" for stability. Systems Control Lett. 55(3), 177-183 (2006)
    • (2006) Systems Control Lett , vol.55 , Issue.3 , pp. 177-183
    • Sontag, E.D.1
  • 7
    • 0002275384 scopus 로고
    • The dynamics of feedback control circuits in biochemical pathways
    • Rosen, R, Snell, F.M, eds, Academic Press, London
    • Tyson, J. J., Othmer, H.G.: The dynamics of feedback control circuits in biochemical pathways. In: Rosen, R., Snell, F.M. (eds.) Progress in Theoretical Biology, vol. 5, pp. 1-62. Academic Press, London (1978)
    • (1978) Progress in Theoretical Biology , vol.5 , pp. 1-62
    • Tyson, J.J.1    Othmer, H.G.2
  • 8
    • 27244462819 scopus 로고
    • The secant condition for instability in biochemical feedback control - Parts I and II
    • Thron, C.D.: The secant condition for instability in biochemical feedback control - Parts I and II. Bulletin of Mathematical Biology 53, 383-424 (1991)
    • (1991) Bulletin of Mathematical Biology , vol.53 , pp. 383-424
    • Thron, C.D.1
  • 9
    • 0013823048 scopus 로고
    • Oscillatory behavior in enzymatic control processes
    • Goodwin, B.C.: Oscillatory behavior in enzymatic control processes. Adv. Enzyme Reg. 3, 425-439 (1965)
    • (1965) Adv. Enzyme Reg , vol.3 , pp. 425-439
    • Goodwin, B.C.1
  • 10
    • 0002703577 scopus 로고
    • Existence of periodic orbits for negative feedback cellular control systems
    • Hastings, S.P., Tyson, J., Webster, D.: Existence of periodic orbits for negative feedback cellular control systems. Journal of Differential Equations 25(1), 39-64 (1977)
    • (1977) Journal of Differential Equations , vol.25 , Issue.1 , pp. 39-64
    • Hastings, S.P.1    Tyson, J.2    Webster, D.3
  • 11
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    • Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades
    • Kholodenko, B.N.: Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades. Eur. J. Biochem 267, 1583-1588 (2000)
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    • Equilibria and stability analysis of a branched metabolic network with feedback inhibition
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    • Santos, S.D.M., Verveer, P.J., Bastiaens, P.I.H.: Growth factor induced MAPK network topology shapes Erk response determining PC-12 cell fate. Nature Cell Biology 9, 324-330 (2007)
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    • Santos, S.D.M.1    Verveer, P.J.2    Bastiaens, P.I.H.3
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    • Some new directions in control theory inspired by systems biology
    • Sontag, E.D.: Some new directions in control theory inspired by systems biology. IET Systems Biology 1, 9-18 (2004)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.