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Volumn 41, Issue 2, 2003, Pages 563-582

Extension of the Perron-Frobenius theorem to homogeneous systems

Author keywords

Cooperative systems; Global asymptotic stability; Homogeneous systems; Monotone flows; Positive systems

Indexed keywords

ASYMPTOTIC STABILITY; EIGENVALUES AND EIGENFUNCTIONS; LINEAR SYSTEMS;

EID: 0037246544     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900361178     Document Type: Article
Times cited : (39)

References (14)
  • 1
    • 0003270351 scopus 로고
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    • SIAM, Philadelphia
    • A. BERMAN AND R. J. PLEMMONS, Nonnegative Matrices in the Mathematical Sciences, Classics in Appl. Math. 9, SIAM, Philadelphia, 1994.
    • (1994) Classics in Appl. Math. , vol.9
    • Berman, A.1    Plemmons, R.J.2
  • 5
    • 0001176145 scopus 로고
    • Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere
    • M. W. HIRSCH, Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere, SIAM J. Math. Anal., 16 (1985), pp. 423-439.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 423-439
    • Hirsch, M.W.1
  • 8
    • 0035706053 scopus 로고    scopus 로고
    • Stability properties of equilibria of classes of cooperative systems
    • P. DE LEENHEER AND D. AEYELS, Stability properties of equilibria of classes of cooperative systems, IEEE Trans. Automatic Control, 46 (2001), pp, 1996-2001.
    • (2001) IEEE Trans. Automatic Control , vol.46 , pp. 1996-2001
    • De Leenheer, P.1    Aeyels, D.2
  • 12
    • 0032683904 scopus 로고    scopus 로고
    • Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying
    • J. PEUTEMAN AND D. AEYELS, Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying, SIAM J. Control Optim., 37 (1999), pp. 997-1010.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 997-1010
    • Peuteman, J.1    Aeyels, D.2
  • 14
    • 0031206775 scopus 로고    scopus 로고
    • Global stabilization of exothermic chemical reactors under input constraints
    • F. VIEL, F. JADOT, AND G. BASTIN, Global stabilization of exothermic chemical reactors under input constraints, Automatica, 33 (1997), pp. 1437-1448.
    • (1997) Automatica , vol.33 , pp. 1437-1448
    • Viel, F.1    Jadot, F.2    Bastin, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.