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Volumn 20, Issue 5, 2007, Pages 1077-1093

A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics

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EID: 34249308849     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/20/5/002     Document Type: Article
Times cited : (8)

References (23)
  • 4
    • 0035283909 scopus 로고    scopus 로고
    • Lyapunov stability using minimum distance control
    • Barron E N and Jensen R 2001 Lyapunov stability using minimum distance control Nonlin. Anal. 43 923-36
    • (2001) Nonlin. Anal. , vol.43 , Issue.7 , pp. 923-936
    • Barron, E.N.1    Jensen, R.2
  • 6
    • 0036105218 scopus 로고    scopus 로고
    • A generalization of Zubov's method to perturbed systems
    • Camilli F, Grüne L and Wirth F 2001 A generalization of Zubov's method to perturbed systems SIAM J. Control Optim. 40 496-515
    • (2001) SIAM J. Control Optim. , vol.40 , Issue.2 , pp. 496-515
    • Camilli, F.1    Grüne, L.2    Wirth, F.3
  • 9
    • 0002239179 scopus 로고    scopus 로고
    • Asymptotic stability and smooth Lyapunov functions
    • Clarke F H, Ledyaev Y S and Stern R J 1998 Asymptotic stability and smooth Lyapunov functions J. Diff. Eqns 149 69-114
    • (1998) J. Diff. Eqns , vol.149 , Issue.1 , pp. 69-114
    • Clarke, F.H.1    Ledyaev, Y.S.2    Stern, R.J.3
  • 10
    • 0031536779 scopus 로고    scopus 로고
    • Partitions of unity for countable covers
    • Fathi A 1997 Partitions of unity for countable covers Am. Math. Mon. 104 720-3
    • (1997) Am. Math. Mon. , vol.104 , Issue.8 , pp. 720-723
    • Fathi, A.1
  • 11
    • 0842346770 scopus 로고    scopus 로고
    • 1 critical subsolution of the Hamilton-Jacobi equation
    • 1 critical subsolution of the Hamilton-Jacobi equation Invent. Math. 155 363-388
    • (2004) Invent. Math. , vol.155 , Issue.2 , pp. 363-388
    • Fathi, A.1    Siconolfi, A.2
  • 12
    • 11944264666 scopus 로고    scopus 로고
    • PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
    • Fathi A and Siconolfi A 2005 PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians Calc. Var. Partial Diff. Eqns 22 185-228
    • (2005) Calc. Var. Partial Diff. Eqns , vol.22 , pp. 185-228
    • Fathi, A.1    Siconolfi, A.2
  • 13
    • 34249276888 scopus 로고
    • On the inversion of Ljapunov's second theorem on stability of motion
    • Kurzweil J 1963 On the inversion of Ljapunov's second theorem on stability of motion Czech. Math. J. 6 217-59
    • (1963) Czech. Math. J. , vol.6 , pp. 217-259
    • Kurzweil, J.1
  • 14
    • 34249276888 scopus 로고
    • On the inversion of Ljapunov's second theorem on stability of motion
    • Kurzweil J 1963 On the inversion of Ljapunov's second theorem on stability of motion Czech. Math. J. 6 455-84
    • (1963) Czech. Math. J. , vol.6 , pp. 455-484
    • Kurzweil, J.1
  • 15
    • 0002585302 scopus 로고
    • On the inversion of Ljapunov's second theorem on stability of motion
    • Kurzweil J 1963 On the inversion of Ljapunov's second theorem on stability of motion Am. Math. Soc., Transl., II. 24 19-77
    • (1963) Am. Math. Soc., Transl., II. , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 16
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Lin Y, Sontag E D and Wang Y 1996 A smooth converse Lyapunov theorem for robust stability SIAM J. Control Optim. 34 124-60
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.1 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 17
    • 0000643682 scopus 로고
    • On Liapunoff's conditions of stability
    • Massera J L 1949 On Liapunoff's conditions of stability Ann. Math. 50 705-21
    • (1949) Ann. Math. , vol.50 , Issue.3 , pp. 705-721
    • Massera, J.L.1
  • 18
    • 0034433016 scopus 로고    scopus 로고
    • Existence of Lipschitz and semiconcave control-Lyapunov functions
    • Rifford L 2000 Existence of Lipschitz and semiconcave control-Lyapunov functions SIAM J. Control Optim. 39 1043-64
    • (2000) SIAM J. Control Optim. , vol.39 , Issue.4 , pp. 1043-1064
    • Rifford, L.1
  • 19
    • 0035690672 scopus 로고    scopus 로고
    • On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
    • Rifford L 2001 On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients ESAIM Control Optim. Calc. Var. 6 593-611
    • (2001) ESAIM Control Optim. Calc. Var. , vol.6 , pp. 593-611
    • Rifford, L.1
  • 20
    • 0037407041 scopus 로고    scopus 로고
    • Metric character of Hamilton-Jacobi equations
    • Siconolfi A 2003 metric character of Hamilton-Jacobi equations Trans. Am. Math. Soc. 355 1987-2009
    • (2003) Trans. Am. Math. Soc. , vol.355 , Issue.5 , pp. 1987-2009
    • Siconolfi, A.1
  • 21
    • 0034426073 scopus 로고    scopus 로고
    • Smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
    • Teel A R and Praly L A 2000 smooth Lyapunov function from a class- estimate involving two positive semidefinite functions ESAIM Control Optim. Calc. Var. 5 313-67
    • (2000) ESAIM Control Optim. Calc. Var. , vol.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.A.2
  • 22
    • 34249296845 scopus 로고    scopus 로고
    • Terrone G 2004 Stabilizzazione di Sistemi Controllati e Insieme di Aubry Master Thesis Università degli Studi di Roma 'La Sapienza'
    • (2004) Master Thesis
    • Terrone, G.1
  • 23
    • 84968514083 scopus 로고
    • Smoothing derivatives of functions and applications
    • Wilson F W Jr 1969 Smoothing derivatives of functions and applications Trans. Am. Math. Soc. 139 413-28
    • (1969) Trans. Am. Math. Soc. , vol.139 , pp. 413-428
    • Wilson, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.