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Volumn 360, Issue 1, 2008, Pages 103-121

Stabilization of oscillators subject to dry friction: Finite time convergence versus exponential decay results

Author keywords

Convex analysis; Differential inclusion; Dry friction; Exponential decay; Finite time convergence; Nonlinear oscillator

Indexed keywords


EID: 44649132476     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-07-03990-6     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 33747635603 scopus 로고    scopus 로고
    • Finite time stabilization of nonlinear oscillators subject to dry friction
    • (edited by P. Alart, O. Maisonneuve and R.T. Rockafellar) Advances in Mathematics ansd Mechanics, Kluwer . MR2205459 (2006i:70026)
    • S. Adly, H. Attouch and A. Cabot, Finite time stabilization of nonlinear oscillators subject to dry friction, Progresses in Nonsmooth Mechanics and Analysis (edited by P. Alart, O. Maisonneuve and R.T. Rockafellar), Advances in Mathematics and Mechanics, Kluwer, pp. 289-304. MR2205459 (2006i:70026)
    • Progresses in Nonsmooth Mechanics and Analysis , pp. 289-304
    • Adly, S.1    Attouch, H.2    Cabot, A.3
  • 2
    • 0347568273 scopus 로고    scopus 로고
    • A stability theory for second-order nonsmooth dynamical systems with application to friction problems
    • DOI 10.1016/S0021-7824(03)00071-0, PII S0021782403000710
    • S. Adly and D. Goeleven, A stability theory for second order nonsmooth dynamical systems with application to friction problems, Journal de Mathématiques Pures et Appliquées 83 (2004), 17-51. MR2023053 (2004j:34029) (Pubitemid 38065235)
    • (2004) Journal des Mathematiques Pures et Appliquees , vol.83 , Issue.1 , pp. 17-51
    • Adly, S.1    Goeleven, D.2
  • 3
    • 0042890336 scopus 로고    scopus 로고
    • A note on the dynamics of an oscillator in the presence of strong friction
    • MR2007469 (2004g:34046)
    • H. Amann and J. I. Díaz, A note on the dynamics of an oscillator in the presence of strong friction, Nonlinear Analysis 55 (2003), 209-216. MR2007469 (2004g:34046)
    • (2003) Nonlinear Analysis , vol.55 , pp. 209-216
    • Amann, H.1    Díaz, J.I.2
  • 4
    • 23044521290 scopus 로고    scopus 로고
    • The heavy ball with friction method. I The continuous dynamical system
    • MR1753136 (2001b:37025)
    • H. Attouch, X. Goudou and P. Redont, The heavy ball with friction method. I The continuous dynamical system, Communications in Contemporary Math 2 (2000), 1-34. MR1753136 (2001b:37025)
    • (2000) Communications in Contemporary Math , vol.2 , pp. 1-34
    • Attouch, H.1    Goudou, X.2    Redont, P.3
  • 5
    • 35448985862 scopus 로고
    • Mouvement d'une corde vibrante soumise à un frottement solide
    • MR0618890 (82h:73051)
    • A. Bamberger and H. Cabannes, Mouvement d'une corde vibrante soumise à un frottement solide, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), 699-702. MR0618890 (82h:73051)
    • (1981) C. R. Acad. Sci. Paris Sér. I Math. , vol.292 , pp. 699-702
    • Bamberger, A.1    Cabannes, H.2
  • 6
    • 0003282411 scopus 로고
    • Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
    • North Holland, Amsterdam MR0348562 (50:1060)
    • H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, Math. Studies 5, North Holland, Amsterdam (1973). MR0348562 (50:1060)
    • (1973) Math. Studies 5
    • Brézis, H.1
  • 7
  • 8
    • 35448999399 scopus 로고
    • Mouvement d'une corde vibrante soumise à un frottement solide
    • MR0514553 (83m:73056)
    • H. Cabannes, Mouvement d'une corde vibrante soumise à un frottement solide, C. R. Acad. Sci. Paris Sér. A-B 287 (1978), 671-673. MR0514553 (83m:73056)
    • (1978) C. R. Acad. Sci. Paris Sér. A-B , vol.287 , pp. 671-673
    • Cabannes, H.1
  • 9
    • 0019704640 scopus 로고
    • STUDY OF MOTIONS OF A VIBRATING STRING SUBJECT TO SOLID FRICTION.
    • H. Cabannes, Study of motions of a vibrating string subject to solid friction, Math. Methods Appl. Sci. 3 (1981), 287-300. MR0657297 (83e:73049) (Pubitemid 12462880)
    • (1981) Mathematical Methods in the Applied Sciences , vol.3 , Issue.3 , pp. 287-300
    • Cabannes Henri1
  • 10
    • 26144460685 scopus 로고    scopus 로고
    • On the asymptotic behavior of a damped oscillator under a sublinear friction term
    • MR1899359 (2003c:34005)
    • J. I. Díaz and A. Liñán, On the asymptotic behavior of a damped oscillator under a sublinear friction term, Rev. R. Acad. Cien. Serie A. Mat. 95 (2001), 155-160. MR1899359 (2003c:34005)
    • (2001) Rev. R. Acad. Cien. Serie A. Mat. , vol.95 , pp. 155-160
    • Díaz, J.I.1    Linán, A.2
  • 13
    • 0003508788 scopus 로고
    • Second Edition Oxford Applied Mathematics and Computing Science Series The Clarendon Press Oxford University Press New York MR0899734 (89a:34001)
    • D.W. Jordan and P. Smith, Nonlinear ordinary differential equations, Second Edition, Oxford Applied Mathematics and Computing Science Series, The Clarendon Press, Oxford University Press, New York (1987). MR0899734 (89a:34001)
    • (1987) Nonlinear Ordinary Differential Equations
    • Jordan, D.W.1    Smith, P.2
  • 16
    • 0000458726 scopus 로고
    • Une formulation du contact à frottement sec; application au calcul numérique
    • MR0977371 (89k:73008)
    • J.J. Moreau, Une formulation du contact à frottement sec; application au calcul numérique, C. R. Acad. Sci. Paris Sér. II 302 (1986), 799-801. MR0977371 (89k:73008)
    • (1986) C. R. Acad. Sci. Paris Sér. , vol.2 , Issue.302 , pp. 799-801
    • Moreau, J.J.1
  • 17
    • 77950928224 scopus 로고
    • P.D. Panagiotopoulos Inequality problems inMechanics and Applications Birkhaüser Boston MR0896909 (88h:49003)
    • P.D. Panagiotopoulos, Inequality problems inMechanics and Applications, Birkhaüser, Boston (1985). MR0896909 (88h:49003)
    • (1985)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.