메뉴 건너뛰기




Volumn 36, Issue 5, 1998, Pages 1576-1595

Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass

Author keywords

Asymmetric spaces; Controllability; Flexible beams; Fourier series; Point mass

Indexed keywords

ASYMPTOTIC STABILITY; BEAMS AND GIRDERS; BOUNDARY CONDITIONS; CONTROL THEORY; FUNCTIONS; LINEAR CONTROL SYSTEMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

EID: 0032164347     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012997316378     Document Type: Article
Times cited : (48)

References (11)
  • 1
    • 84996136385 scopus 로고    scopus 로고
    • Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass
    • C. CASTRO, Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass, European Ser. Appl. Indust. Math. Control Optim. Calc. Var. (ESAIM COCV), 2 (1997), pp. 231-280, also available online from http://www.emath.fr/cocv/.
    • (1997) European Ser. Appl. Indust. Math. Control Optim. Calc. Var. (ESAIM COCV) , vol.2 , pp. 231-280
    • Castro, C.1
  • 2
    • 0007256819 scopus 로고    scopus 로고
    • Analyse spectrale et contrôle d'un système hybride composé de deux poutres connectées par une masse ponctuelle
    • C. CASTRO AND E. ZUAZUA, Analyse spectrale et contrôle d'un système hybride composé de deux poutres connectées par une masse ponctuelle, C. R. Acad. Sci. Paris, Sér. I, 322 (1996), pp. 351-356.
    • (1996) C. R. Acad. Sci. Paris, Sér. I , vol.322 , pp. 351-356
    • Castro, C.1    Zuazua, E.2
  • 3
    • 0000362749 scopus 로고    scopus 로고
    • Une remarque sur les séries de Fourier non-harmoniques et son application à la contrôlabilité des cordes avec densité singulière
    • C. CASTRO AND E. ZUAZUA, Une remarque sur les séries de Fourier non-harmoniques et son application à la contrôlabilité des cordes avec densité singulière, C. R. Acad. Sci. Paris, Sér. I, 323 (1996), pp. 365-370.
    • (1996) C. R. Acad. Sci. Paris, Sér. I , vol.323 , pp. 365-370
    • Castro, C.1    Zuazua, E.2
  • 4
    • 0007264639 scopus 로고    scopus 로고
    • A hybrid system consisting of two flexible beams connected by a point mass: Spectral analysis and well-posedness in asymmetric spaces
    • C. CASTRO AND E. ZUAZUA, A hybrid system consisting of two flexible beams connected by a point mass: Spectral analysis and well-posedness in asymmetric spaces, in Elasticité, Viscoélasticité et Contrôle Optimal: ESAIM Proc., 2 (1997), pp. 17-53, also available online from http://www.emath.fr/proc/Vol.2/.
    • (1997) Elasticité, Viscoélasticité et Contrôle Optimal: ESAIM Proc. , vol.2 , pp. 17-53
    • Castro, C.1    Zuazua, E.2
  • 5
    • 85034469859 scopus 로고    scopus 로고
    • Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass
    • to appear
    • C. CASTRO AND E. ZUAZUA, Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass, Math. Comput. Modelling, to appear.
    • Math. Comput. Modelling
    • Castro, C.1    Zuazua, E.2
  • 6
    • 0029378438 scopus 로고
    • Exact controllability and stabilization of a vibrating string with an interior point mass
    • S. HANSEN AND E. ZUAZUA, Exact controllability and stabilization of a vibrating string with an interior point mass, SIAM J. Control Optim., 33 (1995), pp. 1357-1391.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1357-1391
    • Hansen, S.1    Zuazua, E.2
  • 7
    • 0003369598 scopus 로고
    • Modelling, Analysis and Control of Thin Plates
    • Masson, Paris
    • J. E. LAGNESE AND J.-L. LIONS, Modelling, Analysis and Control of Thin Plates, Research in Applied Math. 6, Masson, Paris, 1988.
    • (1988) Research in Applied Math. , vol.6
    • Lagnese, J.E.1    Lions, J.-L.2
  • 8
    • 4344666628 scopus 로고
    • Contrôlabilité exacte, stabilisation et perturbations de systèmes distribués. Tome 1. Contrôlabilité exacte
    • Masson, Paris
    • J.-L. LIONS, Contrôlabilité exacte, stabilisation et perturbations de systèmes distribués. Tome 1. Contrôlabilité exacte, Research in Applied Math. 8, Masson, Paris, 1988.
    • (1988) Research in Applied Math. , vol.8
    • Lions, J.-L.1
  • 9
    • 1542609725 scopus 로고
    • Exact boundary controllability of a beam and mass system
    • K. L. Bowers and J. Land, eds., Birkhauser, Boston
    • S. W. TAYLOR, Exact boundary controllability of a beam and mass system, in Computation and Control IV, Prog. Systems Control Theory 20, K. L. Bowers and J. Land, eds., Birkhauser, Boston, 1995, pp. 305-321.
    • (1995) Computation and Control IV, Prog. Systems Control Theory , vol.20 , pp. 305-321
    • Taylor, S.W.1
  • 10
    • 84966260633 scopus 로고
    • Divided differences and systems of nonharmonic Fourier series
    • D. ULRICH, Divided differences and systems of nonharmonic Fourier series, Proc. Amer. Math. Soc., 80 (1980), pp. 47-57.
    • (1980) Proc. Amer. Math. Soc. , vol.80 , pp. 47-57
    • Ulrich, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.