메뉴 건너뛰기




Volumn 36, Issue 6, 1998, Pages 1962-1986

On the stabilization of a flexible beam with a tip mass

Author keywords

Boundary control; Flexible structures; Infinite dimensional systems; Semigroup theory; Stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FEEDBACK; MATHEMATICAL MODELS; STABILIZATION;

EID: 0032204080     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996302366     Document Type: Article
Times cited : (153)

References (20)
  • 1
    • 0026221689 scopus 로고
    • Compensator design for stability enhancement with collocated controllers
    • A. V. BALAKRISHNAN, Compensator design for stability enhancement with collocated controllers, IEEE Trans. Automat. Control, 36 (1991), pp. 994-1008.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 994-1008
    • Balakrishnan, A.V.1
  • 2
    • 0025505413 scopus 로고
    • The wave propagation method for the analysis of boundary stabilization of vibrating structures
    • G. CHEN AND J. ZHOU, The wave propagation method for the analysis of boundary stabilization of vibrating structures, SIAM J. Appl. Math., 50 (1990), pp. 1254-1283.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1254-1283
    • Chen, G.1    Zhou, J.2
  • 3
    • 0002980640 scopus 로고
    • The Euler-Bernoulli beam equation with boundary energy dissipation
    • S. J. Lee, ed., Marcell-Dekker, New York
    • G. CHEN, S. G. KRANTZ, D. W. MA, C. E. WAYNE, AND H. H. WEST, The Euler-Bernoulli beam equation with boundary energy dissipation, in Operator Methods for Optimal Control Problems, S. J. Lee, ed., Marcell-Dekker, New York, 1987, pp. 67-96.
    • (1987) Operator Methods for Optimal Control Problems , pp. 67-96
    • Chen, G.1    Krantz, S.G.2    Ma, D.W.3    Wayne, C.E.4    West, H.H.5
  • 4
    • 0025399165 scopus 로고
    • Stabilization of beams by pointwise feedback control
    • F. CONRAD, Stabilization of beams by pointwise feedback control, SIAM J. Control Optim., 28 (1990), pp. 423-438.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 423-438
    • Conrad, F.1
  • 6
    • 0000023357 scopus 로고
    • A note on stabilization of infinite dimensional linear oscillators by compact linear feedback
    • J. S. GIBSON, A note on stabilization of infinite dimensional linear oscillators by compact linear feedback, SIAM J. Control Optim., 18 (1980), pp. 311-316.
    • (1980) SIAM J. Control Optim. , vol.18 , pp. 311-316
    • Gibson, J.S.1
  • 7
    • 0038756007 scopus 로고
    • Introduction to the Theory of Nonselfadjoint Operators
    • AMS, Providence, RI
    • I. C. GOHBERG AND M. G. KREIN, Introduction to the Theory of Nonselfadjoint Operators, Trans. Math. Monogr. 18, AMS, Providence, RI, 1969.
    • (1969) Trans. Math. Monogr. , vol.18
    • Gohberg, I.C.1    Krein, M.G.2
  • 9
    • 0002616259 scopus 로고
    • Stabilization of a hybrid system of elasticity by feedback boundary damping
    • W. LITTMAN AND L. MARKUS, Stabilization of a hybrid system of elasticity by feedback boundary damping, Ann. di Mat. Pura ed Appl., 152 (1988), pp. 281-330.
    • (1988) Ann. Di Mat. Pura Ed Appl. , vol.152 , pp. 281-330
    • Littman, W.1    Markus, L.2
  • 10
  • 13
    • 0141799437 scopus 로고
    • Stabilization uniforme d'un système hybride en élasticité
    • B. P. RAO, Stabilization uniforme d'un système hybride en élasticité, C. R. Acad. Sci. Paris Sér. I Math, 316 (1993), pp. 261-266.
    • (1993) C. R. Acad. Sci. Paris Sér. i Math , vol.316 , pp. 261-266
    • Rao, B.P.1
  • 14
    • 0029277752 scopus 로고
    • Uniform stabilization of a hybrid system of elasticity
    • B. P. RAO, Uniform stabilization of a hybrid system of elasticity, SIAM J. Control Optim., 33 (1995), pp. 440-454.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 440-454
    • Rao, B.P.1
  • 15
    • 0000524818 scopus 로고
    • Decay estimates of solutions for a hybrid system of flexible structures
    • B. P. RAO, Decay estimates of solutions for a hybrid system of flexible structures, European J. Appl. Math., 4 (1993), pp. 303-319.
    • (1993) European J. Appl. Math. , vol.4 , pp. 303-319
    • Rao, B.P.1
  • 17
    • 49549146426 scopus 로고
    • Decay rates for weakly damped systems in Hilbert space obtained with control theoretic methods
    • D. L. RUSSELL, Decay rates for weakly damped systems in Hilbert space obtained with control theoretic methods, J. Differential Equations, 19 (1975), pp. 344-370.
    • (1975) J. Differential Equations , vol.19 , pp. 344-370
    • Russell, D.L.1
  • 20
    • 84966209685 scopus 로고
    • Lack of uniform stabilization for noncontractive semigroups under compact perturbation
    • R. TRIGGIANI, Lack of uniform stabilization for noncontractive semigroups under compact perturbation, Proc. Amer. Math. Soc., 105 (1989), pp. 375-383.
    • (1989) Proc. Amer. Math. Soc. , vol.105 , pp. 375-383
    • Triggiani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.