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Volumn 36, Issue 1, 1998, Pages 148-163

Stabilization of elastic plates with dynamical boundary control

Author keywords

Compact boundary feedback; Hybrid system; Lack of uniform stability; Rational energy decay rate

Indexed keywords

DIFFERENTIAL EQUATIONS; FEEDBACK; SYSTEM STABILITY; THEOREM PROVING;

EID: 0031648497     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996300975     Document Type: Article
Times cited : (52)

References (21)
  • 2
    • 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
  • 4
    • 11644317743 scopus 로고
    • Boundary stabilization of compactly coupled wave equations
    • V. KOMORNIK AND B. RAO, Boundary stabilization of compactly coupled wave equations, C. R. Acad. Sci. Paris Sér. I Math., 320 (1995), pp. 833-838
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.320 , pp. 833-838
    • Komornik, V.1    Rao, B.2
  • 7
    • 34249964146 scopus 로고
    • Asymptotic behavior of solutions to plate equations with nonlinear dissipation occurring through shear forces and bending moments
    • I. LASIECKA, Asymptotic behavior of solutions to plate equations with nonlinear dissipation occurring through shear forces and bending moments, Appl. Math. Optim., 21 (1990), pp. 167-189.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 167-189
    • Lasiecka, I.1
  • 11
    • 0040711585 scopus 로고
    • Some recent results on control and stabilization of flexible structures
    • Montpellier
    • W. LITTMAN AND L. MARKUS, Some recent results on control and stabilization of flexible structures, in Proc. COMCON Workshop, Montpellier, 1987.
    • (1987) Proc. COMCON Workshop
    • Littman, W.1    Markus, L.2
  • 12
    • 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. Mat. Pura Appl., 152 (1988), pp. 281-330.
    • (1988) Ann. Mat. Pura Appl. , vol.152 , pp. 281-330
    • Littman, W.1    Markus, L.2
  • 13
    • 0027623655 scopus 로고
    • Dynamical boundary control for elastical plates of general shape
    • L. MARKUS AND Y. C. YOU, Dynamical boundary control for elastical plates of general shape, SIAM J. Control Optim., 31 (1993), pp. 983-992.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 983-992
    • Markus, L.1    You, Y.C.2
  • 15
    • 0000524818 scopus 로고
    • Decay estimates of solutions for a hybrid system of flexible structures
    • B. 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.1
  • 16
    • 0001273025 scopus 로고
    • Stabilization of Kirchhoff plate equation in star-shaped domain by nonlinear boundary feedback
    • B. RAO, Stabilization of Kirchhoff plate equation in star-shaped domain by nonlinear boundary feedback, Nonlinear Anal., Theory, Meth. Appl., 20 (1993), pp. 605-626.
    • (1993) Nonlinear Anal., Theory, Meth. Appl. , vol.20 , pp. 605-626
    • Rao, B.1
  • 17
    • 0029277752 scopus 로고
    • Uniform stabilization of a hybrid system of elasticity
    • B. 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.1
  • 18
    • 0040836269 scopus 로고
    • Stabilisation d'une équation de plaque par contrôle frontière dynamique
    • B. RAO, Stabilisation d'une équation de plaque par contrôle frontière dynamique, C. R. Acad. Sci. Paris Sér. I Math., 321 (1995), pp. 1449-1454.
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.321 , pp. 1449-1454
    • Rao, B.1
  • 19
    • 0030151210 scopus 로고
    • A compact perturbation method for the boundary stabilization of the Rayleigh beam equation
    • B. RAO, A compact perturbation method for the boundary stabilization of the Rayleigh beam equation, Appl. Math. Optim., 33 (1966), pp. 253-263.
    • (1966) Appl. Math. Optim. , vol.33 , pp. 253-263
    • Rao, B.1
  • 20
    • 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
  • 21
    • 0024862781 scopus 로고
    • Feedback stabilization of a linear system in Hilbert space with an a priori bounded control
    • M. SLEMROD, Feedback stabilization of a linear system in Hilbert space with an a priori bounded control, Math. Control Signals Systems, 2 (1989), pp. 265-285.
    • (1989) Math. Control Signals Systems , vol.2 , pp. 265-285
    • Slemrod, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.