메뉴 건너뛰기




Volumn 26, Issue 14, 2003, Pages 1223-1240

Uniform stabilization of a one-dimensional hybrid thermo-elastic structure

Author keywords

Decay rate; Fractional powers; Hybrid structure; Lyapunov functional; Thermoelastic beam; Uniform stabilization

Indexed keywords

BENDING (DEFORMATION); LYAPUNOV METHODS;

EID: 0141749376     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.415     Document Type: Article
Times cited : (9)

References (37)
  • 2
    • 38249019438 scopus 로고
    • Existence, uniqueness and asymptotic behaviour of solutions of the non-linear beam equation
    • Pereira DC. Existence, uniqueness and asymptotic behaviour of solutions of the non-linear beam equation. Nonlinear Analysis Theory, Methods and Applications 1990; 14:613-623.
    • (1990) Nonlinear Analysis Theory, Methods and Applications , vol.14 , pp. 613-623
    • Pereira, D.C.1
  • 3
    • 0000060069 scopus 로고
    • Stabilisation du mode©le SCOLE par un Contrôle a priori borné
    • Rao B. Stabilisation du mode©le SCOLE par un Contrôle a priori borné. Comptes Rendus de l'Académie des Sciences Paris 1993; 316:1061-1066.
    • (1993) Comptes Rendus de l'Académie des Sciences Paris , vol.316 , pp. 1061-1066
    • Rao, B.1
  • 4
    • 0141799437 scopus 로고
    • Stabilisation uniforme d'un systéme hybride en élasticité
    • Rao B. Stabilisation uniforme d'un systéme hybride en élasticité. Comptes Rendus de l'Académie des Sciences Paris, 1993; 316:261-266.
    • (1993) Comptes Rendus de l'Académie des Sciences Paris , vol.316 , pp. 261-266
    • Rao, B.1
  • 5
    • 0040212379 scopus 로고
    • Regular solutions of a non-linear model for vibrations of beams in unbounded domains
    • Cousin AT. Regular solutions of a non-linear model for vibrations of beams in unbounded domains. Nonlinear Analysis Theory, Methods and Applications 1994; 27(9): 1153-1162.
    • (1994) Nonlinear Analysis Theory, Methods and Applications , vol.27 , Issue.9 , pp. 1153-1162
    • Cousin, A.T.1
  • 8
    • 0141576194 scopus 로고
    • On the solvability of the boundary-value problem for the elastic beam with attached load
    • Grobbelaar-Van Dalsen M. On the solvability of the boundary-value problem for the elastic beam with attached load. Mathematical Models and Methods in Applied Sciences 1994; 4:89-105.
    • (1994) Mathematical Models and Methods in Applied Sciences , vol.4 , pp. 89-105
    • Grobbelaar-Van Dalsen, M.1
  • 9
    • 0030211855 scopus 로고    scopus 로고
    • On the initial-boundary-value problem for an extensible beam with attached load
    • Grobbelaar-Van Dalsen M. On the initial-boundary-value problem for an extensible beam with attached load. Mathematical Models and Applied Science 1996; 19:943-957.
    • (1996) Mathematical Models and Applied Science , vol.19 , pp. 943-957
    • Grobbelaar-Van Dalsen, M.1
  • 11
    • 0029378438 scopus 로고
    • Exact controllability and stabilization of a vibrating string with an interior point mass
    • Hansen SW, Zuazua E. Exact controllability and stabilization of a vibrating string with an interior point mass. SIAM Journal on Control and Optimization 1995; 33:1357-1391.
    • (1995) SIAM Journal on Control and Optimization , vol.33 , pp. 1357-1391
    • Hansen, S.W.1    Zuazua, E.2
  • 14
    • 0034380571 scopus 로고    scopus 로고
    • Analyticity, hyperbolicity and uniform stability of semigroups arising in models of composite beams
    • Hansen SW, Lasiecka I. Analyticity, hyperbolicity and uniform stability of semigroups arising in models of composite beams. Mathematical Models and Methods in Applied Sciences 2000; 10:555-580.
    • (2000) Mathematical Models and Methods in Applied Sciences , vol.10 , pp. 555-580
    • Hansen, S.W.1    Lasiecka, I.2
  • 16
    • 0030191616 scopus 로고    scopus 로고
    • Non-linear boundary stabilization of parallely connected plates
    • Horn MA, Lasiecka I. Non-linear boundary stabilization of parallely connected plates. Dynamics and Control 1996; 6:263-292.
    • (1996) Dynamics and Control , vol.6 , pp. 263-292
    • Horn, M.A.1    Lasiecka, I.2
  • 19
    • 38249011584 scopus 로고
    • Pointwise boundary stabilizability of hyperbolic evolution equations: Two-dimensional hybrid elastic structures
    • You Y. Pointwise boundary stabilizability of hyperbolic evolution equations: two-dimensional hybrid elastic structures. Journal of Mathematical Analysis and Applications 1992; 165:239-265.
    • (1992) Journal of Mathematical Analysis and Applications , vol.165 , pp. 239-265
    • You, Y.1
  • 21
    • 85137266922 scopus 로고
    • The effect of axial force on the vibration of hinged bars
    • Woinowsky-Krieger S. The effect of axial force on the vibration of hinged bars. Journal of Applied Mechanics 1950; 17:35-36.
    • (1950) Journal of Applied Mechanics , vol.17 , pp. 35-36
    • Woinowsky-Krieger, S.1
  • 23
    • 0001040417 scopus 로고
    • Uniform stabilization of a non-linear beam by non-linear boundary feedback
    • Lagnese JE, Leugering G. Uniform stabilization of a non-linear beam by non-linear boundary feedback. Journal of Differential Equations 1991; 91:355-388.
    • (1991) Journal of Differential Equations , vol.91 , pp. 355-388
    • Lagnese, J.E.1    Leugering, G.2
  • 24
    • 0008023886 scopus 로고    scopus 로고
    • On fractional powers of a pair of matrices and a plate-beam problem
    • Grobbelaar-Van Dalsen M. On fractional powers of a pair of matrices and a plate-beam problem. Applicable Analysis 1999; 72(3-4):369-390.
    • (1999) Applicable Analysis , vol.72 , Issue.3-4 , pp. 369-390
    • Grobbelaar-Van Dalsen, M.1
  • 29
    • 0002486767 scopus 로고
    • Global classical solutions of non-linear wave equations
    • Brenner P, von Wahl W. Global classical solutions of non-linear wave equations. Mathematische Zeitschrift 1981; 176:87-121.
    • (1981) Mathematische Zeitschrift , vol.176 , pp. 87-121
    • Brenner, P.1    Von Wahl, W.2
  • 31
    • 0000027806 scopus 로고
    • On the positive square root of the fourth derivative operator
    • 751-773
    • Russell DL. On the positive square root of the fourth derivative operator. Quarterly of Applied Mathematics 1988; XLVI(4)(751-773).
    • (1988) Quarterly of Applied Mathematics , vol.46 , Issue.4
    • Russell, D.L.1
  • 36
    • 0141464559 scopus 로고
    • Eigenvalue problems with the spectral parameter also in the boundary condition
    • Sauer N, Van Der Merwe A. Eigenvalue problems with the spectral parameter also in the boundary condition. Quaestiones Mathematica 1982; 5:1-27.
    • (1982) Quaestiones Mathematica , vol.5 , pp. 1-27
    • Sauer, N.1    Van Der Merwe, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.