메뉴 건너뛰기




Volumn 49, Issue 1-2, 2009, Pages 46-54

Stability treatments of wave system in ℜn with coupling controllers via energy functional and decomposition methods

Author keywords

Adomian aftertreatment; Adomian decomposition method; Pad approximation; Perturbation method; Stability; Wave equations

Indexed keywords

OPERATIONS RESEARCH; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

EID: 55549121557     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.07.006     Document Type: Article
Times cited : (8)

References (15)
  • 1
    • 84976155603 scopus 로고
    • Asymptotic stability, and energy decay rates for solutions of hyperbolic equations with boundary damping
    • Quinn J.P., and Russel D.L. Asymptotic stability, and energy decay rates for solutions of hyperbolic equations with boundary damping. Proc. Roy. Soc. Edinburgh Sect. A. 77 (1977) 97-127
    • (1977) Proc. Roy. Soc. Edinburgh Sect. A. , vol.77 , pp. 97-127
    • Quinn, J.P.1    Russel, D.L.2
  • 3
    • 0001885577 scopus 로고
    • A direct method for the boundary stabilization of the wave equation
    • Komornik V., and Zuazua E. A direct method for the boundary stabilization of the wave equation. J. Math. Pures Appl. 69 (1990) 33-54
    • (1990) J. Math. Pures Appl. , vol.69 , pp. 33-54
    • Komornik, V.1    Zuazua, E.2
  • 4
    • 55249112560 scopus 로고    scopus 로고
    • Study of exponential stability of coupled wave system via distributed stabilizer
    • Najafi M. Study of exponential stability of coupled wave system via distributed stabilizer. Int. J. Math. Math. Sci. (2001) 479-491
    • (2001) Int. J. Math. Math. Sci. , pp. 479-491
    • Najafi, M.1
  • 5
    • 0031233845 scopus 로고    scopus 로고
    • Stabilizability of coupled wave equation in parallel under various boundary conditions
    • Najafi M., Sarhangi G.R., and Wang H. Stabilizability of coupled wave equation in parallel under various boundary conditions. IEEE Trans. Automat. Control 42 (1997) 1308-1312
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 1308-1312
    • Najafi, M.1    Sarhangi, G.R.2    Wang, H.3
  • 6
    • 0031145532 scopus 로고    scopus 로고
    • Distributed and boundary control for a parallel system of Euler-Bernoulli beams
    • Najafi M., Sarhangi R., and Oloomi H. Distributed and boundary control for a parallel system of Euler-Bernoulli beams. J. Vib. Control 3 2 (1997) 183-199
    • (1997) J. Vib. Control , vol.3 , Issue.2 , pp. 183-199
    • Najafi, M.1    Sarhangi, R.2    Oloomi, H.3
  • 7
    • 0023344449 scopus 로고
    • Modeling, stabilization and control of serially connected beams
    • Chen G., Delfour M.C., Krall A.M., and Payre G. Modeling, stabilization and control of serially connected beams. SIAM J. Control Optim. 25 3 (1987) 526-546
    • (1987) SIAM J. Control Optim. , vol.25 , Issue.3 , pp. 526-546
    • Chen, G.1    Delfour, M.C.2    Krall, A.M.3    Payre, G.4
  • 8
    • 55549091136 scopus 로고    scopus 로고
    • J.L. Lions, E. Magenes, Problems aux Limites Non-homogenes et Applications, vol. 1, Dunod, Paris, 1968
    • J.L. Lions, E. Magenes, Problems aux Limites Non-homogenes et Applications, vol. 1, Dunod, Paris, 1968
  • 12
    • 0008485419 scopus 로고
    • An efficient methodology for the physical sciences
    • Adomian G., Rach R.C., and Meyers R.E. An efficient methodology for the physical sciences. Kybenetes 20 7 (1991) 24-34
    • (1991) Kybenetes , vol.20 , Issue.7 , pp. 24-34
    • Adomian, G.1    Rach, R.C.2    Meyers, R.E.3
  • 13
    • 0035949870 scopus 로고    scopus 로고
    • Analytical treatment for variable coefficient fourth-order parabolic partial differential equations
    • Wazwaz A.M. Analytical treatment for variable coefficient fourth-order parabolic partial differential equations. Appl. Math. Comput. (2001) 219-227
    • (2001) Appl. Math. Comput. , pp. 219-227
    • Wazwaz, A.M.1
  • 14
    • 0042793178 scopus 로고    scopus 로고
    • Convergence of Adomian's method applied to differential equations
    • Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 102 (1999) 77-86
    • (1999) Comput. Math. Appl. , vol.102 , pp. 77-86
    • Abbaoui, K.1    Cherruault, Y.2
  • 15
    • 0036499003 scopus 로고    scopus 로고
    • An aftertreatment technique for improving the accuracy of Adomian's decomposition method
    • Jiao Y.C., et al. An aftertreatment technique for improving the accuracy of Adomian's decomposition method. Comput. Math. Appl. 43 (2002) 783-798
    • (2002) Comput. Math. Appl. , vol.43 , pp. 783-798
    • Jiao, Y.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.