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Volumn 57, Issue 8, 2008, Pages 595-601

Stabilization of a Boussinesq system of KdV-KdV type

Author keywords

Boundary control; Boussinesq system; Exponential stability; Stabilization

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; PARAMETER ESTIMATION; STABILIZATION;

EID: 44449114184     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.12.009     Document Type: Article
Times cited : (39)

References (18)
  • 1
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary
    • Bardos C., Lebeau G., and Rauch J. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. SIAM J. Control Optim. 30 5 (1992) 1024-1065
    • (1992) SIAM J. Control Optim. , vol.30 , Issue.5 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 2
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory
    • Bona J.L., Chen M., and Saut J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory. J. Nonlinear Sci. 12 4 (2002) 283-318
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.4 , pp. 283-318
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 3
    • 2442660478 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory
    • Bona J.L., Chen M., and Saut J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory. Nonlinearity 17 3 (2004) 925-952
    • (2004) Nonlinearity , vol.17 , Issue.3 , pp. 925-952
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 4
    • 0020768597 scopus 로고
    • Weak and strong interactions between internal solitary waves
    • Gear J.A., and Grimshaw R. Weak and strong interactions between internal solitary waves. Stud. Appl. Math. 70 3 (1984) 235-258
    • (1984) Stud. Appl. Math. , vol.70 , Issue.3 , pp. 235-258
    • Gear, J.A.1    Grimshaw, R.2
  • 5
    • 0003932190 scopus 로고
    • Exact controllability and stabilization
    • Masson, Paris The multiplier method
    • Komornik V. Exact controllability and stabilization. RAM: Research in Applied Mathematics (1994), Masson, Paris The multiplier method
    • (1994) RAM: Research in Applied Mathematics
    • Komornik, V.1
  • 7
    • 34547144230 scopus 로고    scopus 로고
    • On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
    • (electronic)
    • Linares F., and Pazoto A.F. On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping. Proc. Amer. Math. Soc. 135 5 (2007) 1515-1522 (electronic)
    • (2007) Proc. Amer. Math. Soc. , vol.135 , Issue.5 , pp. 1515-1522
    • Linares, F.1    Pazoto, A.F.2
  • 8
    • 0003201164 scopus 로고
    • Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1
    • Masson, Paris Contrôlabilité exacte. [Exact controllability], With appendices by E. Zuazua, C. Bardos, G. Lebeau and J. Rauch
    • Lions J.-L. Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1. Recherches en Mathématiques Appliquées [Research in Applied Mathematics] vol. 8 (1988), Masson, Paris Contrôlabilité exacte. [Exact controllability], With appendices by E. Zuazua, C. Bardos, G. Lebeau and J. Rauch
    • (1988) Recherches en Mathématiques Appliquées [Research in Applied Mathematics] , vol.8
    • Lions, J.-L.1
  • 9
    • 34547163421 scopus 로고    scopus 로고
    • On the uniform decay for the Korteweg-de Vries equation with weak damping
    • Massarolo C.P., Menzala G.P., and Pazoto A.F. On the uniform decay for the Korteweg-de Vries equation with weak damping. Math. Methods Appl. Sci. 30 12 (2007) 1419-1435
    • (2007) Math. Methods Appl. Sci. , vol.30 , Issue.12 , pp. 1419-1435
    • Massarolo, C.P.1    Menzala, G.P.2    Pazoto, A.F.3
  • 10
    • 44449156348 scopus 로고    scopus 로고
    • S. Micu, J.H. Ortega, A.F. Pazoto, On the controllability of a coupled system of two Korteweg-de Vries equations, 2007. preprint
    • S. Micu, J.H. Ortega, A.F. Pazoto, On the controllability of a coupled system of two Korteweg-de Vries equations, 2007. preprint
  • 11
    • 44449147801 scopus 로고    scopus 로고
    • S. Micu, J.H. Ortega, L. Rosier, B.-Y. Zhang, Control and stabilization of a family of Boussinesq systems, 2007. preprint
    • S. Micu, J.H. Ortega, L. Rosier, B.-Y. Zhang, Control and stabilization of a family of Boussinesq systems, 2007. preprint
  • 12
    • 30944464263 scopus 로고    scopus 로고
    • Unique continuation and decay for the Korteweg-de Vries equation with localized damping
    • (electronic)
    • Pazoto A.F. Unique continuation and decay for the Korteweg-de Vries equation with localized damping. ESAIM Control Optim. Calc. Var. 11 3 (2005) 473-486 (electronic)
    • (2005) ESAIM Control Optim. Calc. Var. , vol.11 , Issue.3 , pp. 473-486
    • Pazoto, A.F.1
  • 13
    • 0036492457 scopus 로고    scopus 로고
    • Stabilization of the Korteweg-de Vries equation with localized damping
    • Perla~Menzala G., Vasconcellos C.F., and Zuazua E. Stabilization of the Korteweg-de Vries equation with localized damping. Quart. Appl. Math. 60 1 (2002) 111-129
    • (2002) Quart. Appl. Math. , vol.60 , Issue.1 , pp. 111-129
    • Perla Menzala, G.1    Vasconcellos, C.F.2    Zuazua, E.3
  • 14
    • 84996141528 scopus 로고    scopus 로고
    • Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
    • (electronic)
    • Rosier L. Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain. ESAIM Control Optim. Calc. Var. 2 (1997) 33-55 (electronic)
    • (1997) ESAIM Control Optim. Calc. Var. , vol.2 , pp. 33-55
    • Rosier, L.1
  • 15
    • 33845995339 scopus 로고    scopus 로고
    • Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain
    • (electronic)
    • Rosier L., and Zhang B.-Y. Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain. SIAM J. Control Optim. 45 3 (2006) 927-956 (electronic)
    • (2006) SIAM J. Control Optim. , vol.45 , Issue.3 , pp. 927-956
    • Rosier, L.1    Zhang, B.-Y.2
  • 16
    • 0027594486 scopus 로고
    • Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain
    • Russell D.L., and Zhang B.-Y. Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain. SIAM J. Control Optim. 31 3 (1993) 659-676
    • (1993) SIAM J. Control Optim. , vol.31 , Issue.3 , pp. 659-676
    • Russell, D.L.1    Zhang, B.-Y.2
  • 17
    • 0000140289 scopus 로고
    • Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
    • Russell D.L., and Zhang B.-Y. Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation. J. Math. Anal. Appl. 190 2 (1995) 449-488
    • (1995) J. Math. Anal. Appl. , vol.190 , Issue.2 , pp. 449-488
    • Russell, D.L.1    Zhang, B.-Y.2
  • 18
    • 21444446596 scopus 로고    scopus 로고
    • Exact controllability and stabilizability of the Korteweg-de Vries equation
    • Russell D.L., and Zhang B.-Y. Exact controllability and stabilizability of the Korteweg-de Vries equation. Trans. Amer. Math. Soc. 348 9 (1996) 3643-3672
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.9 , pp. 3643-3672
    • Russell, D.L.1    Zhang, B.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.