Exact controllability of the suspension bridge model proposed by Lazer and McKenna

Journal of Mathematical Analysis and Applications

Volumn 309, Issue 2, 2005, Pages 404-419

  Leiva, Hugo ^a  

^a UNIVERSIDAD DE LOS ANDES   (Venezuela)

Author keywords

Exact controllability; Strongly continuous groups; Suspension bridge equation

Indexed keywords

EID: 22944473369     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.07.025     Document Type: Article

References (10)

1. J.M. Alonso J. Mawhin R. Ortega Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation J. Math. Pures Appl. 78 1999 49-63
2. J.M. Alonso R. Ortega Boundedness and global asymptotic stability of a forced oscillator Nonlinear Anal. 25 1995 297-309
3. J.M. Alonso R. Ortega Global asymptotic stability of a forced Newtonian system with dissipation J. Math. Anal. Appl. 196 1995 965-986
4. L. Garcia H. Leiva Center manifold and exponentially bounded solutions of a forced Newtonian system with dissipation Electron. J. Differential Equations Conf. 05 2000 69-77
5. J. Glover A.C. Lazer P.J. McKenna Existence and stability of large-scale nonlinear oscillations in suspension bridges Z. Angew. Math. Phys. 40 1989 171-200
6. A.C. Lazer P.J. McKenna Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis SIAM Rev. 32 1990 537-578
7. H. Leiva Existence of bounded solutions of a second order system with dissipation J. Math. Anal. Appl. 237 1999 288-302
8. H. Leiva Existence of bounded solutions of a second order evolution equation and applications J. Math. Phys. 41 2000
9. 0-semigroups and applications PDEs systems, Report series of CDSNS 99-353
10. H. Leiva H. Zambrano Rank condition for the controllability of a linear time-varying system Internat. J. Control 72 1999 920-931