Distributed and boundary control for a parallel system of euler-bernoulli beams

JVC/Journal of Vibration and Control

Volumn 3, Issue 2, 1997, Pages 183-199

  Najafi, Mahmoud ^a   Sarhangi, Reza ^b   Oloomi, Hossein M ^c  

^a KENT STATE UNIVERSITY   (United States)

^b Southern College   (United States)

^c PURDUE UNIVERSITY FORT WAYNE   (United States)

Author keywords

Boundary control; Distributed parameter control; Parallel euler bernoulli beams; Stabilization of coupled beams

Indexed keywords

DISTRIBUTED PARAMETER CONTROL SYSTEMS; SYSTEM STABILITY; VIBRATION CONTROL;

BOUNDARY CONTROL; COUPLED BEAMS; EULER BERNOULLI BEAMS;

BEAMS AND GIRDERS;

EID: 0031145532     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/107754639700300203     Document Type: Article

References (13)

1. Chen, G., 1979, "Energy decay estimates and exact boundary values controllability for the wave equation in a bounded domain," Journal de Mathématiques Pures et Appliquées 58(9), 249-274.
2. Chen, G., Delfour, M. C., Crall, M. A., and Payre, G., 1987, "Modeling, stabilization and control of serially connected beams," SIAM J. Control Optim. 25(3), 526-546.
3. Chen, G., Fulling, A., Narcowich, F. J., and Sun, S., 1991, "Exponential decay of energy of evolution equations with locally distributed damping," SIAM J. Appl. Math. 51, 266-301.
4. Dafermos, C. M. and Slemord, M., 1973, "Asymptotic behavior of nonlinear contraction semigroups," J. Funct. Anal. 13, 97-106.
5. Huang, F. L., 1993, "Strong asymptotic stability of linear dynamical systems in banach spaces," J. Diff. Eqs. 104, 307-324.
6. Kato, T., 1966, Perturbation Theory for Linear Operators, Springer-Verlag, New York.
7. Komornik, V. and Zuazua, E., 1990, "A direct method for the boundary stabilization of the wave equation," Journal de Mathématiques Pures et Appliquées 69, 33-54.
8. Lagnese, J., 1988, "Note on boundary stabilization of wave equations," SIAM J. Control Optim. 26(5), 1250-1256.
9. Littman, W., Markus, L., and Tou, Y., 1987, A Note on Stabilization and Controllability of a Hybrid Elastic System with Boundary Control, Report No. 87-103, University of Minnesota, Minneapolis, MN.
10. Najafi, M., 1994, Energy Estimates and Stabilizability for Wave Equations in Bounded Domains Coupled in Parallel, Ph.D. dissertation, Wichita State University, Wichita, KS.
11. Pazy, A., 1983, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York.
12. Sarhangi, G. R., Najafi, M., and Wang, H., 1995, "The boundary stabilization of a linearized self-excited wave equation," Int. J. Systems Sci. 26(11), 2125-2137.
13. Timoshenko, S. and Young, D. H., 1974, Vibration Problems in Engineering, John Wiley, New York.