Parameter estimation in a structural acoustic system with fully nonlinear coupling conditions

Mathematical and Computer Modelling

Volumn 23, Issue 4, 1996, Pages 17-50

  Banks, H T ^a   Smith, R C ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

Nonlinear partial differential equations; Parameter identification; Structural acoustics

Indexed keywords

EID: 0007193884     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00002-7     Document Type: Article

References (24)

1. H.T. Banks and K. Kunisch, Estimation Techniques for Distributed Parameter Systems, Birkhäuser, Boston, (1989).
2. st Conf. on Decision and Control, Tucson, AZ, December 16-18, 1992, pp. 1803-1808.
3. H.T. Banks, Y. Wang, D. J. Inman and J.C. Slater, Approximation and parameter identification for damped second order systems with unbounded input operators, Center for Research in Scientific Computation Technical Report, CRSC-TR93-9, North Carolina State University; Control: Theory and Advanced Technology 10, 873-892 (1994).
4. H.T. Banks and R.C. Smith, Modeling and approximation of a coupled 3-D structural acoustic problem, Computation and Control III, Proc. Third Bozeman Conf., Bozeman, MT, 1992, Progress in Systems and Control Theory, Volume 15, pp. 29-48, Birkhäuser, Boston, (1993).
5. H.T. Banks and R.C. Smith, Modeling and approximation of a coupled 3-D structural acoustic problem, Computation and Control III, Proc. Third Bozeman Conf., Bozeman, MT, 1992, Progress in Systems and Control Theory, Volume 15, pp. 29-48, Birkhäuser, Boston, (1993).
6. H.T. Banks and R.C. Smith, Well-posedness of a model for structural acoustic coupling in a cavity enclosed by a thin cylindrical shell, ICASE Report 93-10, Journal of Mathematical Analysis and Applications 191, 1-25 (1995).
7. H.T. Banks, W. Fang, R.J. Silcox and R.C. Smith, Approximation methods for control of acoustic/structure models with piezoceramic actuators, Journal of Intelligent Material Systems and Structures 4, 98-116 (1993).
8. H.T. Banks, R.C. Smith and Y. Wang, Modeling aspects for piezoceramic patch activation of shells, plates and beams, Center for Research in Scientific Computation Technical Report, CRSC-TR92-12, North Carolina State University; Quarterly of Applied Mathematics (to appear).
9. M.P. Norton, Fundamentals of Noise and Vibration Analysis for Engineers, Cambridge University Press, New York, (1989).
10. H.T. Banks and R.C. Smith, Active control of acoustic pressure fields using smart material technologies, ICASE Rpt. No. 93-31, NASA Langley Res. Ctr.; In Proceedings of the Workshop on Flow Control, Institute for Mathematics and Its Applications (IMA), University of Minnesota, Minneapolis, MN November 16-20, 1992.
11. J.J. Dosch, D.J. Inman and E. Garcia, A self-sensing piezoelectric actuator for collocated control, Journal of Intelligent Material Systems and Structures 3, 166-185 (1992).
12. H.T. Banks, R.J. Silcox and R.C. Smith, The modeling and control of acoustic/structure interaction problems via piezoceramic actuators: 2-D numerical examples, ASME Journal of Vibration and Acoustics 116, 386-396 (1994).
13. H.T. Banks and K. Ito, A unified framework for approximation in inverse problems for distributed parameter systems, Control-Theory and Advanced Technology 4, 73-90 (1988).
14. H.T. Banks, K. Ito and Y. Wang, Well-posedness for damped second order systems with unbounded input operators, Center for Research in Scientific Computation Technical Report, CRSC-TR93-10, North Carolina State University; Differential and Integral Equations 8, 587-606 (1995).
15. J. Wloka, Partial Differential Equations, Cambridge University Press, New York, (1987).
16. H.T. Banks, F. Kappel and C. Wang, Weak solutions and differentiability for size structured population models, In Int. Series of Num. Math., Volume 100, pp. 35-50, Birkhäuser, (1991).
17. A. Haraux, Linear semigroups in Banach spaces, In Semigroups, Theory and Applications, II, Volume 152, (Edited by H. Brezis et al.), pp. 93-135, Pitman Res. Notes in Math, Longman, London, (1986).
18. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, (1983).
19. H.T. Banks and Y. Wang, Parameter identification in the frequency domain, Computation and Control III, Proc. Third Bozeman Conf., Bozeman, MT, 1992, Progress in Systems and Control Theory, Volume 15, pp. 49-62, Birkhäuser, Boston, (1993).
20. H.T. Banks and Y. Wang, Parameter identification in the frequency domain, Computation and Control III, Proc. Third Bozeman Conf., Bozeman, MT, 1992, Progress in Systems and Control Theory, Volume 15, pp. 49-62, Birkhäuser, Boston, (1993).
21. H.T. Banks, Y. Wang and D.J. Inman, Bending and shear damping in beams: Frequency domain estimation techniques, Journal of Vibration and Acoustics 116, 188-197 (1994).
22. H.T. Banks and D.A. Rebnord, Analytic semigroups: Applications to inverse problems for flexible structures, In Differential Equations with Applications, (Edited by J. Goldstein et al.), pp. 21-35, Marcel Dekker, (1991).
23. H.T. Banks and K. Kunisch, An approximation theory for nonlinear partial differential equations with applications to identification and control, SIAM J. Control and Optimization 20, 815-849 (1982).
24. G. Da Prato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM J. Control Opt. 25, 706-714 (1987).