@article{COCV_1998__3__133_0, author = {Banks, H. T. and Demetriou, M. A.}, title = {Adaptive parameter estimation of hyperbolic distributed parameter systems : non-symmetric damping and slowly time varying systems}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {133--162}, publisher = {EDP-Sciences}, volume = {3}, year = {1998}, mrnumber = {1613872}, zbl = {1052.93506}, language = {en}, url = {http://www.numdam.org/item/COCV_1998__3__133_0/} }
TY - JOUR AU - Banks, H. T. AU - Demetriou, M. A. TI - Adaptive parameter estimation of hyperbolic distributed parameter systems : non-symmetric damping and slowly time varying systems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1998 SP - 133 EP - 162 VL - 3 PB - EDP-Sciences UR - http://www.numdam.org/item/COCV_1998__3__133_0/ LA - en ID - COCV_1998__3__133_0 ER -
%0 Journal Article %A Banks, H. T. %A Demetriou, M. A. %T Adaptive parameter estimation of hyperbolic distributed parameter systems : non-symmetric damping and slowly time varying systems %J ESAIM: Control, Optimisation and Calculus of Variations %D 1998 %P 133-162 %V 3 %I EDP-Sciences %U http://www.numdam.org/item/COCV_1998__3__133_0/ %G en %F COCV_1998__3__133_0
Banks, H. T.; Demetriou, M. A. Adaptive parameter estimation of hyperbolic distributed parameter systems : non-symmetric damping and slowly time varying systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 3 (1998), pp. 133-162. http://www.numdam.org/item/COCV_1998__3__133_0/
[1] Adaptive control of a first order plant with timevarying parameter, In Proceedings of the 1989, American Control Conference, 1989, 975-980.
, :[2] Adaptive control of simple time-varying systems, In Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, Florida, 1989, 1014-1018.
, :[3] Adaptive parameter estimation of hyperbolic distributed parameter systems with non-symmetric damping and slowly time varying parameters: Convergence proofs and numerical results, Center for Research in Scientific Computation Report 96-31, North Carolina State University, Raleigh, 1996.
, :[4] Adaptive parameter estimation in a 2-d structural acoustic model with piezoceramic actuator, In Proceedings of the 1994American Control Conference, Baltimore, Maryland, 1994.
, , :[5] Approximation methods for control of structural acoustics models with piezoceramic actuators, Journal of Intelligent Material Systems and Structures, 4, 1993, 98-116.
, , , :[6] A unified framework for approximation and inverse problems for distributed parameter Systems, Control-Theory and Advanced Technology, 4, 1988, 73-90. | MR
, :[7] Well posedness for damped second order Systems with unbounded input operators, Differential and Integral Equations, 8(3), 1995, 587-606. | MR | Zbl
, , :[8] The modeling and control of acoustic/structure interaction problems via piezoceramic actuators: 2-d numerical examples, ASME Journal of Vibration and Acoustics, 116, 1994, 386-396.
, , :[9] Feedback control of noise in a 2-d nonlinear structural acoustics model, Continuous and Discrete Dynamical Systems, 1, 1995, 119-149. | MR | Zbl
, :[10] Smart Material Structures: Modeling, Estimation and Control, Wiley-Masson, New York, 1996. | Zbl
, , :[11] Approximation and parameter identification for damped second order systems with unbounded input operators, Control: Theory and Advanced Technology, 10, 1994, 873-892. | MR
, , , :[12] On-line parameter estimation for infinite dimensional dynamical systems, SIAM J. Control and Optimization, 35(2), 1997, 678-713. | MR | Zbl
, , , :[13] Adaptive observers for structurally perturbed infinite dimensional systems, In Proceedings of the 36th IEEE Conferenceon Decision and Control, San Diego, California, 1997.
, , :[14] Adaptive Parameter Estimation of Abstract Parabolic and Hyperbolic Distributed Parameter Systems, PhD thesis, Department of Electrical Engineering - Systems, University of Southern California, Los Angeles, 1993.
:[15] Adaptive identification of second order distributed parameter systems, Inverse Problems, 10(2), 1994, 261-294. | MR | Zbl
, :[16] On the persistence of excitation in the adaptive identification of distributed parameter systems, IEEE Trans. on Automatic Control, 39(5), 1994, 1117-1123. | MR | Zbl
, :[17] Robust adaptive estimation schemes for parabolic distributed parameter systems, In Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, California, 1997.
, :[18] Ordinary Differential Equations, Wiley-Interscience, John Wiley and Sons, New York, 1969. | MR | Zbl
:[19] Finite dimensional adaptive observers applied to distributed parameter systems, IEEE Trans. on Automatic Control, 38(3), 1993, 469-474. | MR | Zbl
:[20] Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York, 1971. | MR | Zbl
:[21] Non-Homogeneous Boundary Value Problems, I, Springer-Verlag, New York, 1972.
, :[22] Stable Adaptive Systems, Prentice Hall, Englewood Cliffs, 1989. | Zbl
, :[23] Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983. | MR | Zbl
:[24] Adaptive estimation of a flexible beam, In Proceedings of the 1993, IEEE Regional Conference on Aerospace Control Systems, Westlake Village, California, 1993. | MR
, :[25] Ein Modellabgleichsverfahren zur adaptiven Parameteridentifikation in Evolutionsgleichungen, PhD thesis, Johann Wolfgang Goethe-Universitat zu Frankfurt am Main, Frankfurt am Main, Germany, 1987. | Zbl
:[26] Hilbert Space Methods for Partial Differential Equations, Pitman, London, 1977. | MR | Zbl
:[27] Equations of Evolution, Pitman, London, 1979. | MR | Zbl
:[28] Partial differential equations, Cambridge University Press, Cambridge, 1987. | MR | Zbl
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