Identification of water depth and velocity potential for water waves
Tài liệu tham khảo
Irish, 1999, Scanning laser mapping of the coastal zone: The shoals system, ISPRS J. Photogramm. Remote Sens., 54, 123, 10.1016/S0924-2716(99)00003-9
Wang, 2007, Using airborne bathymetric lidar to detect bottom type variation in shallow waters, Remote Sens. Environ., 106, 123, 10.1016/j.rse.2006.08.003
Grilli, 1998, Depth inversion in shallow water based on nonlinear properties of shoaling periodic waves, Coast. Eng., 35, 185, 10.1016/S0378-3839(98)00035-0
Holland, 2001, Application of the linear dispersion relation with respect to depth inversion and remotely sensed imagery, IEEE Trans. Geosci. Remote Sens., 39, 2060, 10.1109/36.951097
Söderström, 1988
Sallet, 2009
Lannes, 2013, The water waves problem: Mathematical analysis and asymptotics, vol. 188
Whitham, 1974
Dean, 1991
Craig, 1997, The modulational regime of three-dimensional water waves and the Davey-Stewartson system, Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 14, 615, 10.1016/S0294-1449(97)80128-X
Craig, 1993, Numerical simulation of gravity waves, J. Comput. Phys., 108, 73, 10.1006/jcph.1993.1164
Zakharov, 1968, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys., 9, 190, 10.1007/BF00913182
Lannes, 2005, Well-posedness of the water-waves equations, J. Amer. Math. Soc., 18, 605, 10.1090/S0894-0347-05-00484-4
Fontelos, 2017, Bottom detection through surface measurements on water waves, SIAM J. Control Optim., 55, 3890, 10.1137/15M1007951
Johnson, 1997
Baillieul, 1987, Rotational elastic dynamics, Physica D, 27, 43, 10.1016/0167-2789(87)90004-2
A.M. Bloch, E.S. Titi, On the dynamics of rotating elastic beams, in: Proc. Conf. New Trends System Theory, July-9-11-1990.
Busvelle, 2005, Observation and identification tools for non-linear systems: Application to a fluid catalytic cracker, Internat. J. Control, 78, 208, 10.1080/00207170500036027
Ramdani, 2010, Recovering the initial state of an infinite-dimensional system using observers, Automatica, 46, 1616, 10.1016/j.automatica.2010.06.032
Li, 2011, Infinite-dimensional Luenberger-like observers for a rotating body-beam system, Systems Control Lett., 60, 138, 10.1016/j.sysconle.2010.11.005
Zhao, 2017, Simultaneous identification of diffusion coefficient spacewise dependent source and initial value for one-dimensional heat equation, Math. Methods Appl. Sci., 40, 3552, 10.1002/mma.4245
Brezis, 1983
Tucsnak, 2009
Zimmer, 1993, A new algorithm for approximating the state of nonlinear systems, Int. J. Inf. Syst. Sci., 24, 777, 10.1080/00207729308949521
Bergmann, 2004
Ghaffari, 2012, Multivariable Newton-based extremum seeking, Automatica, 48, 1759, 10.1016/j.automatica.2012.05.059