A new method for solving the exact control problem for the one-dimensional wave equation
Alam G.M. Avdonin S.A. Choque-Rivero A.E. Nurtazina K.B.
March 2025Birkhauser
Boletin de la Sociedad Matematica Mexicana
2025#31Issue 1
We demonstrate a new method to prove the exact boundary controllability for the wave equation on an interval. The method uses a dynamical argument to demonstrate the shape and the velocity controllability, thereby solving their associated moment problems. This permits solving the moment problem related to exact controllability. The method is illustrated by numerical examples.
Boundary controllability , Fredholm and Volterra-type integral equations , Moment problem , Wave equation
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Department of Mathematics, Virginia Tech, 225 Stanger Street, Blacksburg, 24061, VA, United States
Department of Mathematics and Statistics, University of Alaska Fairbanks, 1792 Ambler Lane, Fairbanks, 99775, AK, United States
Institute of Physics and Mathematics, Michoacan University of Saint Nicholas of Hidalgo, Mujica SN, Mich, Morelia, 58000, Mexico
Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpayev, Astana, Z01E1F7, Kazakhstan
Department of Mathematics
Department of Mathematics and Statistics
Institute of Physics and Mathematics
Faculty of Mechanics and Mathematics
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