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Controllability properties of a vibrating string with variable axial load
1.  Department of Mathematics, Washington State University, Pullman, WA 991643113, United States 
[1] 
Bopeng Rao, Laila Toufayli, Ali Wehbe. Stability and controllability of a wave equation with dynamical boundary control. Mathematical Control and Related Fields, 2015, 5 (2) : 305320. doi: 10.3934/mcrf.2015.5.305 
[2] 
Mohamed Ouzahra. Controllability of the semilinear wave equation governed by a multiplicative control. Evolution Equations and Control Theory, 2019, 8 (4) : 669686. doi: 10.3934/eect.2019039 
[3] 
Piermarco Cannarsa, Alessandro Duca, Cristina Urbani. Exact controllability to eigensolutions of the bilinear heat equation on compact networks. Discrete and Continuous Dynamical Systems  S, 2022, 15 (6) : 13771401. doi: 10.3934/dcdss.2022011 
[4] 
Karine Beauchard, Morgan Morancey. Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Mathematical Control and Related Fields, 2014, 4 (2) : 125160. doi: 10.3934/mcrf.2014.4.125 
[5] 
Sergei A. Avdonin, Boris P. Belinskiy. On controllability of a linear elastic beam with memory under longitudinal load. Evolution Equations and Control Theory, 2014, 3 (2) : 231245. doi: 10.3934/eect.2014.3.231 
[6] 
Patrick Martinez, Judith Vancostenoble. Exact controllability in "arbitrarily short time" of the semilinear wave equation. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 901924. doi: 10.3934/dcds.2003.9.901 
[7] 
Umberto Biccari, Mahamadi Warma. Nullcontrollability properties of a fractional wave equation with a memory term. Evolution Equations and Control Theory, 2020, 9 (2) : 399430. doi: 10.3934/eect.2020011 
[8] 
Arnaud Heibig, Mohand Moussaoui. Exact controllability of the wave equation for domains with slits and for mixed boundary conditions. Discrete and Continuous Dynamical Systems, 1996, 2 (3) : 367386. doi: 10.3934/dcds.1996.2.367 
[9] 
Abdelmouhcene Sengouga. Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints. Evolution Equations and Control Theory, 2020, 9 (1) : 125. doi: 10.3934/eect.2020014 
[10] 
Alhabib Moumni, Jawad Salhi. Exact controllability for a degenerate and singular wave equation with moving boundary. Numerical Algebra, Control and Optimization, 2022 doi: 10.3934/naco.2022001 
[11] 
Mohamed Ouzahra. Approximate controllability of the semilinear reactiondiffusion equation governed by a multiplicative control. Discrete and Continuous Dynamical Systems  B, 2022, 27 (2) : 10751090. doi: 10.3934/dcdsb.2021081 
[12] 
Behzad Azmi, Karl Kunisch. Receding horizon control for the stabilization of the wave equation. Discrete and Continuous Dynamical Systems, 2018, 38 (2) : 449484. doi: 10.3934/dcds.2018021 
[13] 
Larissa V. Fardigola. Controllability problems for the 1d wave equations on a halfaxis with Neumann boundary control. Mathematical Control and Related Fields, 2013, 3 (2) : 161183. doi: 10.3934/mcrf.2013.3.161 
[14] 
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer. Numerical study of polynomial feedback laws for a bilinear control problem. Mathematical Control and Related Fields, 2018, 8 (3&4) : 557582. doi: 10.3934/mcrf.2018023 
[15] 
Umberto De Maio, Akamabadath K. Nandakumaran, Carmen Perugia. Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Evolution Equations and Control Theory, 2015, 4 (3) : 325346. doi: 10.3934/eect.2015.4.325 
[16] 
Muhammad I. Mustafa. On the control of the wave equation by memorytype boundary condition. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 11791192. doi: 10.3934/dcds.2015.35.1179 
[17] 
Xiaorui Wang, Genqi Xu. Uniform stabilization of a wave equation with partial Dirichlet delayed control. Evolution Equations and Control Theory, 2020, 9 (2) : 509533. doi: 10.3934/eect.2020022 
[18] 
Zhiling Guo, Shugen Chai. Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022001 
[19] 
Manuel GonzálezBurgos, Sergio Guerrero, Jean Pierre Puel. Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation. Communications on Pure and Applied Analysis, 2009, 8 (1) : 311333. doi: 10.3934/cpaa.2009.8.311 
[20] 
Larissa Fardigola, Kateryna Khalina. Controllability problems for the heat equation on a halfaxis with a bounded control in the Neumann boundary condition. Mathematical Control and Related Fields, 2021, 11 (1) : 211236. doi: 10.3934/mcrf.2020034 
2020 Impact Factor: 1.392
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