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Multiplicity and stability result for semilinear parabolic equations
Control of plate vibrations by means of piezoelectric actuators
1. | Centre de Mathématiques Appliqués (CMAP), Ecole Polytechnique, 91128 Palaiseau and Université de Versailles, France |
[1] |
Moncef Aouadi, Imed Mahfoudhi, Taoufik Moulahi. Approximate controllability of nonsimple elastic plate with memory. Discrete and Continuous Dynamical Systems - S, 2022, 15 (5) : 1015-1043. doi: 10.3934/dcdss.2021147 |
[2] |
José R. Quintero, Alex M. Montes. On the exact controllability and the stabilization for the Benney-Luke equation. Mathematical Control and Related Fields, 2020, 10 (2) : 275-304. doi: 10.3934/mcrf.2019039 |
[3] |
Bei Gong, Zhen-Hu Ning, Fengyan Yang. Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $. Evolution Equations and Control Theory, 2021, 10 (2) : 321-331. doi: 10.3934/eect.2020068 |
[4] |
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues. Stabilization of nonautonomous parabolic equations by a single moving actuator. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 5789-5824. doi: 10.3934/dcds.2021096 |
[5] |
K. Ravikumar, Manil T. Mohan, A. Anguraj. Approximate controllability of a non-autonomous evolution equation in Banach spaces. Numerical Algebra, Control and Optimization, 2021, 11 (3) : 461-485. doi: 10.3934/naco.2020038 |
[6] |
Mohamed Ouzahra. Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control. Discrete and Continuous Dynamical Systems - B, 2022, 27 (2) : 1075-1090. doi: 10.3934/dcdsb.2021081 |
[7] |
Lianwen Wang. Approximate controllability and approximate null controllability of semilinear systems. Communications on Pure and Applied Analysis, 2006, 5 (4) : 953-962. doi: 10.3934/cpaa.2006.5.953 |
[8] |
Orazio Arena. A problem of boundary controllability for a plate. Evolution Equations and Control Theory, 2013, 2 (4) : 557-562. doi: 10.3934/eect.2013.2.557 |
[9] |
Gustavo Alberto Perla Menzala, Julian Moises Sejje Suárez. On the exponential stabilization of a thermo piezoelectric/piezomagnetic system. Evolution Equations and Control Theory, 2012, 1 (2) : 315-336. doi: 10.3934/eect.2012.1.315 |
[10] |
Yassine El Gantouh, Said Hadd, Abdelaziz Rhandi. Approximate controllability of network systems. Evolution Equations and Control Theory, 2021, 10 (4) : 749-766. doi: 10.3934/eect.2020091 |
[11] |
Eduardo Cerpa. Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation. Communications on Pure and Applied Analysis, 2010, 9 (1) : 91-102. doi: 10.3934/cpaa.2010.9.91 |
[12] |
Moncef Aouadi, Taoufik Moulahi. The controllability of a thermoelastic plate problem revisited. Evolution Equations and Control Theory, 2018, 7 (1) : 1-31. doi: 10.3934/eect.2018001 |
[13] |
Hans Weinberger. The approximate controllability of a model for mutant selection. Evolution Equations and Control Theory, 2013, 2 (4) : 741-747. doi: 10.3934/eect.2013.2.741 |
[14] |
Ahmet Özkan Özer. Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results. Evolution Equations and Control Theory, 2018, 7 (4) : 639-668. doi: 10.3934/eect.2018031 |
[15] |
Louis Tebou. Simultaneous stabilization of a system of interacting plate and membrane. Evolution Equations and Control Theory, 2013, 2 (1) : 153-172. doi: 10.3934/eect.2013.2.153 |
[16] |
Viorel Barbu, Ionuţ Munteanu. Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension. Evolution Equations and Control Theory, 2012, 1 (1) : 1-16. doi: 10.3934/eect.2012.1.1 |
[17] |
Valentin Keyantuo, Mahamadi Warma. On the interior approximate controllability for fractional wave equations. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 3719-3739. doi: 10.3934/dcds.2016.36.3719 |
[18] |
Guillaume Olive. Boundary approximate controllability of some linear parabolic systems. Evolution Equations and Control Theory, 2014, 3 (1) : 167-189. doi: 10.3934/eect.2014.3.167 |
[19] |
Moncef Aouadi, Taoufik Moulahi. Approximate controllability of abstract nonsimple thermoelastic problem. Evolution Equations and Control Theory, 2015, 4 (4) : 373-389. doi: 10.3934/eect.2015.4.373 |
[20] |
Hugo Leiva, Jahnett Uzcategui. Approximate controllability of discrete semilinear systems and applications. Discrete and Continuous Dynamical Systems - B, 2016, 21 (6) : 1803-1812. doi: 10.3934/dcdsb.2016023 |
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