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authFullName_s : Fatiha Alabau-Boussouira

Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control

Fatiha Alabau-Boussouira
Nonlinear Differential Equations and Applications, 2007, 14 (5-6), pp.643--669. ⟨10.1007/s00030-007-5033-0⟩
Journal articles istex hal-00594830v1

On some recent advances on stabilization for hyperbolic equations

Fatiha Alabau-Boussouira
Cannarsa, Piermarco and Coron, Jean-Michel. Control of partial differential equations, 2048, Springer, pp.1-100, 2012, Lecture Notes in Mathematics, 978-3-642-27893-8. ⟨10.1007/978-3-642-27893-8_1⟩
Book sections istex hal-00767774v1
Image document

Finite-time stabilization of a network of strings

Fatiha Alabau-Boussouira , Vincent Perrollaz , Lionel Rosier
Mathematical Control and Related Fields, 2015, 5 (4), pp.721-742. ⟨10.3934/mcrf.2015.5.721⟩
Journal articles hal-01071150v1

Decay estimates for second order evolution equations with memory

Fatiha Alabau-Boussouira , Piermarco Cannarsa , Daniela Sforza
Journal of Functional Analysis, 2008, 254 (5), pp.1342-1372. ⟨10.1016/j.jfa.2007.09.012⟩
Journal articles hal-00594831v1

A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems.

Fatiha Alabau-Boussouira
Journal of Differential Equations, 2010, 248 (6), pp.1473-1517. ⟨10.1016/j.jde.2009.12.005⟩
Journal articles hal-00594842v1
Image document

Indirect stabilization of locally coupled wave-type systems

Fatiha Alabau-Boussouira , Matthieu Léautaud
Preprints, Working Papers, ... hal-00476250v2

Piecewise multiplier method and nonlinear integral inequalities for Petrowsky equation with nonlinear dissipation

Fatiha Alabau-Boussouira
Journal of Evolution Equations, 2006, 6 (1), pp.95-112. ⟨10.1007/s00028-005-0230-y⟩
Journal articles hal-03895127v1
Image document

Stabilization of locally coupled wave-type systems

Fatiha Alabau-Boussouira , Matthieu Léautaud
Preprints, Working Papers, ... hal-00517381v1
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Nonlinear damped partial differential equations and their uniform discretizations

Fatiha Alabau-Boussouira , Yannick Privat , Emmanuel Trélat
Journal of Functional Analysis, 2017, 273 (1), pp.352-403. ⟨10.1016/j.jfa.2017.03.010⟩
Journal articles hal-01162639v2

Insensitizing exact controls for the scalar wave equation and exact controllability of $$2$$ -coupled cascade systems of PDE’s by a single control

Fatiha Alabau-Boussouira
Mathematics of Control, Signals, and Systems, 2014, 26 (1), pp.1-46. ⟨10.1007/s00498-013-0112-8⟩
Journal articles hal-03894966v1

Convexity and Weighted Integral Inequalities for Energy Decay Rates of Nonlinear Dissipative Hyperbolic Systems

Fatiha Alabau-Boussouira
Applied Mathematics and Optimization, 2005, 51 (1), pp.61-105. ⟨10.1007/s00245⟩
Journal articles hal-03895147v1

Asymptotic stability of wave equations with memory and frictional boundary dampings.

Fatiha Alabau-Boussouira
Applicationes Mathematicae, 2008, 35 (3), pp.247-258. ⟨10.4064/am35-3-01⟩
Journal articles hal-00594832v1

New trends towards lower energy estimates and optimality for nonlinearly damped vibrating systems.

Fatiha Alabau-Boussouira
Journal of Differential Equations, 2010, 249 (5), pp.1145-1178. ⟨10.1016/j.jde.2010.04.013⟩
Journal articles hal-00594843v1

Stability to weak dissipative Bresse system.

Fatiha Alabau-Boussouira , Jaime E. Muñoz-Rivera , Dilberto da S. Almeida Júnior
Journal of Mathematical Analysis and Applications, 2011, 374 (2), pp.481-498. ⟨10.1016/j.jmaa.2010.07.046⟩
Journal articles hal-00594844v1

Exponential stability of the wave equation with memory and anti–damping/time delay

Fatiha Alabau-Boussouira , Serge Nicaise , Cristina Pignotti
Favini, Angelo; Fragnelli, Genni; Mininni, Rosa Maria. New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer Verlag, pp.1-22, 2014, Springer INdAM Series
Book sections hal-03227639v1

Boundary stabilisation of the wave equation in the presence of singularities

Fatiha Alabau-Boussouira , Tarik Ali-Ziane , Fatima Arab , Ouahiba Zaïr
International Journal of Control, 2018, 91 (2), pp.383-399. ⟨10.1080/00207179.2017.1282624⟩
Journal articles hal-03890908v1
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Internal controllability of first order quasilinear hyperbolic systems with a reduced number of controls

Fatiha Alabau-Boussouira , Jean-Michel Coron , Guillaume Olive
SIAM Journal on Control and Optimization, 2017, 55 (1), pp.300-323
Journal articles hal-01139980v1

Control and stabilization of degenerate wave equations

Fatiha Alabau-Boussouira , Piermarco Cannarsa , Günter Leugering
SIAM Journal on Control and Optimization, 2017, 55 (3), pp.2052-2087. ⟨⟩
Journal articles hal-03890886v1

On the influence of the coupling on the dynamics of single-observed cascade systems of PDE's

Fatiha Alabau-Boussouira
Mathematical Control and Related Fields, 2015, 5 (1), pp.1-30. ⟨10.3934/mcrf.2015.5.1⟩
Journal articles hal-03894950v1

Boundary observability, controllability and stabilization of linear elastodynamic systems

Fatiha Alabau-Boussouira , Vilmos Komornik
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997, 324 (5), pp.519-524. ⟨10.1016/S0764-4442(99)80383-8⟩
Journal articles hal-03895380v1

Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems

Fatiha Alabau-Boussouira
SIAM Journal on Control and Optimization, 2002, 41 (2), pp.511-541. ⟨10.1137/S0363012901385368⟩
Journal articles hal-03895241v1
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Indirect stabilization of weakly coupled systems with hybrid boundary conditions

Fatiha Alabau-Boussouira , Piermarco Cannarsa , Roberto Guglielmi
Preprints, Working Papers, ... hal-00601281v1
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A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities

Fatiha Alabau-Boussouira , Zhiqiang Wang , Lixin Yu
ESAIM: Control, Optimisation and Calculus of Variations, 2017, 23 (2), pp.721-749. ⟨10.1051/cocv/2016011⟩
Journal articles hal-02922727v1
Image document

Indirect controllability of locally coupled wave-type systems and applications

Fatiha Alabau-Boussouira , Matthieu Léautaud
Preprints, Working Papers, ... hal-00636605v1

Nonlinear stabilization of abstract systems via a linear observability inequality and application to vibrating PDE's.

Fatiha Alabau-Boussouira , Kais Ammari
Comptes Rendus. Mathématique, 2010, 348 (3-4), pp.165-170. ⟨10.1016/j.crma.2009.12.009⟩
Journal articles hal-00594841v1

Control of partial differential equations.

Fatiha Alabau-Boussouira , Piermarco Cannarsa
Robert A. Meyers. Springer Encyclopedia of Complexity and Systems Science, Part 3, Springer, New-York, pp.1485-1509, 2009, ⟨10.1007/978-0-387-30440-3_97⟩
Book sections hal-00594903v1

Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls

Fatiha Alabau-Boussouira
Comptes Rendus. Mathématique, 2012, 350 (11-12), pp.577-582. ⟨10.1016/j.crma.2012.05.009⟩
Journal articles hal-03895084v1

A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems

Fatiha Alabau-Boussouira
SIAM Journal on Control and Optimization, 2003, 42 (3), pp.871-906. ⟨10.1137/S0363012902402608⟩
Journal articles hal-03895207v1

Source Reconstruction by Partial Measurements for a Class of Hyperbolic Systems in Cascade

Fatiha Alabau-Boussouira , Piermarco Cannarsa , Masahiro Yamamoto
Mathematical Paradigms of Climate Science, 15, Springer International Publishing, pp.35-50, 2016, Springer INdAM Series, ⟨10.1007/978-3-319-39092-5_3⟩
Book sections hal-03894932v1

Trends in Control Theory and Partial Differential Equations

Fatiha Alabau-Boussouira , Fabio Ancona , Alessio Porretta , Carlo Sinestrari
Giorgio Patrizio. Springer International Publishing, 32 (1), pp.XII, 276, 2019, Springer INdAM Series, INDAM - Istituto Nazionale di Alta Matematica, 978-3-030-17948-9. ⟨10.1007/978-3-030-17949-6⟩
Books hal-03894888v1