Alabau-Boussouira, Fatiha; Ali-Ziane, Tarik; Arab, Fatima; Zaïr, Ouahiba Boundary stabilisation of the wave equation in the presence of singularities. (English) Zbl 1390.93630 Int. J. Control 91, No. 2, 383-399 (2018). MSC: 93D15 35L05 35Q53 93C20 93C10 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., Int. J. Control 91, No. 2, 383--399 (2018; Zbl 1390.93630) Full Text: DOI
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Yamamoto, Masahiro Source reconstruction by partial measurements for a class of hyperbolic systems in cascade. (English) Zbl 1366.93044 Ancona, Fabio (ed.) et al., Mathematical paradigms of climate science. Based on the workshop, Rome, Italy, summer 2013. Cham: Springer (ISBN 978-3-319-39091-8/hbk; 978-3-319-39092-5/ebook). Springer INdAM Series 15, 35-50 (2016). MSC: 93B05 93C20 93B30 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., Springer INdAM Ser. 15, 35--50 (2016; Zbl 1366.93044) Full Text: DOI
Alabau-Boussouira, Fatiha; Nicaise, Serge; Pignotti, Cristina Exponential stability of the wave equation with memory and time delay. (English) Zbl 1394.35037 Favini, Angelo (ed.) et al., New prospects in direct, inverse and control problems for evolution equations. Selected papers based on the presentations at the international conference “Differential equations, inverse problems and control theory, Cortona, Italy, June 16–21, 2013. Cham: Springer (ISBN 978-3-319-11405-7/hbk; 978-3-319-11406-4/ebook). Springer INdAM Series 10, 1-22 (2014). MSC: 35B40 35B35 35L20 35R09 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., Springer INdAM Ser. 10, 1--22 (2014; Zbl 1394.35037) Full Text: DOI arXiv
Alabau-Boussouira, Fatiha Insensitizing exact controls for the scalar wave equation and exact controllability of 2-coupled cascade systems of PDE’s by a single control. (English) Zbl 1291.93032 Math. Control Signals Syst. 26, No. 1, 1-46 (2014). MSC: 93B05 35L05 93C20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira}, Math. Control Signals Syst. 26, No. 1, 1--46 (2014; Zbl 1291.93032) Full Text: DOI arXiv
Alabau-Boussouira, Fatiha; Léautaud, Matthieu Indirect controllability of locally coupled wave-type systems and applications. (English) Zbl 1293.35167 J. Math. Pures Appl. (9) 99, No. 5, 544-576 (2013). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L51 35L90 35Q93 93B05 93B07 93C05 93C20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{M. Léautaud}, J. Math. Pures Appl. (9) 99, No. 5, 544--576 (2013; Zbl 1293.35167) Full Text: DOI
Alabau-Boussouira, Fatiha A hierarchic multi-level energy method for the control of bidiagonal and mixed \(n\)-coupled cascade systems of PDE’s by a reduced number of controls. (English) Zbl 1275.93016 Adv. Differ. Equ. 18, No. 11-12, 1005-1072 (2013). MSC: 93B05 93B07 93A13 93C20 35B35 35L90 93D15 93D20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira}, Adv. Differ. Equ. 18, No. 11--12, 1005--1072 (2013; Zbl 1275.93016) Full Text: arXiv Euclid
Alabau-Boussouira, Fatiha; Léautaud, Matthieu Indirect stabilization of locally coupled wave-type systems. (English) Zbl 1259.35034 ESAIM, Control Optim. Calc. Var. 18, No. 2, 548-582 (2012). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35B40 35L51 93C20 93D20 35L55 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{M. Léautaud}, ESAIM, Control Optim. Calc. Var. 18, No. 2, 548--582 (2012; Zbl 1259.35034) Full Text: DOI EuDML
Alabau-Boussouira, Fatiha; Ammari, Kaïs Sharp energy estimates for nonlinearly locally damped PDEs via observability for the associated undamped system. (English) Zbl 1217.93034 J. Funct. Anal. 260, No. 8, 2424-2450 (2011). MSC: 93B07 93D21 93C20 35L20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{K. Ammari}, J. Funct. Anal. 260, No. 8, 2424--2450 (2011; Zbl 1217.93034) Full Text: DOI
Alabau-Boussouira, Fatiha; Ammari, Kaïs Nonlinear stabilization of abstract systems via a linear observability inequality and application to vibrating PDE’s. (English. Abridged French version) Zbl 1185.93117 C. R., Math., Acad. Sci. Paris 348, No. 3-4, 165-170 (2010). MSC: 93D21 93C20 35L20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{K. Ammari}, C. R., Math., Acad. Sci. Paris 348, No. 3--4, 165--170 (2010; Zbl 1185.93117) Full Text: DOI
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco A general method for proving sharp energy decay rates for memory-dissipative evolution equations. (English. Abridged French version) Zbl 1179.35058 C. R., Math., Acad. Sci. Paris 347, No. 15-16, 867-872 (2009). MSC: 35B40 93D15 35L90 35R09 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{P. Cannarsa}, C. R., Math., Acad. Sci. Paris 347, No. 15--16, 867--872 (2009; Zbl 1179.35058) Full Text: DOI Link
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Sforza, Daniela Decay estimates for second order evolution equations with memory. (English) Zbl 1145.35025 J. Funct. Anal. 254, No. 5, 1342-1372 (2008). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35B45 35B35 35L70 45K05 35L90 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., J. Funct. Anal. 254, No. 5, 1342--1372 (2008; Zbl 1145.35025) Full Text: DOI Link
Alabau, Fatiha; Komornik, Vilmos Boundary observability, controllability, and stabilization of linear elastodynamic systems. (English) Zbl 0935.93037 SIAM J. Control Optimization 37, No. 2, 521-542 (1999). Reviewer: K.N.Srivastava (Bhopal) MSC: 93C20 93D15 93B05 93B07 35L55 PDFBibTeX XMLCite \textit{F. Alabau} and \textit{V. Komornik}, SIAM J. Control Optim. 37, No. 2, 521--542 (1999; Zbl 0935.93037) Full Text: DOI
Alabau, Fatiha; Komornik, Vilmos Boundary observability and controllability of linear elastodynamic systems. (English) Zbl 0889.35060 Cox, Steven (ed.) et al., Optimization methods in partial differential equations. Proceedings from the 1996 joint summer research conference, South Hadley, MA, USA, June 16–20, 1996. Providence, RI: American Mathematical Society. Contemp. Math. 209, 1-8 (1997). Reviewer: Sebastian Aniţa (Iaşi) MSC: 35L55 35Q72 93B05 93B07 93C20 74E10 PDFBibTeX XMLCite \textit{F. Alabau} and \textit{V. Komornik}, Contemp. Math. 209, 1--8 (1997; Zbl 0889.35060)