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Submitted Papers

  • Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller, (with B. Brogliato and B.K. Le) submitted. Abstract

  • Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions, (with A. Hantoute and M. Théra) submitted. Abstract

  • Simple Convex Bilevel Programming Problems: Regularization and Duality Approach, (with A. Aboussoror). Submitted . Abstract


Refereed Publications


2014

  • Newton's method for solving inclusions using set-valued approximations, (with R. Cibulka and H.V. Ngai) Accepted for publication in SIAM Journal on Optimization: SIOPT. Abstract

  • A new method for solving Second-Order Cone Eigenvalue Complementarity Problem, (with H. Rammal) Accepted for publication in Journal of Optimization Theory and Applications: JOTA. Abstract

  • On one-sided Lipschitz stability of set-valued contractions, (with A.L. Dontchev and M. Théra) Accepted for publication in Numerical Functional Analysis and Optimization: NFAO. Abstract

  • Optimal Guaranteed Cost Control of Nonlinear Time-Varying Delay Systems via Static Output Feedback, (with T.T. Trang and V.N. Phat). Accepted for publication in Pacific Journal of Optimization. Abstract

  • Generalized Semi-Infinite Programming: Optimality Conditions Involving Reverse Convex Problems, (with A. Aboussoror). Accepted for publication in Numerical Functional Analysis and Optimization. Abstract


2013

  • Convex Sweeping Process in the framework of Measure Differential Inclusions and Evolution Variational Inequalities, (with T. Haddad and L. Thibault), accepted for publication in Mathematical Programming serie B. Abstract

  • Quantitative stability of a generalized equation. Application to non-regular electrical circuits, (with R. Cibulka) accepted for publication in Journal of Optimization Theory and Applications JOTA. Abstract

  • Well-posedness, Robustness and Stability Analysis of a Set-Valued Controller for Lagrangian Systems, (with B. Brogliato and B. K. Le), SIAM Journal on Control and Optimization 51 (2013), no. 2, 1592–1614. Abstract
  • Stability and invariance results for a class of non-monotone set-valued Lur’e dynamical systems, (with B. K. Le) to appear in Applicable Analysis. . Abstract

  • A New Method for Solving Pareto Eigenvalue Complementarity Problems, (with H. Rammal), Computational Optimization and Applications 55, No 3, pp 703-731 (2013). Abstract
  • Variational Analysis and Generalized Equations in Electronics. Stability and Simulation Issues, (with R. Cibulka and H. Massias), Set-Valued and Variational Analysis 21 (2013), no. 2, 333–358. Abstract
  • On some dynamic thermal non clamped contact problems, (with O. Chau), Mathematical Programming serie B, No 1-2, pp 5-26 (2013) Abstract
  • Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics, (with J.V. Outrata), Journal of Convex Analysis 20, 1 (2013) Abstract

2012

  • Stability Analysis and Attractivity Results of a DC-DC Buck Converter, (with D. Goeleven and B. K. Le), Set Valued and Variational Analysis (2012) 20:331-353 Abstract
  • Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions, (with A.Hantoute and M. Thera), Nonlinear Analysis: Theory, Methods and Applications 75, 3 (2012) 985-1008 Abstract
  • Solvability of a class of thermal dynamical contact problems with subdifferential conditions, (with O. Chau and M. Rochdi), Numerical Algebra, Control and Optimization 2, 1, pp 91-104 (2012). Abstract

2011

  • A Fenchel-Lagrange Duality Approach for a Bilevel Programming Problem with Extremal-Value Function, (with A. Aboussoror), Journal of Optimization Theory and Applications 149, 2 (2011) 254-268 Abstract
  • Finite-time Lyapunov stability analysis of evolution variational inequalities, (with K. Addi and H. Saoud), Discrete and Continuous Dynamical Systems - Series A 31, 4 (2011) 1023-1038 Abstract
  • A nonsmooth algorithm for cone-constrained eigenvalue problems, (with A. Seeger), Computational Optimization and Applications 49, 2 (2011) 299-318 Abstract
  • Weak Nonlinear Bilevel Problems : Existence of Solutions via Reverse Convex and Convex Maximization Problems, (with A. Aboussoror and V. Jalby), Journal of Industrial and Management Optimization 7, 3 (2011) 559-571 Abstract

2010

  • Optimal control of a quasi-variational obstacle problem, (with M. Ait-Mansour and M. Bergounioux), Journal of Golobal Optimization, Vol. 47, Number 3, pp 421-435 (2010). Abstract

2009

  • Periodic solutions of Evolution Variational Inequalities: a method of guiding functions, (with D. Goeleven and M. Théra), Chinese Annals of Mathematics, Series B , no 3, pp 261-272 (2009).

2008

  • A sensitivity analysis of a class of semi-coercive variational inequalities using recession tools, (with K. Addi, D. Goeleven and H. Saoud), Journal of Global Optimization, vol. 40, no. 1, pp. 7-27 (2008).

2007

  • A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics, (with K. Addi, B. Brogliato and D. Goeleven), Nonlinear Analysis: Hybrid Systems and Applications, N° 1, pp 315-324 (2007).
  • A continuation method for a class of periodic evolution variational inequalities, (with D. Goeleven and M. Théra), Some Topics in Industrial and Applied Mathematics. Series in Contemporary Applied Mathematics CAM 8, pp 1-28 (2007).
  • Stability analysis of filtered mass-spring systems, (with A. Ahmad, D. Ghazanfarpour and O. Terraz), Proceedings of theory and practice of computer graphics, 2007, pp 45-52 (Bangor, England).
  • Existence Results for a Class of Periodic Evolution Variational Inequalities, Chinese Annals of Mathematics - Series B, Volume 28, Number 6, pp 629-650 (2007).

2006

  • Finite time stabilization of nonlinear oscillators subject to dry friction, (with H. Attouch, A. Cabot). Progresses in Nonsmooth Mechanics and Analysis (edited by P. Alart, O. Maisonneuve and R.T. Rockafellar), Advances in Mathematics and Mechanics, Kluwer, pp 289-304, (2006).
  • Attractivity Theory for Second Order Nonsmooth Dynamical Systems with application to dry friction, Journal of Mathematical Analysis and Applications, 322 pp 1055-1070 (2006). Abstract
  • Sensitivity analysis of solutions to a class of quasi-variational inequalities, (with M. Ait-Mansour and L. Scrimali), Bulletino Della Unione Mathematica Italiana (BUMI) pp 767-772 (2006).
  • Stability in frictional unilateral elasticity revisited : an application of the theory of semi-coercive variational inequalities, (with E. Ernst et M. Théra), Proceeding of American Institute of Physics, Vol. 835, pp 1-11 (2006).
  • The approach of Moreau and Panagiotopoulos: use it in electronics, (with K. Addi, B. Brogliato and D. Goeleven), accepté dans Proceeding of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering (NNMAE2006) pp 471-478 (2006).
  • Stability of linear semi-coercive variational inequalities in Hilbert spaces: application to the Signorini-Fichera Problem, Journal of Nonlinear and Convex Analysis, N° 3, pp 325-334 (2006). Abstract
  • A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem, (with K. Addi, D. Goeleven and M. Théra), Journal of Nonlinear and Convex Analysis, N°3, pp 315-324 (2006). Abstract
  • Stabilisation par filtrage de méthodes d'intégration explicite, (with A. Ahmad, D. Ghazanfarpour and O. Terraz), Journées AFIG pp 73-80 (2006).

2004

  • Norm Closure of the Barrier cone in normed linear spaces, (with E. Ernst and M. Théra), Proc. Amer. Math. Soc., 132 no 10, pp 2911-2915 (2004). Abstract
  • Well-positioned closed convex sets and well-positioned closed convex functions, (with E. Ernst and M. Théra), Journal of Global Optimization, 29 (4), pp 337-351 (2004).
  • A stability Theory for second-order nonsmooth dynamical systems with application to friction problems, (with D. Goeleven), Journal de Mathématiques Pures et Appliquées, Vol. 83, pp 17-51 (2004). Abstract

2003

  • On the closedness of the algebraic difference of closed convex sets, (with E. Ernst and M. Théra), Journal de Mathématiques Pures et Appliquées, Vol. 82, 9, pp 1219-1249 (2003). Abstract

2002

  • Stability of Noncoercive Variational Inequalities, (with E. Ernst and M. Théra), Communication in Contemporary Mathematics,4 No 1, pp 145-160 (2002).
  • On the converse of the Dieudonné theorem in reflexive Banach spaces, (with E. Ernst and M. Théra), Cybernetics System Anal., Special Issue in memorium Prof. N.B. Pshenitchnyi, 38 No 3, pp 34-39 (2002).

2001

  • A Characterization of Convex and Semicoercive Functionals, (with E. Ernst and M. Théra) Journal of Convex Analysis, Volume 8, No 1, pp 127-148 (2001). Abstract
  • Satbilité de l'ensemble des solutions d'une inéquation variationnelle non coercive, (with E. Ernst and M. Théra), Compte Rendu de l'Académie des Sciences (CRAS), T. 333 Série I, pp 409-414 (2001).

2000

  • A Discretization Theory for a Class Semi-coercive Unilateral Problems, (with D. Goeleven), Numerishe Mathematik, 87, pp 1-34 (2000). Abstract
  • Periodic solutions for second order differential equations involving non-convex superpotentials, (with D. Motreanu) Journal of Global Optimization, 17, pp 9-17 (2000). Abstract
  • Location of eigensolutions to variational-hemivariational inequalities, (avec D. Motreanu), Journal of Nonlinear and Convex analysis, Vol. 1, No 3, pp 255-270, (2000).

1999

  • Solvability of generalized nonlinear symmetric variational inequalities, ( with W. Oettli), Bullettin of the Austrelian Mathematical Society, Ser. B (40), pp 289-300 (1999). Abstract

1998

  • Critical points for nonsmooth energy functions and applications, (with G. Buttazzo and M. Théra), Nonlinear Analysis, Theory Methods and Applications, Vol. 32, No 6, pp. 711-718 (1998).
  • Unilateral Hamiltonian Systems: a survey on the inequality approach, (with D. Goeleven and D. Motreanu), Advances in Nonlinear Variational Inequalities, 1 , no. 1, pp 11--26 (1998) Abstract

1997

  • Periodic and homoclinic solutions for a class of unilateral problems, (with D. Goeleven and D. Motreanu), Discrete and Continuous Dynamical Systems, vol. 3, Number 4, October (1997). Abstract

1996

  • Recession mappings and noncoercive variational inequalities, (with D. Goeleven and M. Théra), Journal of Nonlinear Analysis, Theory Methods and Applications , Vol. 26, No. 9, pp 1573-1603 (1996). Abstract
  • A perturbed iterative method for a general class of variational inequalities, Serdica Mathematical Journal, Vol. 22, pp 69-82 (1996). Abstract
  • Iterative algorithms and sensivity analysis for a general class of variational inclusions, Journal of Mathematical Analysis and Applications, 201, pp 609-630 (1996). Abstract

1995

  • Periodic solutions for a class of hemivariational inequalities, (with D. Goeleven), Communications on Applied Nonlinear Analysis, 2, No. 2, pp 47-58 (1995). Abstract
  • Homoclinic orbits for a class of hemivariational inequalities, (with D. Goeleven), Journal of Applicable Analysis, Vol. 58, pp 229-240 (1995). Abstract
  • Recession methods in monotone variational hemivariational inequalities, (with D. Goeleven and M. Théra), Journal of Topological Methods in Nonlinear Analysis, Vol. 5, No. 2, pp. 397-409, 1995. Abstract