Research - Cerpa

Publications

Journal Papers

30. E. Hernández, C. Prieur, E. Cerpa, A tracking problem for the State of Charge in an Electrochemical Li-ion battery model, submitted. (paper.pdf)

29. E. Cerpa, E. Crépeau, J. Valein, Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network, Evol. Equ. Control Theory, to appear. (paper.pdf)

28. N. Carreño, E. Cerpa, E. Crépeau, Internal null controllability of the generalized Hirota-Satsuma system, ESAIM Control Optim. Calc. Var., to appear. (paper.pdf)

27. E. Cerpa, C. Prieur, Singular perturbation analysis of a coupled system involving the wave equation, IEEE Trans. Automat. Control, to appear. (paper.pdf)

26. E. Cerpa, E. Crépeau, C. Moreno, On the boundary controllability of the Korteweg-de Vries equation on a star-shaped network, IMA Journal of Math. Control and Information, to appear. (paper.pdf)

25. E. Cerpa, C. Montoya, B.-Y. Zhang, Local exact controllability to the trajectories of the Korteweg-de Vries-Burgers equation on a bounded domain with mixed boundary conditions, J. Differential Equations, to appear. (paper.pdf)

24. N. Carreño, E. Cerpa, A. Mercado, Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations, Systems and Control Letters, Vol. 133, 2019, art. 104542. (paper.pdf)

23. E. Cerpa, I. Rivas, On the controllability of the Boussinesq equation in low regularity, Journal of Evolution Equations, Vol. 18, No. 3, 2018, pp. 1501-1519. (paper.pdf)

22. E. Cerpa, E. Crépeau, On the control of the improved Boussinesq equation, SIAM J. Control Optim., Vol. 56, No. 4, 2018, pp. 3035-3049. (paper.pdf)

21. C. Roman, D. Bresch-Pietri, E. Cerpa, C. Prieur and O. Sename, Backstepping control of a wave PDE with unstable source terms and dynamic boundary, IEEE Control Systems Letters, Vol. 2, No. 3, 2018, pp. 459-464. (paper.pdf)

20. S. Marx, E. Cerpa, Output feedback stabilization of the Korteweg-de Vries equation, Automatica, Vol. 87, 2018, pp. 210-217. (paper.pdf)

19. S. Marx, E. Cerpa, C. Prieur, V. Andrieu, Global stabilization of a Korteweg-de Vries equation with saturating distributed control, SIAM J. Control Optim., Vol. 55, No. 3, 2017, pp. 1452-1480. (paper.pdf)

18. E. Cerpa, P. Guzmán, A. Mercado, On the control of the linear Kuramoto-Sivashinsky equation, ESAIM Control Optim. Calc. Var., Vol. 23, 2017, pp. 165-194. (paper.pdf)

17. B. M. R. Calsavara, N. Carreño, E. Cerpa, Insensitizing controls for a phase field system, Nonlinear Anal., Vol. 143, 2016, pp. 120-137. (paper.pdf)

16. N. Carreño, E. Cerpa, Local controllability of the stabilized Kuramoto-Sivashinsky system by a single control acting on the heat equation, J. Math. Pures Appl. (9), Vol. 106, No. 4, 2016, pp. 670-694. (paper.pdf)

15. F. Araruna, E. Cerpa, A. Mercado, M. Santos, Internal null controllability of a linear Schrodinger-KdV system on a bounded interval, J. Differential Equations, Vol. 260, No. 1, 2016, pp. 653-687. (paper.pdf)

14. E. Cerpa, A. Mercado, A. Pazoto, Null controllability of the stabilized Kuramoto-Sivashinsky system with one distributed control, SIAM J. Control Optim., Vol. 53, No. 3, 2015, pp. 1543-1568. (paper.pdf)

13. L. Baudouin, E. Cerpa, E. Crépeau, A. Mercado, On the determination of the principal coefficient from boundary measurements in a KdV equation, J. Inverse Ill-Posed Probl., Vol. 22, No. 6, 2014, pp. 819-846. (paper.pdf)

12. E. Cerpa, Control of a Korteweg-de Vries equation: a tutorial, Math. Control Relat. Fields, Vol. 4, No. 1, 2014, pp. 45-99. (paper.pdf)

11. E. Cerpa, I. Rivas, B.-Y. Zhang, Boundary controllability of the Korteweg-de Vries equation on a bounded domain, SIAM J. Control Optim., Vol. 51, No. 4, 2013, pp. 2976-3010. (paper.pdf)

10. L. Baudouin, E. Cerpa, E. Crépeau, A. Mercado, Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation, Appl. Anal., Vol. 92, No. 10, 2013, pp. 2084-2102. (paper.pdf)

9. E. Cerpa, J.-M. Coron, Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition, IEEE Trans. Automat. Control, Vol. 58, No. 7, 2013, pp. 1688-1695. (paper.pdf)

8. E. Cerpa, A. Mercado, A. Pazoto, On the boundary control of a parabolic system coupling KS-KdV and Heat equations, Scientia Series A: Mathematical Sciences, Vol. 22, 2012, pp. 55-74. (paper.pdf)

7. E. Cerpa, A. Pazoto, A note on the paper "On the controllability of a coupled system of two Korteweg-de Vries equations" , Comm. Contemp. Math., Vol. 13, No. 1, 2011, pp. 183-189. (paper.pdf)

6. E. Cerpa, A. Mercado, Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation, J. Differential Equations, Vol. 250, No. 4, 2011, pp. 2024-2044. (paper.pdf)

5. A. Smyshlyaev, E. Cerpa, M. Krstic, Boundary stabilization of a 1-D wave equation with in-domain anti-damping, SIAM J. Control Optim., Vol. 48, No. 6, 2010, pp. 4014-4031. (paper.pdf)

4. E. Cerpa, Null controllability and stabilization of a linear Kuramoto-Sivashinsky equation, Commun. Pure Appl. Anal., Vol. 9, No. 1, 2010, pp. 91-102. (paper.pdf)

3. E. Cerpa, E. Crépeau, Rapid exponential stabilization for a linear Korteweg-de Vries equation, Discrete Contin. Dyn. Syst. Ser. B, Vol. 11, No. 3, 2009, pp. 655-668. (paper.pdf)

2. E. Cerpa, E. Crépeau, Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain, Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol. 26, No. 2, 2009, pp. 457-475. (paper.pdf)

1. E. Cerpa, Exact controllability of a nonlinear Korteweg-de Vries equation on a critical spatial domain, SIAM J. Control Optim., Vol. 46, No. 3, 2007, pp. 877-899. (paper.pdf)

Thesis

2. E. Cerpa, Controlabilité et stabilisation frontière de l'équation de Korteweg-de Vries, Tesis de doctorado, Laboratoire de Mathématiques, Université Paris-Sud, Orsay, Francia, 2008. (thesis.pdf)

1. E. Cerpa, Un problema de interacción fluido-estructura y aplicación del control exacto a un problema inverso, Memoria de ingeniero, Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile, 2004. (thesis.pdf)

Lecture Notes

6. E. Cerpa, Control y estabilización del péndulo. Apuntes para un curso de 3 horas que tuvo lugar en el II Encuentro Nacional de Ingeniería Matemática, Valparaíso, Noviembre 2016. (notes.pdf)

5. E. Cerpa, P. Gajardo, Control y optimización de sistemas dinámicos. Apuntes para un curso de 7.5 horas que tuvo lugar en IV Escuela del Doctorado en Matemática, Valparaíso, Octubre 2015. (notes.pdf)

4. E. Cerpa, Teoría de Control, el ejemplo del péndulo. Apuntes para un curso de 2 horas que tuvo lugar en VI Jornadas de Matemática IMUV, Valparaíso, Diciembre 2014. (notes.pdf)

3. E. Cerpa, Stabilization methods for the Korteweg-de Vries equation. Notes for a 3 hour-course at 33th International Summer School of Automatic Control, Grenoble, Septiembre 2012. (notes.pdf) (slides.pdf)

2. E. Cerpa, Control of a Korteweg-de Vries equation: a tutorial. Notes for a 5 hour-course at PASI Summer School Inverse Problem and Control of PDE, Santiago, January 2012. (notes.pdf)

1. E. Cerpa, Introducción a la Teoría de Control. Apuntes para un curso de 3 horas que tuvo lugar en XXXVI Semana de la Matemática, Valparaíso, Octubre 2009. (notes.pdf)

Conference Papers and others

11. P. Guzman, S. Marx, E. Cerpa, Stabilization of the linear Kuramoto-Sivashinsky equation with a delayed boundary control , IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Oaxaca, 2019. (paper.pdf)

10. C. Roman, D. Bresch-Pietri, E. Cerpa, C. Prieur and O. Sename, Backstepping control of a wave PDE with unstable source terms and dynamic boundary, IEEE Conference on Decision and Control, Miami, 2018. (See journal paper IEEE CSL 2018)

9. E. Cerpa and C. Prieur, Effect of time scales on stability of coupled systems involving the wave equation, IEEE Conference on Decision and Control, Melbourne, 2017. (paper.pdf)

8. C. Roman, D. Bresch-Pietri, E. Cerpa, C. Prieur and O. Sename, Backstepping Observer Based- Control for an Anti-Damped Boundary Wave PDE in Presence of In-Domain Viscous Damping, IEEE Conference on Decision and Control, Las Vegas, 2016. (paper.pdf)

7. S. Marx, E. Cerpa, C. Prieur, V. Andrieu, Global stabilization of a Korteweg-de Vries equation with a distributed control saturated in L2-norm, IFAC Symposium for Nonlinear Control, Monterey, 2016. (paper.pdf)

6. E. Cerpa, Boundary control of Korteweg-de Vries and Kuramoto-Sivashinsky PDEs, Encyclopedia of Systems and Control, edited by Tariq Samad and John Baillieul, Springer-Verlag London, 2015. (paper.pdf)

5. S. Marx, E. Cerpa, C. Prieur, V. Andrieu, Stabilization of a linear Korteweg-de Vries equation with a saturated internal control, European Control Conference, Linz, 2015. (paper.pdf)

4. S. Marx, E. Cerpa, Output Feedback Control of the Linear Korteweg-de Vries Equation, IEEE Conference on Decision and Control, Los Angeles, 2014. (paper.pdf)

3. A. Smyshlyaev, E. Cerpa, M. Krstic, Boundary stabilization of an anti-stable wave equation with in-domain anti-damping, IEEE Conference on Decision and Control, Shanghai, 2009. (paper.pdf)

2. E. Crépeau, E. Cerpa, Rapid stabilization of a linear Korteweg de Vries equation, IFAC Workshop on Control of Distributed Parameter Systems, Toulouse, 2009.

1. E. Crépeau, E. Cerpa, Controllability of the nonlinear Korteweg-de Vries equation for critical spatial lengths, IFAC Workshop on Control of Distributed Parameter Systems, Namur, 2007.