Research Preprints and Papers
- J. Martínez-Frutos, M. Kessler, F. Periago Robust optimal shape design for an elliptic PDE with uncertainty in its input data. Preprint (PDF)
- R. Font, J. García-Peláez, J.A. Murillo and F. Periago,
Modelling, Analysis and control of blowing-venting
operations in manned submarines. To appear in Journal of
Control Engineering and Technology (2014).
- F. Periago, Optimal design of the time-dependent support
of bang-bang type controls for the approximate
controllability of the heat equation, Journal of
Optimization Theory and Applications. DOI
10.1007/s10957-013-0447-9 Preprint (PDF)
- A. Münch and F. Periago, Numerical approximation of bang-bang controls for the heat equation: an optimal design approach, Systems and Control Letters, 62 (2013) 643-655 Preprint (PDF)
- R. Font, P. Pedregal and F. Periago, A numerical method
for computing optimal controls in feedback and digital forms
and its application to the blowing-venting control system of
manned submarines. Optimal Control. Applications and
Methods, (2013);34, 236-252 . Preprint (PDF)
- D. M. Ovalle, J. García and F. Periago, Analysis and
numerical simulation of a nonlinear mathematical model for
testing the manoeuvrability capabilities of a submarine, Nonlinear Analysis: Real World
Applications 12 (2011) 1654-1669. Preprint
(PDF)
- A. Münch and F. Periago, Optimal distribution of the
internal null control for the one-dimensional heat equation, J. Differential Equations 250 (2011)
95-111 Preprint
(PDF)
- G. Allaire, A. Münch and F. Periago, Long time behavior of
a two-phase optimal design for the heat equation, SIAM Journal on Control and Optimization
Vol. 48 No. 8 (2010) pp. 5333-5356 Preprint
(PDF)
- R. Font and F. Periago, Numerical simulation of the
boundary exact control for the system of linear elasticity. Applied Mathematics Letters 23 (2010)
1021-1026 Preprint
(PDF)
- F. Periago and J. Tiago, A local existence result for an
optimal control problem modeling the manoeuvring of an
underwater vehicle. Nonlinear Analysis: Real World
Applications 11 (2010) 2573-2583 . Preprint
(PDF)
- F. Periago, Optimal shape and position of the support for
the internal exact control of a string. Systems and Control Letters 58 (2009)
136-140. Preprint
(PDF)
- A. Münch, P. Pedregal and F. Periago, Optimal internal
stabilization of the linear system of elasticity. Archive for Rational Mechanics and
Analysis 193 (2009) nº1, 171-193. Preprint
(PDF)
- P. Pedregal, F. Periago and J. Villena, A numerical
method of local energy decay for the boundary
controllability of time-reversible distributed parameter
systems. Studies in Applied Mathematics Vol. 121
(1) (2008), 27-47. Preprint
(PDF)
- A. Münch, P. Pedregal and F. Periago, Relaxation of an
optimal design problem for the heat equation. Journal de Mathématiques Pures et
Appliquées 89 (2008), 225-247. Preprint
(PDF)
- A. Münch, P. Pedregal and F. Periago, Optimal design of
the damping set for the stabilization of the wave equation. J. Differential Equations, 231 (2006)
331-358.
Preprint (PDF)
- A. Münch, P. Pedregal and F. Periago, A variational
approach to a shape design problem for the wave equation, C.R.Acad. sci. Paris Ser. I, 343 (2006)
371-376
- P. Pedregal and F. Periago, Some remarks on homogenization
and boundary exact controllability for the one-dimensional
wave equation.
Quarterly of Applied Mathematics, 64 (2006) 515-527
- F. Periago, Global existence, uniqueness and continuous
dependence for a semilinear initial value problem, Journal of Mathematical Analysis and
Applications, 280 nº 2, 415-425 (2003)
- F. Periago and B. Straub, On the existence and uniqueness
of solutions for an incomplete second-order abstract Cauchy
problem, Studia Mathematica, 155 nº 2, 183-193
(2003). Preprint
(PDF)
- F. Periago and B. Straub, A functional calculus for almost
sectorial operators and applications to abstract evolution
equations, Journal of Evolution Equations, 2, nº 1,
41-68 (2002).
Preprint (PDF)
- C. Martínez, M. Sanz and F. Periago, Distributional
fractional powers of the Laplacean. Riesz potentials, Studia Mathematica, 153, 253-271 (1999). Preprint (PDF)