Boundary controllability of the finite-difference space semi-discretizations of the beam equation

By L. León, Enrique Zuazua. 2002

91 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9907a2bfa3d01385055bcb71ed2cb1b6cd5dae59

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Emmanuel Trélat
2. Yacine Chitour
3. Luc Miller
4. Enrique Zuazua
5. Sylvain Ervedoza
6. Nazim Idrisoglu Mahmudov

In Computational Theory and Mathematics

1. Enrique Zuazua
2. Emmanuel Trélat
3. Luc Miller
4. Yacine Chitour
5. Sylvain Ervedoza
6. Marius Tucsnak
7. Piermarco Cannarsa
8. Manuel González-Burgos

In Control and Systems Engineering

1. Enrique Zuazua
2. Emmanuel Trélat
3. Luc Miller
4. Yacine Chitour
5. Sylvain Ervedoza
6. Marius Tucsnak
7. Piermarco Cannarsa
8. Xu Zhang

Citations in the corpus

• Controllability of partial differential equations (2006, background): “Zuazua and collaborators in a series of articles [5, 9, 16, 21, 22, 24, 30, 36, 37, 38, 39], for different discretization processes, on different examples.”
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods (2005, methodology): “However, the methods and results in [76] apply in this context too (see [65]).”
• Resolvent conditions for the control of unitary groups and their approximations (2012, background): “It is proved in [21] and [27] that D 2 is optimal for the boundary observation of one-dimensional”
• CONTROLLABILITY OF PARTIAL DIFFERENTIAL EQUATIONS AND ITS SEMI-DISCRETE APPROXIMATIONS (2006, methodology): “León and the author [137] the problem of boundary controllability of finite difference space semi-discretizations of the beam equation ytt + yxxxx = 0 was addressed.”