Uniformly exponentially stable approximations for a class of second order evolution equations

By Karim Ramdani, Takéo Takahashi, Marius Tucsnak. 2007

83 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2f62e115662a43eb3de6cce2ed412eea282e73b7

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. Enrique Zuazua
4. Ademir Fernando Pazoto
5. Arnaud Münch
6. Sylvain Ervedoza
7. Nazim Idrisoglu Mahmudov

In Control and Systems Engineering

1. Ademir Fernando Pazoto
2. Enrique Zuazua
3. Emmanuel Trélat
4. Yacine Chitour
5. Arnaud Münch
6. Sylvain Ervedoza
7. Xu Zhang
8. Piermarco Cannarsa

In Numerical Analysis

1. Yacine Chitour
2. Emmanuel Trélat
3. Enrique Zuazua
4. Ademir Fernando Pazoto
5. Arnaud Münch

Citations in the corpus

• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods (2005, background): “This negative result also has important consequences in many other issues related with control theory like infinite horizon control problems, Riccati equations for the optimal stabilizing feedback (see [89]), etc.”
• Controllability of partial differential equations (2006, methodology): “The discretization framework used here is in the same spirit as the one of [1, 2, 6, 10, 14, 20, 26].”
• UNIFORM STABILIZATION OF A VISCOUS NUMERICAL APPROXIMATION FOR A LOCALLY DAMPED WAVE EQUATION (2007, methodology): “Furthermore, a similar uniform result is obtained in [21] in the framework of the finite element approximation.”