Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization

By Lars Grüne. 2002

162 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/90aa75e5d75ad70714bb0466879e134db6689092

How researchers see this paper

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

In Computational Theory and Mathematics

1. Dragan Nesic
2. Andrew R. Teel
3. Sigurdur Freyr Hafstein
4. Peter Giesl
5. M. Lemmon
6. W. M. Heemels
7. Xiaofeng Wang
8. Paulo Tabuada

In Control and Systems Engineering

1. Dragan Nesic
2. Sigurdur Freyr Hafstein
3. Andrew R. Teel
4. Peter Giesl
5. M. Lemmon
6. W. M. Heemels
7. Paulo Tabuada
8. Daniele Carnevale

In Numerical Analysis

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Andrew R. Teel
4. Dragan Nesic

Citations in the corpus

• Revised CPA method to compute Lyapunov functions for nonlinear systems (2014, background): “[12] L. Grüne, “Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization ”, in: Lecture Notes in Mathematics 1783, Springer, 2002.”
• Review on computational methods for Lyapunov functions (2015, methodology): “In Gr¨une 2002 [105], set-oriented methods and a subdivision algorithm are used to construct Lyapunov functions.”
• A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models (2004, background): “out recent results in [14] that can be used to produce approximate discrete-time models for control systems with measurable disturbances.”