Lyapunov function construction for ordinary differential equations with linear programming

By Sigurður F. Marinósson. 2002

78 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c9ffb87ced7c80b7a0d3adba1bf74156ee8a9d97

How researchers see this paper

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

In Control and Systems Engineering

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Lars Grüne
4. Huijuan Li
5. Robert Baier
6. David Q. Mayne

In Geometry and Topology

1. Peter Giesl
2. Sigurdur Freyr Hafstein
3. Lars Grüne
4. Huijuan Li

In Numerical Analysis

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Lars Grüne
4. Huijuan Li

Citations in the corpus

• Linear programming based Lyapunov function computation for differential inclusions (2011, background): “There is a variety of possibilities of defining Lyapunov functions for differential inclusions.”
• Computation of local ISS Lyapunov functions for discrete-time systems via linear programming (2016, methodology): “The approach to use linear programming for the computation of Lyapunov functions was first presented in [16].”
• A CONSTRUCTIVE CONVERSE LYAPUNOV THEOREM ON EXPONENTIAL STABILITY (2004, methodology): “2, which is a non-constructive converse theorem, is used to assign values to the variables of the linear programming problem introduced in [5] and [6] and defined in Section 2 here.”
• Revised CPA method to compute Lyapunov functions for nonlinear systems (2014, methodology): “In [9], the authors showed that the triangulation scheme used in [25, 13, 14, 15] does in general generate suboptimal triangles at the equilibrium.”