4 papers
A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems
Andreas Ernst, Lars Grüne, Janosch Rieger
We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that in…
Explicit Formula for Preimages of Relaxed One-Sided Lipschitz Mappings with Negative Lipschitz Constants
Andrew C. Eberhard, Boris S. Mordukhovich, Janosch Rieger
This paper addresses Lipschitzian stability issues that play an important role in both theoretical and numerical aspects of variational analysis, optimization, and their applicatio…
On the solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces
Janosch Rieger, Tobias Weth
We prove solvability theorems for relaxed one-sided Lipschitz multivalued mappings in Hilbert spaces and for composed mappings in the Gelfand triple setting. From these theorems, w…
Approximation of reachable sets using optimal control and support vector machines
Martin Rasmussen, Janosch Rieger, Kevin Webster
We propose and discuss a new computational method for the numerical approximation of reachable sets for nonlinear control systems. It is based on the support vector machine algorit…