Finding cones for K-cooperative systems
arXiv:1903.07924
Abstract
We design and test a cone finding algorithm to robustly address nonlinear system analysis through differential positivity. The approach provides a numerical tool to study multi-stable systems, beyond Lyapunov analysis. The theory is illustrated on two examples: a consensus problem with some repulsive interactions and second order agent dynamics, and a controlled duffing oscillator.
6 pages, to be presented in the 58th IEEE Conference on Decision and Control (CDC)