Finding cones for K-cooperative systems

Dimitris Kousoulidis; Fulvio Forni

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arXiv · 1903.07924

Finding cones for K-cooperative systems

Dimitris Kousoulidis·Fulvio Forni

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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.

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Dimitris Kousoulidis, Fulvio Forni. 2019-03-19. Finding cones for K-cooperative systems. https://arxiv.org/abs/1903.07924

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