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arxiv: 1903.07924 · v2 · pith:UGVP56BAnew · submitted 2019-03-19 · 🧮 math.OC · cs.SY· eess.SY

Finding cones for K-cooperative systems

classification 🧮 math.OC cs.SYeess.SY
keywords analysisfindingsystemsaddressagentalgorithmapproachbeyond
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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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