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Contraction Analysis of Monotone Systems

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A dynamical system is called monotone if its trajectory preserves a partial order of the initial states. For instance, biological systems, transportation networks, and social dynamics are often modeled as monotone systems. In this talk, we study incremental exponential stability of monotone systems through contraction analysis. Especially, we provide separable types necessary and sufficient conditions under standard assumptions for the converse Lyapunov theorem of exponential stability.

This talk is part of the CUED Control Group Seminars series.

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