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- W4229042095 abstract "A strongly convex function naturally induces a gradient flow that is contractive. This paper is a short investigation on when the converse to the previous statement holds. That is, given a differential equation that is contractive, does there exist a strongly convex function that induces the differential equation? We show that, if sufficient smoothness of the vector field is assumed, then the contractivity of such a differential equation with a symmetric Jacobian is equivalent to the existence of a strongly convex function which induces the differential equation as its gradient flow." @default.
- W4229042095 created "2022-05-08" @default.
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- W4229042095 date "2022-08-01" @default.
- W4229042095 modified "2023-09-24" @default.
- W4229042095 title "A note on the equivalence of a strongly convex function and its induced contractive differential equation" @default.
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- W4229042095 doi "https://doi.org/10.1016/j.automatica.2022.110349" @default.
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