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Robustness of contraction metrics computed by radial basis functions. (English) Zbl 1531.93178

Gusikhin, Oleg (ed.) et al., ICINCO 2021. Proceedings of the 18th international conference on informatics in control, automation and robotics, virtual, July 6–8, 2021. Setúbal: SCITEPRESS – Science and Technology Publications. 592-599 (2021).
Summary: We study contraction metrics computed for dynamical systems with periodic orbits using generalized interpolation with radial basis functions. The robustness of the metric with respect to perturbations of the system is proved and demonstrated for two examples from the literature.
For the entire collection see [Zbl 1485.93014].

MSC:

93C15 Control/observation systems governed by ordinary differential equations
65D12 Numerical radial basis function approximation