410 citations
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math.OC2024★ 4 cited
Linear quadratic control of nonlinear systems with Koopman operator learning and the Nyström method
Edoardo Caldarelli, Antoine Chatalic, Adrià Colomé +4
In this paper, we study how the Koopman operator framework can be combined with kernel methods to effectively control nonlinear dynamical systems. While kernel methods have typical…
math.OC2021★ 12 cited
Distributed Augmented Lagrangian Method for Link-Based Resource Sharing Problems of Multi-Agent Systems
Wicak Ananduta, Angelia Nedić, Carlos Ocampo-Martinez
A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongl…