4 papers
Mean-Field Control Barrier Functions: A Framework for Real-Time Swarm Control
Samy Wu Fung, Levon Nurbekyan
Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocatio…
Monotone inclusion methods for a class of second-order non-potential mean-field games
Levon Nurbekyan, Siting Liu, Yat Tin Chow
We propose a monotone splitting algorithm for solving a class of second-order non-potential mean-field games. Following [Achdou, Capuzzo-Dolcetta, "Mean Field Games: Numerical Meth…
A note on the convergence of the monotone inclusion version of the primal-dual hybrid gradient algorithm
Levon Nurbekyan
The note contains a direct extension of the Chambolle and Pock convergence proof of the primal-dual hybrid gradient (PDHG) algorithm to the case of monotone inclusions.
One-dimensional stationary mean-field games with local coupling
Diogo A. Gomes, Levon Nurbekyan, Mariana Prazeres
A standard assumption in mean-field game (MFG) theory is that the coupling between the Hamilton-Jacobi equation and the transport equation is monotonically non-decreasing in the de…