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A collisionless singular cucker-smale model with decentralized formation control (2019)
Journal Article
Peters, A. A., Choi, Y., Kalise, D., & Peszek, J. (2019). A collisionless singular cucker-smale model with decentralized formation control. SIAM Journal on Applied Dynamical Systems, 18(4), 1954-1981. https://doi.org/10.1137/19M1241799

We address the design of decentralized feedback control laws inducing consensus and prescribed spatial patterns over a singular interacting particle system of Cucker-Smale type. The control design consists of a feedback term regulating the distance b... Read More about A collisionless singular cucker-smale model with decentralized formation control.

On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings (2019)
Journal Article
Briceño-Arias, L., Kalise, D., Kobeissi, Z., Laurière, M., Mateos González, Á., & Silva, F. (2019). On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings. ESAIM. Proceedings and surveys, 65, 330-348. doi:10.1051/proc/201965330

We study a numerical approximation of a time-dependent Mean Field Game (MFG) system with local couplings. The discretization we consider stems from a variational approach described in [14] for the stationary problem and leads to the finite difference... Read More about On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings.

Optimal actuator design based on shape calculus (2018)
Journal Article
Kalise, D., Kunisch, K., & Sturm, K. (2018). Optimal actuator design based on shape calculus. Mathematical Models and Methods in Applied Sciences, 28(13), 2667-2717. https://doi.org/10.1142/S0218202518500586

An approach to optimal actuator design based on shape and topology optimization techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condi... Read More about Optimal actuator design based on shape calculus.