Asymptotic behavior and control of a “guidance by repulsion” model

Dongnam Ko, E. Zuazua. Asymptotic behavior and control of a “guidance by repulsion” model Abstract. We model and analyze a herding problem, where the drivers try to steer the evaders’ trajectories while the evaders always move away from the drivers. This problem is motivated by the guidance-by-repulsion model [Escobedo, R., Ibañez, A. and Zuazua, E.…

Dynamics and control for multi-agent networked systems: a finite difference approach

U. Biccari, D. Ko, E. Zuazua Dynamics and control for multi-agent networked systems: a finite difference approach. Math. Models Methods Appl. Sci., Vol. 29, No. 4 (2019), pp. 755–790. DOI: 10.1142/S0218202519400050 Abstract: We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic…