Clusters of active Brownian particles in gas-discharge plasma are considered as open systems with energy exchange with the environment. The evolution of a cluster of 19 active Brownian particles with a partially absorbing metal surface (so-called Janus particles) when exposed to intense laser radiation is shown. The formation of strongly correlated clusters of charged particles with increasing laser radiation power was observed experimentally. Based on an analysis of the trajectories of particles, the region of their localization, and changes in their kinetic energy, fractal dimension, and dynamic entropy for different values of laser radiation power density, the self-organization of a cluster of strongly interacting particles in the plasma of a high-frequency glow discharge is studied.