  We investigate a Cucker-Smale-type flocking model for multi-agent systems
that move with constant speed. The model incorporates both kinematic
observables and internal energy (temperatures) in the agents' interactions.
Traditionally, collision avoidance in the absence of speed limitation is
achieved by introducing singularities into the communication rule. However,
when a unit speed constraint is applied, the mechanism of collision avoidance
can differ, and the singularity may not necessarily prevent collisions. In this
paper, we propose a framework that generates collision avoidance, asymptotic
flocking, thermal equilibrium, and strict spacing between agents, subject to
sufficient conditions expressed by the initial condition, system parameters,
and degree of singularity.
