  Connected and automated vehicles (CAVs) provide the most intriguing
opportunity to reduce pollution, energy consumption, and travel delays. In
earlier work, we addressed the optimal coordination of CAVs using Hamiltonian
analysis. In this paper, we investigate the nature of the unconstrained problem
and provide conditions under which the state and control constraints become
active. We derive a closed-form analytical solution of the constrained
optimization problem and evaluate the solution using numerical simulation.
