  This paper investigates the synthesis of distributed economic control
algorithms under which dynamically coupled physical systems are regulated to a
variational equilibrium of a constrained convex game. We study two
complementary cases: (i) each subsystem is linear and controllable; and (ii)
each subsystem is nonlinear and in the strict-feedback form. The convergence of
the proposed algorithms is guaranteed using Lyapunov analysis. Their
performance is verified by two case studies on a multi-zone building
temperature regulation problem and an optimal power flow problem, respectively.
