  We present the design of an analog circuit which solves linear programming
(LP) problems. In particular, the steady-state circuit voltages are the
components of the LP optimal solution. The paper shows how to construct the
circuit and provides a proof of equivalence between the circuit and the LP
problem. The proposed method is used to implement a LP-based Model Predictive
Controller by using an analog circuit. Simulative and experimental results show
the effectiveness of the proposed approach.
