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A Novel Method of Solving Linear Programs with an Analog Circuit

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.

preprint2013arXivOpen access
Sergey VichikFrancesco Borrelli
math.OC
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Open access2 authors1 topic
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Sergey VichikFrancesco Borrelli

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