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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 1.5

Is Monopoli’s model reference

adaptive controller correct?

A. S. Morse 1

Center for Computational Vision and Control

Department of Electrical Engineering

Yale University, New Haven, CT 06520

USA

1 INTRODUCTION

In 1974 R. V. Monopoli published a paper [1] in which he posed the now classical model reference adaptive control problem, proposed a solution and presented arguments intended to establish the solution’s correctness. Subsequent research [2] revealed a flaw in his proof, which placed in doubt the correctness of the solution he proposed. Although provably correct solutions to the model reference adaptive control problem now exist (see [3] and the references therein), the problem of deciding whether or not Monopoli’s original ...

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