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The unfalsified control paradigm which uses as plant information, experimental trajectories of plant signals, is applied to the model reference adaptive control problem. The use of an ellipsoid algorithm overcomes the need of gridding the parameter space used in prior applications of unfalsified control. The application of the ellipsoid algorithm produces a sequence of decreasing volume ellipsoids which contains the set of unfalsified candidates. Simulation results are provided for the control of an unstable plant.

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In this paper, we analyze systems that can be modelled by M | M | n queues with heterogeneous servers and non informed customers. We solve the balance equations. We present a threshold result for a system with an arbitrary number n of servers, i.e. we show that there is a value of arrival rate below which the slow server should not be used and above which it should be used. The structure of the slow server problem for uninformed costumers is investigated. Results for homogeneous systems are also provided in order to add insight into the structure of the problem.