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A multivariable control system in which the parameters of the plant transfer function matrix are unknown functions of time is described in this paper. It is a sequel to a previous one1 dealing with a single variable control system. A scheme is presented here in which the parameters of the plant transfer function are tracked and the controller transfer function matrix is adjusted in such a way as to keep the overall system optimized. The system may be realized in terms of ordinary analog computer elements. Information is given in a form which may be readily inserted into a controller for realization of a general type of adaptive control system.