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A new solution to adaptive control for a linear time-variant multivariable process with unknown parameters is presented. The proposed method requires knowledge of only input and output data and, consequently, no state estimation is necessary. The control signal is generated by a control block placed in series with the process. The control block behaves as the "adaptive" inverse of the process, and has as its input the desired output of the process. The whole control system is asymptotically hyperstable. The control system can solve the main problems encountered in process control: structural differences and parameter variations. In addition, it behaves satisfactorily under the influence of perturbations. The method is extremely simple to implement and quite general in scope. Various examples are included for illustration.