The matrix polynomial method of optimization of linear multivariable continuous-time control for unstable plants with stationary stochastic inputs is derived in a constructive manner. New sufficient conditions are included but certain extra conditions imposed previously for continuous-time optimization are shown to be unnecessary. Kučera's second diophantine equation is derived directly from the requirement that the system be stable. As in discrete time, the second equation need not be used in the optimization when a certain coprimeness exists.