Consistency of Circular pole and Upper State-variance Constrainets for Discrete-time Control Systems

The consistency of constraint indices of circular pole and statevariance upper bound is studied for a class of discrete-time stochastic systems via state feedback control,and satisfactory strategy method is provided for the control systems with two kinds of consistent constraint indices above.By using linear matrix inequality(LMI) approach,a good region is presented for the upper bound index of state variance which is consistent with the prespecified pole region.An example illustrates the results obtained in this paper.