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Robust H/sub infinity / control design for linear systems with uncertainty in both the state and input matrices is treated. A state feedback control design which stabilizes the plant and guarantees an H/sub infinity /-norm bound constraint on disturbance attenuation for all admissible uncertainties is presented. The robust H/sub infinity / control problem is solved via the notion of quadratic stabilization with an H/sub infinity /-norm bound. Necessary and sufficient conditions for quadratic stabilization with an H/sub infinity /-norm bound are derived. The results can be regarded as extensions of existing results on H/sub infinity / control and robust stabilization of uncertain linear systems.>
Xie et al. (Wed,) studied this question.