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Abstract
Abstract This paper focuses on robust stabilization analysis and synthesis for linear time-varying uncertain dynamic systems with delayed state. A dynamic output feedback controller is presented to quadratically stabilize the plant for all admissible uncertainties and the sufficient conditions for the existence of output feedback robust stabilizing controller are derived. Two equivalent linear time-invariant structural descriptions for the time-varying uncertain systems with delayed state are obtained to get the controller gain matrix and the observer gain matrix.
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