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This paper presents necessary and sufficient conditions for the existence of a quadratically stabilizing output feedback controller which also assures H2guaranteed cost performance on a discrete linear uncertain system where the uncertainty is of the norm bounded type. The conditions are presented as a collection of linear matrix inequalities.The solution, however requires a search over a scalar parameter space

mathematical problems in engineering

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$H_2$"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>guaranteed cost control of discrete linear systems

H2guaranteed cost control of discrete linear systems