# Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems

@article{Oliveira2002ExtendedH2, title={Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems}, author={M. D. De Oliveira and J. Geromel and J. Bernussou}, journal={International Journal of Control}, year={2002}, volume={75}, pages={666 - 679} }

This paper presents new synthesis procedures for discrete-time linear systems. It is based on a recently developed stability condition which contains as particular cases both the celebrated Lyapunov theorem for precisely known systems and the quadratic stability condition for systems with uncertain parameters. These new synthesis conditions have some nice properties: (a) they can be expressed in terms of LMI (linear matrix inequalities) and (b) the optimization variables associated with the… Expand

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