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Robust stabilization of uncertain linear systems: Quadratic stabilizability and $$H^{\infty}$$ control theory. (English) Zbl 0707.93060
This paper is focused on robust stabilization of linear uncertain systems. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices is given. Relations between these robust stabilization problems and $$H^{\infty}$$ control theory are explored.

##### MSC:
 93D09 Robust stability 93B36 $$H^\infty$$-control 93C05 Linear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations
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