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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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