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Zbl 0707.93060
Khargonekar, Pramod P.; Petersen, Ian R.; Zhou, Kemin
Robust stabilization of uncertain linear systems: Quadratic stabilizability and $H\sp{\infty}$ control theory.
(English)
[J] IEEE Trans. Autom. Control 35, No.3, 356-361 (1990). ISSN 0018-9286

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 $H\sp{\infty}$ control theory are explored.
MSC 2000:
*93D09 Robust stability of control systems
93B36 $H^\infty$-control
93C05 Linear control systems
93C15 Control systems governed by ODE

Keywords: robust stabilization problems; $H\sp{\infty }$ control theory

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