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Automatica, Vol.37, No.2, 313-316, 2001
Some geometric properties of Lyapunov equation and LTI system
While many algebraic properties of Lyapunov equation and LTI system are well known, few geometric properties, which may be used to analyze control system properties are studied. In this paper, some new necessary and sufficient conditions based on geometry are derived for properties of the Lyapunov equation and LTI system.