Abstract
This paper proposes a new delay dependent stability condition for state-delayed systems. This stability condition is based on the discretization of an infinite dimensional kernel of state-delayed systems and provides a check condition when the stability of the discretized system implies state-delayed systems. This check condition is derived using a lifting technique and is given in the form of discrete system H/sub /spl infin// norm test. The stability condition is shown to converge to the exact stability condition when the order of discretization approaches infinity.
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