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The iISS Property for Globally Asymptotically Stable and Passive Nonlinear Systems

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2 Author(s)
Chen Wang ; Dept. of Electr. & Electron. Eng., Imperial Coll. London, London ; Weiss, G.

This paper investigates the integral input-to-state stability (iISS) property for passive nonlinear systems. We show that under mild technical assumptions, a passive nonlinear system which is globally asymptotically stable is also iISS. Moreover, the integral term from the definition of the iISS property has a very simple form (like an L 1 norm). We illustrate the result by proving that the drive-train of a wind turbine with quadratic torque control is iISS.

Published in:
Automatic Control, IEEE Transactions on  (Volume:53 ,  Issue: 8 )

Date of Publication: Sept. 2008

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