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On the input-to-state stability (ISS) of a double integrator with saturated linear control laws | IEEE Conference Publication | IEEE Xplore
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On the input-to-state stability (ISS) of a double integrator with saturated linear control laws

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Guoyong Shi; A. Saberi
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Abstract:

We show that the closed loop system consisting of a double integrator with any stabilizing saturated linear control law is not input-to-state stable (ISS) even for extern...Show More

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Abstract:

We show that the closed loop system consisting of a double integrator with any stabilizing saturated linear control law is not input-to-state stable (ISS) even for external disturbances with arbitrarily small magnitude.
Published in: Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)
Date of Conference: 08-10 May 2002
Date Added to IEEE Xplore: 07 November 2002
Print ISBN:0-7803-7298-0
Print ISSN: 0743-1619
DOI: 10.1109/ACC.2002.1024780
Conference Location: Anchorage, AK, USA
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