Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

Wang, Xu and Grip, H°avard Fjær and Saberi, Ali and Stoorvogel, Anton A. and Saberi, Ingmar (2011) Remarks on the relationship between ℒp stability and internal stability of nonlinear systems. In: American Control Conference, ACC 2011, 29 June - 1 July 2011, San Francisco, CA, USA.

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Abstract:	In this paper, we investigate the relationship between ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability without finite gain implies attractivity of the equilibrium, and that local ℒp stability with finite gain implies local asymptotic stability of the origin.
Item Type:	Conference or Workshop Item
Copyright:	© 2011 IEEE
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/78314
Official URL:	http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5991498
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