A weak L₂-gain property for nonlinear systems

Title: A weak L₂-gain property for nonlinear systems
Creator: Dower, Peter M.; Kellett, Christopher M.; Zhang, Huan
Relation: 51st IEEE Conference on Decision and Control (CDC 2012). Proceedings of the 51st IEEE Conference on Decision and Control (Maui, HI 10-13 December, 2012) p. 2286-2291
Relation: Funding BodyARCGrant NumberFT110100746 http://purl.org/au-research/grants/arc/FT110100746
Publisher Link: http://dx.doi.org/10.1109/CDC.2012.6425918
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2012
Description: Nonlinear L₂-gain is a generalization of the conventional (linear) notion of L₂-gain in which the linear scaling of input energy is replaced by a nonlinear comparison function scaling. In this paper, this nonlinear L₂-gain property is formalized as being strictly weaker than the conventional linear property. This is achieved by appealing to existing results in the literature that demonstrate qualitative equivalences between linear L₂-gain and input-to-state stability (ISS), and between nonlinear L₂-gain and the strictly weaker integral ISS (iISS) property.
Subject: L₂-gain analysis; input-to-state stability; integral input-to-state stability; nonlinear systems
Identifier: http://hdl.handle.net/1959.13/1305467
Identifier: uon:21051
Identifier: ISBN:9781467320658
Language: eng
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