Nonlinear systems with nonlinear ℒ₂-gain

Title: Nonlinear systems with nonlinear ℒ₂-gain
Creator: Dower, Peter M.; Kellett, Christopher M.
Relation: 53rd Annual Conference on Decision and Control (CDC 2014). Proceedings of the 2014 IEEE 53rd Annual Conference on Decision and Control (Los Angeles, CA 15-17 December, 2014) p. 777-782
Relation: ARC.DP120101549 http://purl.org/au-research/grants/arc/DP120101549
Publisher Link: http://dx.doi.org/10.1109/CDC.2014.7039476
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2014
Description: Nonlinear ℒ₂-gain is a robust stability property whereby the ℒ₂-norm of the state trajectory is bounded above by a monotone aggregation of nonlinear scalings of the norm of the initial state and the ℒ₂-norm of the input. This property is equivalent, via a change of coordinates, to integral input-to-state stability. In order to better understand the nonlinear ℒ₂-gain property, a variety of simple examples are presented for which it is possible to explicitly calculate the attendant transient and gain bounds. A constructive approach to finding changes of coordinates that yield systems satisfying the linear or nonlinear ℒ₂-gain property is also illustrated by example.
Subject: input-output stability; nonlinear control systems; robust control
Identifier: http://hdl.handle.net/1959.13/1297878
Identifier: uon:19527
Identifier: ISBN:9781479977468
Language: eng
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