Nonlinear L<sub>2</sub>-gain analysis via a cascade

Title: Nonlinear L₂-gain analysis via a cascade
Creator: Dower, Peter M.; Zhang, Huan; Kellett, Christopher M.
Relation: 49th IEEE Conference on Decision and Control, (CDC 2010). Proceedings of the 49th IEEE Conference on Decision and Control (Atlanta, GA 15-17 December, 2010) p. 6242 - 6247
Publisher Link: http://dx.doi.org/10.1109/CDC.2010.5717969
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2010
Description: A nonlinear L₂-gain property that generalizes the conventional (linear) notion of L₂-gain for finite dimensional dynamical systems is studied. In particular, an optimization-based approximation strategy that facilitates computation of gain bounds via a cascade is presented. The cascade in question consists of the dynamical system under test, driven by a nonlinear “energy saturation” operator that limits the energy delivered to that system. The main advantage of this approach is demonstrated to be improved regularity properties of the value function. This is demonstrated via a specific energy saturation operator and a simple example.
Subject: L₂-gain analysis; nonlinear systems; cascade; optimization; dynamic programming
Identifier: http://hdl.handle.net/1959.13/933542
Identifier: uon:11652
Identifier: ISBN:9781424477449
Identifier: ISSN:0743-1546
Language: eng
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Nonlinear L2-gain analysis via a cascade