Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming

Title: Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming
Creator: Tran, Duc N.; Kellett, Christopher M.; Dower, Peter M.
Relation: 2016 Australian Control Conference (AuCC 2016). Proceedings of the 2016 Australian Control Conference (AuCC 2016) (Newcastle, N.S.W. 3-4 November, 2016) p. 66-70
Publisher Link: http://dx.doi.org/10.1109/AUCC.2016.7868004
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2016
Description: In the input-output framework, the notion of nonlinear ℓ₂-gain extends the classical (linear) finite ℓ₂-gain in order to apply ℓ₂-gain analysis techniques to a larger class of nonlinear systems. Obtaining tight estimates of the comparison function bounds for the nonlinear ℓ₂-gain property is particularly important in small gain design. In this paper, we present two optimisation-based formulations that characterise these bounds for discrete-time nonlinear systems satisfying the nonlinear ℓ₂-gain property via dynamic programming.
Subject: dynamic programming; discrete-time nonlinear ℓ₂-gain bound analysis; input-output framework; linear finite ℓ₂-gain; ℓ₂-gain analysis techniques; tight estimates; function bounds; small gain design; optimisation-based formulation
Identifier: http://hdl.handle.net/1959.13/1344032
Identifier: uon:29309
Identifier: ISBN:9781922107909
Language: eng
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