Nonlinear L-2-gain verification for nonlinear systems

Title: Nonlinear L-2-gain verification for nonlinear systems
Creator: Dower, Peter M.; Zhang, Huan; Kellett, Christopher M.
Relation: Systems & Control Letters Vol. 61, Issue 4, p. 563-572
Publisher Link: http://dx.doi.org/10.1016/j.sysconle.2012.02.006
Publisher: Elsevier
Resource Type: journal article
Date: 2012
Description: The conventional (linear) notion of finite L₂-gain has been extensively studied and applied in the analysis and control of both linear and nonlinear dynamical systems over the last few decades. The connection between this finite gain property and dissipation is well-known, and is fundamental to providing a verification mechanism for the property via solution of a related Hamilton–Jacobi–Bellman equation. Motivated by an interest in broadening the applicability of finite L₂-gain in the analysis and control of nonlinear systems, this paper presents a generalized verification mechanism that permits nonlinear gain functions to be incorporated in the notion of finite L₂-gain.
Subject: nonlinear L,sub>2</sub> gain; dissipative systems; verification theorem; Hamilton Jacobi Bellman
Identifier: http://hdl.handle.net/1959.13/1318413
Identifier: uon:23618
Identifier: ISSN:0167-6911
Language: eng
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