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A generalisation of the nonlinear small-gain theorem for systems with abstract initial conditions

Li, Jing and French, Mark (2013) A generalisation of the nonlinear small-gain theorem for systems with abstract initial conditions At Control Conference (ECC), 2013 European, Switzerland. 17 - 19 Jul 2013. , pp. 1699-1704.

Record type: Conference or Workshop Item (Paper)


We consider the development of a general nonlinear small-gain theorem for systems with abstract initial conditions. Systems are defined in a set theoretic manner from input-output pairs on a doubly infinite time axis, and a general construction of the initial conditions (i.e. a state at time zero) is given in terms of an equivalence class of trajectories on the negative time axis. By using this formulation, an ISS-type nonlinear small-gain theorem is established with complete disconnection between the stability property and the existence, uniqueness properties. We provide an illustrative example.

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Published date: 2013
Venue - Dates: Control Conference (ECC), 2013 European, Switzerland, 2013-07-17 - 2013-07-19
Keywords: nonlinear system theory, stability of nonlinear systems, behavioural systems
Organisations: Southampton Wireless Group


Local EPrints ID: 355085
PURE UUID: 363cc596-f9ae-41c5-be44-161af50e5c7a

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Date deposited: 19 Aug 2013 15:20
Last modified: 18 Jul 2017 03:50

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Author: Jing Li
Author: Mark French

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