Sum-separable Lyapunov functions for networks of ISS systems: a gain function approach

Title: Sum-separable Lyapunov functions for networks of ISS systems: a gain function approach
Creator: Rüffer, Björn S.; Ito, Hiroshi
Relation: 2015 54th IEEE Conference on Decision and Control (CDC). Proceedings of the 2015 54th IEEE Conference on Decision and Control (Osaka, Japan 15-18 December, 2015) p. 1823-1828
Publisher Link: http://dx.doi.org/10.1109/CDC.2015.7402475
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2015
Description: It has been known for a decade now that for networks of input-to-state stable (ISS) systems a Lyapunov function for the network can be constructed as a maximum of re-scaled Lyapunov functions of the subsystems. In this work it is shown that -under the same conditions- instead one could as well choose a sum of re-scaled Lyapunov functions, which is not inherently non-smooth, thus answering a long open question. Moreover, the present approach is constructive, and explicit formulas for the cases of two and three subsystems are stated.
Subject: Lyapunov methods
Identifier: http://hdl.handle.net/1959.13/1315864
Identifier: uon:23012
Identifier: ISBN:9781479978861
Language: eng
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