A small-gain theorem in the absence of strong ilSS

Title: A small-gain theorem in the absence of strong ilSS
Creator: Ito, Hiroshi; Kellett, Christopher M.
Relation: IEEE Transactions on Automatic Control Vol. 64, Issue 9, p. 3897-3904
Publisher Link: http://dx.doi.org/10.1109/TAC.2018.2886955
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2019
Description: Previous small-gain results for interconnected integral Input-to-State (ilSS) systems have been restricted to systems that are strongly ilSS. This paper removes this restriction by allowing cross terms between external inputs and states in the Lyapunov decrease of component systems, and subsequently constructing a non-separable Lyapunov function. An example demonstrates the use of this new small-gain formulation.
Subject: interconnected systems; integral input-to-state stability (ilSS); lyapunov methods; small-gain criteria
Identifier: http://hdl.handle.net/1959.13/1458689
Identifier: uon:45479
Identifier: ISSN:0018-9286
Language: eng
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