- 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
- Reviewed
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