- Title
- A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions
- Creator
- Tran, Duc N.; Kellett, Christopher M.; Dower, Peter M.
- Relation
- 2015 5th Australian Control Conference (AUCC). Proceedings of the 2015 5th Australian Control Conference (Gold Coast, Qld 5-6 November, 2015) p. 39-42
- Relation
- http://www.aucc.org.au/AUCC2015/
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2015
- Description
- In this paper, we study the notion of ISS with respect to two measurement functions for discrete-time systems. An example in previous work shows that, in the two measurement function case, the existence of an implication-form ISS-Lyapunov function does not imply ISS. Here, we define a "strong" ISS-Lyapunov function and demonstrate that its existence is equivalent to ISS with respect to two measurement functions.
- Subject
- Lyapunov methods; discrete time systems; mathematical programming
- Identifier
- http://hdl.handle.net/1959.13/1315595
- Identifier
- uon:22967
- Identifier
- ISBN:9781922107695
- Language
- eng
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