A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions

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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