Input-to-state stability with respect to two measurement functions: discrete-time systems

Title: Input-to-state stability with respect to two measurement functions: discrete-time systems
Creator: Tran, Duc N.; Kellett, Christopher M.; Dower, Peter M.
Relation: 2015 54th IEEE Conference on Decision and Control (CDC). Proceedings of the 2015 54th IEEE Conference on Decision and Control (CDC) (Osaka, Japan 15-18 December, 2015) p. 1817-1822
Publisher Link: http://dx.doi.org/10.1109/CDC.2015.7402474
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2016
Description: Input-to-state stability (ISS) with respect to two measurement functions subsumes many ISS-type properties such as input-to-output stability (IOS) and state-independent input-to-output stability (SI-IOS). It also subsumes a version of incremental ISS. In this paper, we develop the notion of ISS with respect to two measurement functions for discrete-time systems and highlight the importance of commensurability of the two measurement functions and compactness of the zero set of the lower measurement function. Of particular interest, we show that the obvious extension of an implication-form ISS-Lyapunov function does not imply ISS with respect to two measurement functions.
Subject: Lyapunov methods; discrete time systems; extraterrestrial measurements; stability analysis
Identifier: http://hdl.handle.net/1959.13/1318603
Identifier: uon:23651
Identifier: ISBN:9781479978861
Language: eng
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