Incremental stability properties for discrete-time systems

Title: Incremental stability properties for discrete-time systems
Creator: Tran, Duc N.; Rüffer, Björn S.; Kellett, Christopher M.
Relation: 2016 IEEE 55th Conference on Decision and Control (CDC). Proceedings of the 55th IEEE Conference on Decision and Control (Las Vegas, NV 12-14 December, 2016) p. 477-482
Publisher Link: http://dx.doi.org/10.1109/CDC.2016.7798314
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2016
Description: Incremental stability describes the asymptotic behavior between any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. In this paper, we develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems. We derive Lyapunov function characterizations for these properties as well as a useful summation-to-summation formulation of the incremental stability property.
Subject: stability analysis; asymptotic stability; Lyapunov methods; discrete-time systems; nonlinear systems; standards; trajectory
Identifier: http://hdl.handle.net/1959.13/1343673
Identifier: uon:29242
Identifier: ISBN:9781509018376
Language: eng
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