Asymptotic and exponential stability of nonlinear two-dimensional continuous-discrete Roesser models

Title: Asymptotic and exponential stability of nonlinear two-dimensional continuous-discrete Roesser models
Creator: Knorn, Steffi; Middleton, Richard H.
Relation: Systems and Control Letters Vol. 93, Issue July 2016, p. 35-42
Publisher Link: http://dx.doi.org/10.1016/j.sysconle.2016.03.004
Publisher: Elsevier
Resource Type: journal article
Date: 2016
Description: Sufficient conditions guaranteeing Lyapunov stability, asymptotic stability and exponential stability of nonlinear two-dimensional continuous-discrete systems are proposed. Special attention is paid to neutrally stable systems such as some two-dimensional system descriptions of vehicle platoons, which may be stable or asymptotically stable but never exponentially stable. Our conditions for Lyapunov stability and asymptotic stability only require the corresponding two-dimensional Lyapunov function to have a negative semidefinite divergence. They are thus suitable for the analysis of non-exponential versions of 2D stability. Examples are given to illustrate the results.
Subject: two-dimensional (2D); nonlinear systems; stability; continuous–discrete
Identifier: http://hdl.handle.net/1959.13/1323666
Identifier: uon:24863
Identifier: ISSN:0167-6911
Language: eng
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