LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays

This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lya...

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Bibliographic Details
Main Authors: Manlika Rajchakit, Piyapong Niamsup, Grienggrai Rajchakit
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888796866&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52723
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Institution: Chiang Mai University
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Summary:This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability are established in terms of LMIs. Numerical examples are given to show the effectiveness of the obtained results. ©2013 Rajchakit et al.; licensee Springer.