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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Main Authors: | , , |
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Format: | Journal |
Published: |
2018
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Subjects: | |
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 |
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. |
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