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: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84888796866&partnerID=40&md5=def359e2a71b4a8a58215447c39c8bc4 http://cmuir.cmu.ac.th/handle/6653943832/7229 |
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| Institution: | Chiang Mai University |
| Language: | English |
| 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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