Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection
We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. Time-delay functions are continuous but not necessarily differentiable. Based on Lyapunov stability theory and new integral bounding technique, finite-time stability...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/1972748 |
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| _version_ | 1832556541646995456 |
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| author | T. La-inchua P. Niamsup Xinzhi Liu |
| author_facet | T. La-inchua P. Niamsup Xinzhi Liu |
| author_sort | T. La-inchua |
| collection | DOAJ |
| description | We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. Time-delay functions are continuous but not necessarily differentiable. Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived. The finite-time stability criteria are delays-dependent and are given in terms of linear matrix inequalities which can be solved by various available algorithms. Numerical examples are given to illustrate effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-23a55411c40343e9a881788304142039 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-23a55411c40343e9a8817883041420392025-02-03T05:45:06ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/19727481972748Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in InterconnectionT. La-inchua0P. Niamsup1Xinzhi Liu2Department of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaWe investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. Time-delay functions are continuous but not necessarily differentiable. Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived. The finite-time stability criteria are delays-dependent and are given in terms of linear matrix inequalities which can be solved by various available algorithms. Numerical examples are given to illustrate effectiveness of the proposed method.http://dx.doi.org/10.1155/2017/1972748 |
| spellingShingle | T. La-inchua P. Niamsup Xinzhi Liu Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection Complexity |
| title | Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection |
| title_full | Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection |
| title_fullStr | Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection |
| title_full_unstemmed | Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection |
| title_short | Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection |
| title_sort | finite time stability of large scale systems with interval time varying delay in interconnection |
| url | http://dx.doi.org/10.1155/2017/1972748 |
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