Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays
We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a f...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/367457 |
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| Summary: | We investigate the local exponential synchronization for complex dynamical networks with
interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The
constraint on the derivative of the time-varying delay is not required which allows the time delay to be
a fast time-varying function. By using common unitary matrix for different subnetworks, the problem of
synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when
subnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derived
and formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewise
Lyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and the
method of decomposition. The new stability condition is less conservative and is more general than some
existing results. A numerical example is also given to illustrate the effectiveness of the proposed method. |
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| ISSN: | 1110-757X 1687-0042 |