Abstract
On the basis of Lyapunov stability theory and LMI technique, this paper investigates H ∞ synchronization control of time-varying synchronization state in general complex networks with time-delay and external disturbances. H ∞ synchronization controllers have been designed for nodes of controlled network and the H ∞ control law for asymptotically(exponentially) synchronization are derived via defining an appropriate controlled output. Besides, under the desired H ∞ performance index, the control criteria which guarantee complex networks synchronization with a time-varying state are revealed by LMI. Finally, a simulation example is given to demonstrate the effectiveness of the theoretical results.
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Xiang, T., Jiang, M. (2011). H ∞ Synchronization Control in Nonlinear Time-Delay Complex Dynamical Network. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_15
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DOI: https://doi.org/10.1007/978-3-642-21105-8_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21104-1
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