The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling
Open accessAbstract
This technical note is concerned with the sampled-data synchronization control problem for a class of dynamical networks. The sampling period considered here is assumed to be time-varying that switches between two different values in a random way with given probability. The addressed synchronization control problem is first formulated as an exponentially mean-square stabilization problem for a new class of dynamical networks that involve both the multiple probabilistic interval delays (MPIDs) and the sector-bounded nonlinearities (SBNs). Then, a novel Lyapunov functional is constructed to obtain sufficient conditions under which the dynamical network is exponentially mean-square stable. Both Gronwall's inequality and Jenson integral inequality are utilized to substantially simplify the derivation of the main results. Subsequently, a set of sampled-data synchronization controllers is designed in terms of the solution to certain matrix inequalities that can be solved effectively by using available software. Finally, a numerical simulation example is employed to show the effectiveness of the proposed sampled-data synchronization control scheme.
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1 retracted
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RetractedLinear Matrix Inequalities in System and Control Theory
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Optimal Sampled-Data Control Systems
Chen, T., & Francis, B. A. (1995) · doi:10.1007/978-1-4471-3037-6 · Cited by 2,217 · cited 1×
“uk decades and numerous results have been reported in the literature [2, 5, 22].”
ResultAn integral inequality in the stability problem of time-delay systems
Gu, K. (2002) · Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) · doi:10.1109/cdc.2000.914233 · Cited by 1,543
On pinning synchronization of complex dynamical networks
Yu, W., Chen, G., & Lü, J. (2009) · Automatica · doi:10.1016/j.automatica.2008.07.016 · Cited by 1,016
Stochastic sampling in computer graphics
Cook, R. L. (1986) · ACM Transactions on Graphics · doi:10.1145/7529.8927 · Cited by 982
A time-varying complex dynamical network model and its controlled synchronization criteria
Lu, J., & Chen, G. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.849233 · Cited by 976
Bamieh, B. A., & Pearson, J. B. (1992) · IEEE Transactions on Automatic Control · doi:10.1109/9.126576 · Cited by 682
Metadata
- Authors
- Shen, B., Wang, Z., & Liu, X.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2012-10
- Volume
- 57
- Issue
- 10
- Pages
- 2644-2650
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2050172493
- Cited by
- 300
- References
- 15
- FWCI
- 45.58
- Type
- journal article
- Language
- en
- Open access
- green
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