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Title: | Sampled-data synchronization control of dynamical networks with stochastic sampling |
Authors: | Shen, B Wang, Z Liu, X |
Keywords: | Dynamical networks;Gronwall's inequality;Jenson integral inequality;Sampled-data control;Stochastic sampling;Synchronization control |
Issue Date: | 2012 |
Publisher: | IEEE |
Citation: | IEEE Transactions on Automatic Control, 57(10): 2644 - 2650, Oct 2012 |
Abstract: | 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. |
Description: | Copyright @ 2012 IEEE |
URI: | http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6166424&contentType=Journals+%26+Magazines&sortType%3Dasc_p_Sequence%26filter%3DAND(p_IS_Number%3A6310106) http://bura.brunel.ac.uk/handle/2438/6857 |
DOI: | http://dx.doi.org/10.1109/TAC.2012.2190179 |
ISSN: | 0018-9286 |
Appears in Collections: | Publications Computer Science Dept of Computer Science Research Papers |
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