Abstract
In this chapter, the bounded filtering problem is investigated for a class of time-delay complex networks under the effect of Round-Robin protocol scheduling. First, the signal transmission model is presented by using a periodic function. A parameter-dependent filter is constructed to generate the desired state estimates for the underlying time-delay complex network. By using a switch-based approach, the resultant filtering error dynamics is described by a periodic parameter-switching system with time delays. The aim of the addressed filtering problem is to design the filter parameters such that the filtering error is ultimately bounded in mean square. By introducing a novel Lyapunov-like functional and employing the stochastic analysis approach, the desired filter gains are derived by solving a convex problem. Within the established framework, the developed filtering scheme is specialized into two kinds of complex networks.
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References
Albert, R., Barabási, A.-L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74(1), 47–97 (2002)
Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world networks. Nature 393(6684), 440–442 (1998)
Barabási, A.L., Albert, R.: Emergence of scaling in random networks. Science 286(5439), 509–512 (1999)
He, W., Cao, J.: Exponential synchronization of hybrid coupled networks with delayed coupling. IEEE Trans. Neural Netw. 21(4), 571–583 (2010)
Caballero-Aguila, R., Hermoso-Carazo, A., Linares-Perez, J.: Linear estimation based on covariances for networked systems featuring sensor correlated random delays. Int. J. Syst. Sci. 44(7), 1233–1244 (2013)
He, Y., Wang, Q., Wu, M., Lin, C.: Delay-dependent state estimation for delayed neural networks. IEEE Trans. Neural Netw. 17(4), 1077–1081 (2006)
Basin, M.V., Rodriguez-Ramirez, P.C.: Sliding mode controller design for stochastic polynomial systems with unmeasured states. IEEE Trans. Ind. Electron. 61(1), 387–396 (2014)
Tang, Y., Fang, J., Xia, M., Gu, X.: Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays. Appl. Math. Model. 34(4), 843–855 (2010)
Wang, Z., Lam, J., Liu, X.: Filtering for a class of nonlinear discrete-time stochastic systems with state delays. J. Comput. Appl. Math. 201(1), 153–163 (2007)
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Zou, L., Wang, Z., Liang, J. (2022). Ultimately Bounded Filtering for Complex Networks under Round-Robin Protocol. In: Communication-Protocol-Based Filtering and Control of Networked Systems. Studies in Systems, Decision and Control, vol 430. Springer, Cham. https://doi.org/10.1007/978-3-030-97512-8_2
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DOI: https://doi.org/10.1007/978-3-030-97512-8_2
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