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Ultimately Bounded Filtering for Complex Networks under Round-Robin Protocol

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Communication-Protocol-Based Filtering and Control of Networked Systems

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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Correspondence to Lei Zou .

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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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