In this paper, the problem of generalized state estimation for an array of Markovian coupled networks under the round-Robin protocol (RRP) and redundant channels is investigated by using an extended dissipative property. The randomly varying coupling of the networks under consideration is governed by a Markov chain. With the aid of using the RRP, the transmission order of nodes is availably orchestrated. In this case, the probability of occurrence data collisions through a shared constrained network may be reduced. The redundant channels are also used in the signal transmission to deal with the frangibility of networks caused by a single channel in the networks. The network induced phenomena, that is, randomly occurring packet dropouts and randomly occurring quantization are fully considered. The main purpose of the research is to find a desired estimator design approach such that the extended $({\Omega _{1},\Omega _{2},\Omega _{3}) - \gamma }$ -stochastic dissipativity property of the estimation error system is guaranteed. In terms of the Lyapunov–Krasovskii methodology, the Kronecker product and an improved matrix decoupling approach, sufficient conditions for such an addressed problem are established by means of handling some convex optimization problems. Finally, the serviceability of the proposed method is explained by providing an illustrated example.

中文翻译：

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轮循协议和冗余信道下马尔可夫耦合网络的广义状态估计

本文利用扩展的耗散特性，研究了基于轮循协议（RRP）和冗余信道的马尔可夫耦合网络阵列的广义状态估计问题。所考虑的网络的随机变化耦合由马尔可夫链控制。借助于使用RRP，可以有效地编排节点的传输顺序。在这种情况下，可以减少通过共享约束网络发生数据冲突的可能性。冗余通道也用于信号传输中，以应对由网络中单个通道引起的网络脆弱性。充分考虑了网络引起的现象，即随机发生的数据包丢失和随机发生的量化。研究的主要目的是找到一种理想的估计器设计方法，以使扩展的$（{\ Omega _ {1}，\ Omega _ {2}，\ Omega _ {3}）-\ gamma} $-随机耗散性估计误差系统的性质得到保证。在Lyapunov–Krasovskii方法，Kronecker乘积和改进的矩阵解耦方法方面，通过处理一些凸优化问题，为解决此问题建立了充分条件。最后，通过提供一个示例说明了所提出方法的可服务性。通过Kronecker产品和改进的矩阵解耦方法，通过处理一些凸优化问题，为解决该问题建立了充分条件。最后，通过提供一个示例说明了所提出方法的可服务性。通过Kronecker产品和改进的矩阵解耦方法，通过处理一些凸优化问题，为解决该问题建立了充分条件。最后，通过提供一个示例说明了所提出方法的可服务性。