This paper focuses on the non-fragile distributed state estimation of discrete-time nonlinear systems over sensor networks subject to DoS attacks, whose probabilistic characterisations are adopted to reflect the reality better. On the basis of considering DoS attacks and gain variations, a non-fragile distributed state estimator is designed by fusing the innovation from the adjacent estimators and itself. In light of a switching idea, an auxiliary function on the product term of attack signals is exploited to disclose the evolution of the Lyapunov function. By virtue of the limit theorem and the developed evolution rule, a sufficient condition is proposed to guarantee that the error dynamics are almost surely asymptotical stable. Furthermore, gain variations are handled by utilising the well-known S-procedure, and the desired estimator gains are designed via a set of solutions of matrix inequalities. Finally, the effectiveness of the developed results is illustrated by a numerical example.

中文翻译：

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受 DoS 攻击的传感器网络上的非脆弱分布式状态估计：几乎可以肯定的稳定性

本文重点研究受 DoS 攻击的传感器网络上离散时间非线性系统的非脆弱分布式状态估计，其概率特征被采用以更好地反映现实。在考虑DoS攻击和增益变化的基础上，融合相邻估计器和自身的创新设计了非脆弱分布式状态估计器。根据切换思想，利用攻击信号乘积项的辅助函数揭示李雅普诺夫函数的演化过程。借助极限定理和发展的演化规则，提出了一个充分条件来保证误差动力学几乎肯定是渐近稳定的。此外，通过使用众所周知的 S 过程来处理增益变化，并且期望的估计器增益是通过一组矩阵不等式的解来设计的。最后，通过数值例子说明了所开发结果的有效性。