This paper deals with the stabilization of linear systems with process noise under packet drops between the sensor and the controller. Our aim is to ensure exponential convergence of the second moment of the plant state to a given bound in finite time. Motivated by considerations about the efficient use of the available resources, we adopt an event-triggering approach to design the transmission policy. In our design, the sensor's decision to transmit or not is based on an online evaluation of whether the control objective may be violated in the future. The resulting event-triggering policy is hence specifically tailored to the control objective. We formally establish that the proposed event-triggering policy meets the desired objective and quantify its efficiency by providing an upper bound on the fraction of expected number of transmissions in an infinite time interval. Simulations for scalar and vector systems illustrate the results.

中文翻译：

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丢包情况下事件触发的线性系统二阶矩稳定


本文讨论了传感器和控制器之间丢包情况下具有过程噪声的线性系统的稳定性。我们的目标是确保植物状态的二阶矩在有限时间内指数收敛到给定界限。出于对有效利用可用资源的考虑，我们采用事件触发方法来设计传输策略。在我们的设计中，传感器决定是否传输是基于对未来是否可能违反控制目标的在线评估。因此，所产生的事件触发策略是专门针对控制目标定制的。我们正式确定所提出的事件触发策略满足预期目标，并通过提供无限时间间隔内预期传输数量比例的上限来量化其效率。标量和矢量系统的模拟说明了结果。