Aperiodically intermittent-based filtering in sensor networks

A filtering algorithm with a control strategy is proposed to estimate the target state. Unlike the existing literature, the control strategy adopted is based on asynchronous aperiodically intermittent control, which is more general and universal due to the control strategy of each network node being different. Moreover, a Lyapunov function is proposed, which can handle asynchrony for asynchronous aperiodically intermittent control and simplify the proof process. Using the Lyapunov method and the graph theory, we give sufficient conditions to obtain a criterion of exponentially bounded in the mean square about the filtering algorithm and target. Finally, two numerical examples are given to verify the effectiveness of our results.