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This paper studies the distributed state estimator design method for periodic systems with time-varying delays and periodic communication scheduling strategy over sensor networks. To mitigate the stability attenuation and the performance loss caused by delays, a periodic delay-dependent Lyapunov function is constructed, which relaxes the conservatism and improves the ${H_\infty }$ performance of the estimators. Then, a periodic scheduling strategy, which updates the correlative innovations of each node during a period in an average way by solving an integer programming problem, is proposed to save energy. Periodic gains of distributed estimators are designed by using analog tool. Finally, a visual example is utilized to describe the periodic communication scheduling. The effectiveness of the strategy and the novel Lyapunov function is demonstrated by the example.

In this paper, the distributed $H_{\infty}$ state estimators are designed for discrete-time stochastic periodic systems with randomly occurred uncertainties and topology-dependent quantizers over sensor networks. A norm-bounded uncertain model is introduced to describe the randomly occurred norm-bounded parameter uncertainties, where each component of the system occurs uncertainty independently. According to the changeable topologies of the sensor networks, a topology-dependent quantizer is proposed to enhance the channel utilization. Sufficient conditions are established to ensure the asymptotic stability and the $H_{\infty}$ performance simultaneously for the augmented estimation error system. Then the gains of estimators are derived in every period. Finally, the average of one thousand simulations are depicted in the figures. Moreover, simulation comparisons are given to explain the quantizer design method.

This paper studies the synchronization issue of time-varying Markovian jump neural networks (NNs). The denial-of-service (DoS) attack is considered in the communication channel connecting master NNs and slave NNs. An observer is designed based on the measurements of master NNs transmitted over this unreliable channel to estimate their states. The deception attack is used to destroy the controller by changing the sign of the control signal. Then, the mixed-type attacks are expressed uniformly, and a synchronization error system is established using this function. A finite-horizon $l_{2}-l_\infty $ performance is proposed, and sufficient conditions are derived to ensure that the synchronization error system satisfies this performance. The controllers are then obtained by a recursive linear matrix inequality algorithm. At last, a simulation result to show the feasibility of the developed results is given.