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State Estimation for Recurrent Neural Networks With Intermittent Transmission

Chang Liu, Hongxia Rao, Xinxin Yu, Yong Xu, Chun‐Yi Su

2023IEEE Transactions on Cybernetics15 citationsDOI

Abstract

This work addresses the state estimation problem for recurrent neural networks over capacity-constrained communication channels. The intermittent transmission protocol is used to reduce the communication load, where a stochastic variable with a given distribution is used to describe the transmission interval. A corresponding transmission interval-dependent estimator is designed, and an estimation error system based on it is also derived, whose mean-square stability is proved by constructing an interval-dependent function. By analyzing the performance in each transmission interval, sufficient conditions of the mean-square stability and the strict (Q,S,R) - γ -dissipativity are established for the estimation error system. Finally, the correctness and the superiority of the developed result are illustrated by a numerical example.

Topics & Concepts

EstimatorInterval (graph theory)CorrectnessControl theory (sociology)Transmission (telecommunications)Stability (learning theory)Computer scienceArtificial neural networkMean squared errorInterval estimationRandom variableState (computer science)MathematicsAlgorithmStatisticsConfidence intervalTelecommunicationsArtificial intelligenceMachine learningCombinatoricsControl (management)Neural Networks and ApplicationsMachine Learning and ELMNeural Networks Stability and Synchronization