PD and PI Control for Passivity and Synchronization of Coupled Neural Networks With Multi-Weights

Jin-Liang Wang, Linhao Zhao

2021IEEE Transactions on Network Science and Engineering57 citationsDOI

Abstract

This paper mainly discusses the passivity and synchronization for a coupled neural networks with multi-weights (CNNMWs) by virtue of devised proportional-integral-derivative (PID) controllers. On one side, several passivity criteria for the CNNMWs are put forward on the basis of suitable Lyapunov functional, inequality techniques and devised proportional-derivative (PD) controller, and the output-strict passivity is employed to cope with the synchronization of the CNNMWs. On the other side, we also investigate the passivity of the CNNMWs by choosing appropriate proportional-integral (PI) controller, and a criterion of synchronization is developed for the CNNMWs. Lastly, the obtained criteria of passivity and synchronization are verified by adopting two numerical examples.

Topics & Concepts

PassivityControl theory (sociology)Synchronization (alternating current)PID controllerController (irrigation)Artificial neural networkComputer scienceProportional controlMathematicsControl (management)Control systemControl engineeringEngineeringTopology (electrical circuits)Artificial intelligenceCombinatoricsAgronomyTemperature controlBiologyElectrical engineeringNeural Networks Stability and SynchronizationAdvanced Memory and Neural ComputingNeural Networks and Applications