Mixed [formula omitted] and passive exponential synchronization for singular Markov jump neural networks based on hybrid event trigger scheme

Abstract

This article considers the driving-response-based exponential synchronization issue for delayed singular Markov jump neural networks by virtue of hybrid event triggering strategy. By employing singular value decomposition method, the regularity and impulse-freeness of synchronization error system are obtained. Under the framework of hybrid event-triggered scheme, the novel exponential admissibility conditions, mixed H∞ and passive performance are acquired by establishing improved Lyapunov–Krasovskill functional and dealing with nonlinear neuron activation function. Furthermore, the desired synchronization state feedback controller is designed by virtue of linear matrix inequalities. Finally, a numerical example and an analog resistance-capacitance network circuit are used to verify the effectiveness and practicability of the method.