A hybrid trigger strategy based mixed impulsive control scheme on uncertain local field neural networks with leakage delay.

Solved in this paper is the stabilization of uncertain local field neural networks (ULFNNs) with leakage delay by dint of a mixed impulsive control scheme. The impulsive control instants are decided by a Lyapunov functional-based event triggered scheme and a periodic impulse triggered scheme. Based on the proposed control scheme, sufficient conditions are deduced for eliminating the Zeno behavior and guaranteeing the uniform asymptotic stability (UAS) of the delayed ULFNNs in the framework of Lyapunov functional analysis method. Different from individual event triggered impulse control strategy where the triggered instants may be unexpected, the mixed impulsive control scheme can release the impulse control instants in line with the distance between any two adjacent successful control points, which improves the control performance and also achieves the goal of saving the communication resource. Furthermore, the decay behavior of impulse control signal is considered to make mathematical derivation more practical, and based on this behavior, a criterion is derived to make ensure the exponential stability of delayed ULFNNs. Finally, numerical examples are given to illustrate the effectiveness of the designed controller for the ULFNNs with leakage delay.