Non-reduced order method to global h-stability criteria for proportional delay high-order inertial neural networks

Abstract This article mainly explores the global h-stability for proportional delay high-order inertial neural networks. Without adopting reduced order method, a new Lyapunov–Krasovskii functional is constructed to derive the delay-dependent global h-stability criterion, which is new and improves some previous works. Moreover, the approach proposed in this article is also applicable to the global h-stability for multiple proportional delay high-order inertial neural networks. Finally, three examples and their numerical simulations are presented to illustrate the effectiveness of the method.