This paper investigates the asymptotic stability of a class of impulsive high-order neural networks, which can be considered as an expansion of Hopfield neural networks. By employing Lyapunov functions and linear matrix inequality (LMI) technique, sufficient conditions that guarantee the global...

This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is...

Stability properties of Runge–Kutta methods for the linear neutral delay-integro-differential-algebraic system are considered. It is proved that every A-stable natural Runge–Kutta method preserves the delay-independent stability of the exact solution. Some numerical experiments are given.