Liapunov functional

In this article, we study cellular neural networks (CNNs) with timevarying coefficients, bounded and unbounded delays. By introducing a new Liapunov functional to approach unbounded delays and using the continuation theorem of coincidence degree, we obtain some sufficient conditions to ensure the existence periodic solutions and global exponential stability of CNNs.

9p tamynhan5 10-12-2020 12 1   Download

In this paper, the author study positive recurrence for a wide class of jump diffusions by using Khasminskii’s approach developed in. We show that the property of positive recurrence is independent of the choice of the bounded domain in the state space. Moreover, the author establish a sufficient condition for positive recurrence using Liapunov functions.

10p trieuroger 11-09-2018 21 0   Download