✦ LIBER ✦

A semi-free weighting matrices approach for neutral-type delayed neural networks

✍ Scribed by Huanhuan Mai; Xiaofeng Liao; Chuandong Li

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 764 KB
Volume: 225
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.06.016

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a new approach is proposed for stability issues of neutral-type neural networks (DNNs) with constant delay. First, the semi-free weighting matrices are proposed and used instead of the known free weighting matrices to express the relationship between the terms in the Leibniz-Newton formula to simplify the system synthesis and to obtain less computation demand. Second, global exponential stability conditions which are less conservative and restrictive than the known results are derived. At the same time, based on the above approach, fewer variable matrices are introduced in the construction of the Lyapunov functional and augmented Lyapunov functional. Two examples are given to show their effectiveness and advantages over others.

📜 SIMILAR VOLUMES

Existence of periodic solutions for a cl

Existence of periodic solutions for a class of Cohen–Grossberg type neural networks with neutral delays

✍ S. Mandal; N.C. Majee 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 371 KB

In this short communication Cohen-Grossberg neural network with neutral delays is studied by means of an abstract theorem of k-set contractive operator and some analysis techniques. Sufficient conditions are obtained for the existence of periodic solutions.