IJPAM: Volume 78, No. 5 (2012)

STABILITY ANALYSIS OF DISCRETE-TIME NEURAL
NETWORKS WITH DELAYED INTERACTIONS:
TORUS, RING, GRID, LINE

Sergey Ivanov$^1$, Mikhail Kipnis$^2$
$^{1,2}$Department of Mathematics
Chelyabinsk State Pedagogical University
Chelyabinsk, 454080, RUSSIAN FEDERATION
$^2$Department of Mathematics
South Ural State University
Chelyabinsk, 454080, RUSSIAN FEDERATION


Abstract. In this paper, the stability problem for discrete-time neural networks with delayed interactions is investigated resorting to method of the stability cones. Torus, ring, grid and line are considered. The problem reduces to the stability problem for matrix delay difference equations of higher order.

Received: March 7, 2012

AMS Subject Classification: 35A11

Key Words and Phrases: neural networks, stability, delay difference equations, stability cones

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 5