EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY

DOI10.1142/S0218127409023329zbMath1167.34391MaRDI QIDQ3391942

Hui Wang, Hongbing Xu, Chuandong Li

Publication date: 13 August 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

exponential stabilityperiodic solutiondegree theoryleakage delaycellular neural networks (CNNs)

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks ⋮ Periodic solution for impulsive cellar neural networks with time-varying delays in the leakage terms ⋮ Exponential convergence for cellular neural networks with time-varying delays in the leakage terms ⋮ Design of state estimator for bidirectional associative memory neural networks with leakage delays ⋮ A stability study on first-order neutral systems with three rationally independent time delays ⋮ Almost periodic solutions for neutral-type neural networks with the delays in the leakage term on time scales

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