zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Impulsive effects on global asymptotic stability of delay BAM neural networks. (English) Zbl 1152.34386
Summary: Based on the proper Lyapunov functions and the Jacobsthal liner inequality, some sufficient conditions are presented in this paper for global asymptotic stability of delay bidirectional associative memory neural networks with impulses. The obtained results are independently of the delay parameters and can be easily verified. Also, some remarks and an illustrative example are given to demonstrate the effectiveness of the obtained results.

34K45Functional-differential equations with impulses
92B20General theory of neural networks (mathematical biology)
34D23Global stability of ODE
Full Text: DOI
[1] Kosto, B.: Bi-directional associative memories, IEEE trans syst man cybernet 18, 49-60 (1988)
[2] Zhao, H. Y.: Global stability of bidirectional associative memory neural networks with distributed delays, Phys lett A 297, 182-190 (2002) · Zbl 0995.92002 · doi:10.1016/S0375-9601(02)00434-6
[3] Chen, A.; Cao, J. D.; Huang, L.: Exponential stability of BAM neural networks with transmission delays, Neurocomputing 57, 435-454 (2004)
[4] Cao, J. D.; Dong, M.: Exponential stability of delayed bi-directional associative memory networks, Appl math comput 135, 105-112 (2003) · Zbl 1030.34073 · doi:10.1016/S0096-3003(01)00315-0
[5] Li, Y.: Global exponential stability of BAM neural networks with delays and impulses, Chaos, solitons & fractals 24, 279-285 (2005) · Zbl 1099.68085
[6] Lou, X. Y.; Cui, B. T.: Global asymptotic stability of delay BAM neural networks with impulses, Chaos, solitons & fractals 29, 1023-1031 (2006) · Zbl 1142.34376
[7] Li, C.; Liao, X.; Zhang, R.: Delay-dependent exponential stability analysis of bidirectional associative memory neural networks with time delay: an LMI approach, Chaos, solitons & fractals 24, 1119-1134 (2005) · Zbl 1101.68771
[8] Li, Y.: Existence and stability of periodic solution for BAM neural networks with distributed delays, Appl math comput 159, 847-862 (2004) · Zbl 1073.34080 · doi:10.1016/j.amc.2003.11.007
[9] Zhang, Q.; Wei, X.; Xu, J.: Delay-dependent exponential stability of cellular neural networks with time-varying delays, Chaos, solitons & fractals 23, 1363-1369 (2005) · Zbl 1094.34055
[10] Cao, J. D.; Wang, L.: Periodic oscillatory solution of bidirectional associative memory networks with delays, Phys rev E 61, No. 2, 1825-1828 (2000)
[11] Song, Q. J.; Cao, J. D.: Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction -- diffusion terms, Chaos, solitons & fractals 23, 421-430 (2005) · Zbl 1068.94534