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)
Exponential convergence for a class of delayed cellular neural networks with time-varying coefficients. (English) Zbl 1217.34069
Summary: In this Letter, we consider a class of delayed cellular neural networks with time-varying coefficients. By applying Lyapunov functional method and differential inequality techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point.

34C25Periodic solutions of ODE
34K13Periodic solutions of functional differential equations
34K25Asymptotic theory of functional-differential equations
82C32Neural nets (statistical mechanics)
92B20General theory of neural networks (mathematical biology)
Full Text: DOI
[1] Chua, L. O.; Roska, T.: Cellular neural networks with nonlinear and delay-type template elements. Proceedings of 1990 IEEE int. Workshop on cellular neural networks and their applications, 12-25 (1990)
[2] Cho, H. J.; Park, J. H.: Chaos solitons fractals. 32, No. 3, 1194 (2007)
[3] Park, J. H.: Appl. math. Comput.. 183, No. 2, 1214 (2006)
[4] Zhang, H.; Wang, G.: Neurocomputing. 70, No. 13 -- 15, 2486 (2007)
[5] Cao, J.; Ho, D. W. C.; Huang, X.: Nonlinear anal.. 66, No. 7, 1558 (2007)
[6] Liu, B.; Huang, L.: Neurocomputing. 69, 2090 (2006)
[7] Cao, J.; Wang, J.: Neural networks. 17, No. 3, 379 (2004) · Zbl 1074.68049
[8] Lu, W.; Chen, T.: Sci. China ser. A math.. 8, No. 48, 1015 (2005)