zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
New criteria for synchronization stability of general complex dynamical networks with coupling delays. (English) Zbl 1236.34069
Summary: Complex dynamical networks are attracting more and more attention due to their ubiquity in the natural world. This Letter presents several new delay-dependent conditions for a general complex dynamical network model with coupling delays, which guarantee the synchronized states to be asymptotically stable. These conditions are expressed as linear matrix inequalities, readily solvable by available numerical software. Both continuous- and discrete-time networks are taken into consideration. It is shown theoretically that the condition for continuous-time delayed networks developed in this Letter encompasses an established result in the literature as a special case. In addition, similar delay-dependent results are derived for discrete-time delayed networks, for the first time in the literature. The most important feature of the results obtained in this Letter is that they are less conservative, which is illustrated by a numerical example.
MSC:
34D06Synchronization
93D99Stability of control systems