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)
On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. (English) Zbl 1168.34354

Authors’ abstract: We propose a new delay-dependent stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality. Numerical examples are given to show the effectiveness of our result.

Reviewer’s comment: On the first glance the setting of the problem is different from that one in the paper of the same authors, published in the same journal and volume [Appl. Math. Comput. 203, No. 2, 843–853 (2008; Zbl 1168.34046)]. Here, the problem is nonlinear, whereas it is linear in the cited paper. However, if one considers the nonlinearities as the uncertainty terms in the cited paper, both settings become less or more the same. So, nothing to wonder that also the approaches and the results are similar. So, one wonders after all, why no one of the two papers contains a reference to the other one.

34K20Stability theory of functional-differential equations
34K40Neutral functional-differential equations
93D09Robust stability of control systems