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)
Strong stabilization of neutral functional differential equations. (English) Zbl 1005.93026

Feedback stabilization of a particular type of neutral ordinary differential equations (ODEs) with constant delays is studied by an abstract method, claimed to be ‘unifying’. In the systems in question, the velocity depends on the past velocity and on external inputs. It depends neither on the past acceleration nor on any constraint. Neutral ODEs deriving from a Hamiltonian with delay, frequent in practice, are not even mentioned.

Although several fundamental properties of ODEs with variously shifted arguments were already known to Euler and Lagrange, the earliest cited reference dates back only to a SIAM paper of 1983.

Not a single genuinely applied system is examined showing the superiority of the promoted ‘unifying’ approach over any current ‘pedestrian’ one.

MSC:
93C25Control systems in abstract spaces
93D15Stabilization of systems by feedback