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)
Controllability of singular systems with control delay. (English) Zbl 1058.93012
Linear finite-dimensional, continuous-time singular control systems with constant coefficients are considered. It is generally assumed that the controls are unconstrained and delayed. Using algebraic methods and the theory of singular linear differential equations, several necessary and sufficient conditions for controllability are formulated and proved. In the proofs of the main results a well-known canonical decomposition of singular control systems is extensively used. Moreover, these controllability conditions require verification of the rank of controllability matrices and have an algebraic nature. The paper contains also several remarks and comments on controllability problems for linear singular control systems and relations to controllability results in the literature. Finally, it should be mentioned that the results given in the paper are generalizations, for delayed singular control systems, of controllability conditions given in the monograph [J. Klamka, Controllability of dyamical systems, Kluwer, Dordrecht (1991; Zbl 0732.93008)] for regular delayed control systems.
MSC:
93B05Controllability
34A09Implicit equations, differential-algebraic equations
93C23Systems governed by functional-differential equations