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)
Analysis and design of switched normal systems. (English) Zbl 1119.34042
The stability for a class of switched systems composed of both continuous-time and discrete-time LTI normal subsystems are studied. The authors show that when all continuous-time systems are Hurwitz stable and all discrete-time subsystems are Schur stable, a common quadratic Lyapunov function V(x)=x T x exists for the subsystems and thus the switched system is exponentially stable under arbitrary switching. They also show that when unstable subsystems are involved, if the activation time ratio between unstable subsystems and stable ones is less than a specified value, then the switched system is exponentially stable with the desired decay rate.
Reviewer: Anh Cung (Hanoi)
MSC:
34D20Stability of ODE
34A36Discontinuous equations