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)
Hybrid feedback stabilization of systems with quantized signals. (English) Zbl 1030.93042
The author generalizes previous work of himself and R. Brackett (2000). He considers more general types of quantizers with quantization regions having arbitrary shapes as in [J. Lunze, B. Nixdorf, and J. Schröder, ibid. 35, 395-406 (1999; Zbl 0942.93026)]. In addition, he addresses the quantized feedback stabilization problem for nonlinear systems. Analogous results for systems with input quantization, both linear and nonlinear are developed in this paper. He uses Lyapunov stability, hybrid systems, and input to state stability notions for the analysis.
MSC:
93D15Stabilization of systems by feedback
93B12Variable structure systems
93D25Input-output approaches to stability of control systems
93C10Nonlinear control systems