Abstract
A small-gain theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits notions of weighted, uniform, and nonuniform input-to-output stability properties. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate are also presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1483-1517 |
| Number of pages | 35 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 46 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2007 |
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Keywords
- Control systems
- Input-to-output stability
- Small-gain theorem
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
- Control and Optimization
Cite this
A small-gain theorem for a wide class of feedback systems with control applications. / Karafyllis, Iasson; Jiang, Zhong-Ping.
In: SIAM Journal on Control and Optimization, Vol. 46, No. 4, 2007, p. 1483-1517.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A small-gain theorem for a wide class of feedback systems with control applications
AU - Karafyllis, Iasson
AU - Jiang, Zhong-Ping
PY - 2007
Y1 - 2007
N2 - A small-gain theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits notions of weighted, uniform, and nonuniform input-to-output stability properties. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate are also presented.
AB - A small-gain theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits notions of weighted, uniform, and nonuniform input-to-output stability properties. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate are also presented.
KW - Control systems
KW - Input-to-output stability
KW - Small-gain theorem
UR - http://www.scopus.com/inward/record.url?scp=46749118333&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=46749118333&partnerID=8YFLogxK
U2 - 10.1137/060669310
DO - 10.1137/060669310
M3 - Article
AN - SCOPUS:46749118333
VL - 46
SP - 1483
EP - 1517
JO - SIAM Journal on Control and Optimization
JF - SIAM Journal on Control and Optimization
SN - 0363-0129
IS - 4
ER -