Stability and sliding modes for a class of nonlinear time delay systems
Mathematica Bohemica (2011)
- Volume: 136, Issue: 2, page 155-164
- ISSN: 0862-7959
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topRăsvan, Vladimir B.. "Stability and sliding modes for a class of nonlinear time delay systems." Mathematica Bohemica 136.2 (2011): 155-164. <http://eudml.org/doc/196738>.
@article{Răsvan2011,
abstract = {The following time delay system \[ \dot\{x\} = Ax(t) + \sum \_1^rbq\_i^*x(t-\tau \_i)-b\varphi (c^*x(t)) \]
is considered, where $\varphi \colon \mathbb \{R\}\rightarrow \mathbb \{R\}$ may have discontinuities, in particular at the origin. The solution is defined using the “redefined nonlinearity” concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.},
author = {Răsvan, Vladimir B.},
journal = {Mathematica Bohemica},
keywords = {time lag; extended nonlinearity; absolute stability; time lag; extended nonlinearity; absolute stability},
language = {eng},
number = {2},
pages = {155-164},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability and sliding modes for a class of nonlinear time delay systems},
url = {http://eudml.org/doc/196738},
volume = {136},
year = {2011},
}
TY - JOUR
AU - Răsvan, Vladimir B.
TI - Stability and sliding modes for a class of nonlinear time delay systems
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 2
SP - 155
EP - 164
AB - The following time delay system \[ \dot{x} = Ax(t) + \sum _1^rbq_i^*x(t-\tau _i)-b\varphi (c^*x(t)) \]
is considered, where $\varphi \colon \mathbb {R}\rightarrow \mathbb {R}$ may have discontinuities, in particular at the origin. The solution is defined using the “redefined nonlinearity” concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.
LA - eng
KW - time lag; extended nonlinearity; absolute stability; time lag; extended nonlinearity; absolute stability
UR - http://eudml.org/doc/196738
ER -
References
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