A Global Stability Analysis of a Class of Nolinear Time-Delay Systems Using Continued Fraction Property
Summary :
We consider a class of nonlinear time delay systems with time-varying delays, and achieve a time delay independent sufficient condition for the global asymptotic stability. The sufficient condition is proved by constructing a continued fraction that represents the lower and upper bound variations of the system trajectory along the current of time, and showing that the continued fraction converges to the equilibrium point of the system. The simulation results show the validity of the sufficient condition, and illustrate that the sufficient condition is a close approximation to the unknown necessary and sufficient condition for the global asymptotic stability.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.5 pp.1274-1277
- Publication Date
- 2008/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.5.1274
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Keyword
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Joon-Young CHOI, "A Global Stability Analysis of a Class of Nolinear Time-Delay Systems Using Continued Fraction Property" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 5, pp. 1274-1277, May 2008, doi: 10.1093/ietfec/e91-a.5.1274.
Abstract: We consider a class of nonlinear time delay systems with time-varying delays, and achieve a time delay independent sufficient condition for the global asymptotic stability. The sufficient condition is proved by constructing a continued fraction that represents the lower and upper bound variations of the system trajectory along the current of time, and showing that the continued fraction converges to the equilibrium point of the system. The simulation results show the validity of the sufficient condition, and illustrate that the sufficient condition is a close approximation to the unknown necessary and sufficient condition for the global asymptotic stability.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.5.1274/_p
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@ARTICLE{e91-a_5_1274,
author={Joon-Young CHOI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Global Stability Analysis of a Class of Nolinear Time-Delay Systems Using Continued Fraction Property},
year={2008},
volume={E91-A},
number={5},
pages={1274-1277},
abstract={We consider a class of nonlinear time delay systems with time-varying delays, and achieve a time delay independent sufficient condition for the global asymptotic stability. The sufficient condition is proved by constructing a continued fraction that represents the lower and upper bound variations of the system trajectory along the current of time, and showing that the continued fraction converges to the equilibrium point of the system. The simulation results show the validity of the sufficient condition, and illustrate that the sufficient condition is a close approximation to the unknown necessary and sufficient condition for the global asymptotic stability.},
keywords={},
doi={10.1093/ietfec/e91-a.5.1274},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - A Global Stability Analysis of a Class of Nolinear Time-Delay Systems Using Continued Fraction Property
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1274
EP - 1277
AU - Joon-Young CHOI
PY - 2008
DO - 10.1093/ietfec/e91-a.5.1274
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2008
AB - We consider a class of nonlinear time delay systems with time-varying delays, and achieve a time delay independent sufficient condition for the global asymptotic stability. The sufficient condition is proved by constructing a continued fraction that represents the lower and upper bound variations of the system trajectory along the current of time, and showing that the continued fraction converges to the equilibrium point of the system. The simulation results show the validity of the sufficient condition, and illustrate that the sufficient condition is a close approximation to the unknown necessary and sufficient condition for the global asymptotic stability.
ER -
English
