Some new results on the global uniform asymptotic stability of time-varying dynamical systems

被引：10

作者：

Taieb, Nizar Hadj ^{[1
]}

Hammami, Mohamed Ali ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, BP 1171, Sfax, Tunisia

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2018年 / 35卷 / 03期

关键词：

time varying perturbed systems; Lyapunov theory; global uniform asymptotic stability; NONHOLONOMIC MOBILE ROBOTS; NONLINEAR CASCADE SYSTEMS; LYAPUNOV FUNCTIONS; PRACTICAL STABILITY; PERTURBED SYSTEMS; STABILIZATION; FEEDBACK; THEOREM;

D O I：

10.1093/imamci/dnx006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article presents some general results on the global uniform asymptotic stability (GUAS) of time-varying nonlinear perturbed systems without the boundedness hypothesis with respect to time. The main contribution is the development of a new Lyapunov function to obtain a GUAS of some perturbed systems. Therefore, we generalized some works which are already made in the literature. Furthermore, some illustrative examples are presented.

引用

页码：901 / 922

页数：22

共 50 条

[21] On asymptotic stability of linear time-varying systems
Zhou, Bin
[J]. AUTOMATICA, 2016, 68 : 266 - 276
[22] SOME NEW RESULTS IN LINEAR TIME-VARYING SYSTEMS
WU, MY
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, AC20 (01) : 159 - 161
[23] Uniform stability of homogeneous time-varying systems
Zhang, Bin
Jia, Yingmin
Du, Junping
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (01) : 103 - 110
[24] SOME RECENT RESULTS ON THE STABILITY OF LINEAR TIME-VARYING SYSTEMS
PRADEEP, S
SHRIVASTAVA, SK
[J]. SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 1988, 13 : 157 - 167
[25] Some Results on Stability and Stabilization of Homogeneous Time-Varying Systems
Hamadi Jerbi
Thouraya Kharrat
Wajdi Kallel
[J]. Mediterranean Journal of Mathematics, 2013, 10 : 177 - 188
[26] Some Results on Stability and Stabilization of Homogeneous Time-Varying Systems
Jerbi, Hamadi
Kharrat, Thouraya
Kallel, Wajdi
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (01) : 177 - 188
[27] SOME RESULTS ON LP STABILITY OF LINEAR TIME-VARYING SYSTEMS
WILLEMS, JC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (06) : 660 - +
[28] Uniform global asymptotic stability for nonautonomous nonlinear dynamical systems
Sugie, Jitsuro
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (01)
[29] NEW RESULTS IN THE REDUCTION OF LINEAR TIME-VARYING DYNAMICAL-SYSTEMS
ZHU, J
JOHNSON, CD
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (03) : 476 - 494
[30] New results of stability analysis for systems with time-varying delay
Zhu, Xun-Lin
Yang, Guang-Hong
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 596 - 606

← 1 2 3 4 5 →