On the stability of nonlinear differential equations via time-varying nonsmooth Lyapunov functions

被引：0

作者：

Phat, VN ^{[1
]}

Linh, NM ^{[1
]}

机构：

[1] Natl Ctr Sci & Technol, Inst Math, Hanoi 10000, Vietnam

来源：

DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 2 | 2002年

关键词：

Exponential stability; Lyapunov function; time-varying equations; non-Lypchitz function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives new sufficient conditions for exponential stability of a class of nonlinear time-varying differential equations. The nonsmooth Lyapunov functions proposed in the paper need not to be Lipschitzian. Our results are obtained via the second Lyapunov method cover some previous results.

引用

页码：159 / 167

页数：9

共 50 条

[21] Stability analysis of time-varying switched systems via indefinite difference Lyapunov functions
Li, Huijuan
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 48
[22] Stability of Switching Linear Uncertain Systems via switching time-varying Lyapunov functions
Zheng, Huimin
Sun, Yuangong
[J]. 2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022), 2022, : 899 - 904
[23] Input-to-state stability of time-varying nonlinear discrete-time systems via indefinite difference Lyapunov functions
Li, Huijuan
Liu, Anping
Zhang, Linli
[J]. ISA TRANSACTIONS, 2018, 77 : 71 - 76
[24] Stability of time-varying systems in the absence of strict Lyapunov functions
Naser, Mohammad Fuad Mohammad
Ikhouane, Faycal
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (02) : 461 - 483
[25] Stability of periodically time-varying systems: Periodic Lyapunov functions
Boehm, Christoph
Lazar, Mircea
Allgoewer, Frank
[J]. AUTOMATICA, 2012, 48 (10) : 2663 - 2669
[26] TIME-VARYING LYAPUNOV FUNCTIONS FOR LINEAR TIME-VARYING SYSTEMS
RAMARAJAN, S
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (06) : 1699 - 1702
[27] CANONICAL PROGRAMMING OF NONLINEAR AND TIME-VARYING DIFFERENTIAL EQUATIONS
SOUDACK, AC
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1968, C 17 (04) : 402 - &
[28] Exponential convergence of nonlinear time-varying differential equations
Errebii, M.
Ellouze, I.
Hammami, M. A.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (04): : 167 - 175
[29] Exponential convergence of nonlinear time-varying differential equations
M. Errebii
I. Ellouze
M. A. Hammami
[J]. Journal of Contemporary Mathematical Analysis, 2015, 50 : 167 - 175
[30] Stability analysis for a class of switched systems with state constraints via time-varying Lyapunov functions
Wang, Siqi
Ma, Ruicheng
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (16): : 8933 - 8949

← 1 2 3 4 5 →