Finite-time stability of nonlinear time-varying systems with saturated impulse inputs

被引：5

作者：

Gan, Runting ^{[1
]}

Li, Chuandong ^{[1
]}

机构：

[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing Key Lab Nonlinear Circuits & Intelligen, Chongqing 400715, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 04期

关键词：

Finite-time stability; Finite-time contractive stability; Saturated impulse inputs; Convex analysis; Lyapunov function; STATE-FEEDBACK CONTROL; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILIZATION; SYNCHRONIZATION; MODELS; DELAY;

D O I：

10.1007/s11071-022-08024-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The aim of this paper is to analyze the finite-time stability (FTS) of nonlinear time-varying systems with saturated impulse inputs and further analyze the finite-time contractive stability (FTCS). By employing theories of convex analysis, impulsive control, matrix inequality and Lyapunov function, several results about FTS and FTCS of nonlinear time-varying systems with saturated impulse inputs are obtained. The simulation examples show the validation of the proposed results.

引用

页码：3497 / 3507

页数：11

共 40 条

[1] Finite-time control of linear systems subject to parametric uncertainties and disturbances
Amato, F
Ariola, M
Dorato, P
[J]. AUTOMATICA, 2001, 37 (09) : 1459 - 1463
[2] Lyapunov stability analysis of a mass-spring system subject to friction
Barreau, Matthieu
Tarbouriech, Sophie
Gouaisbaut, Frederic
[J]. SYSTEMS & CONTROL LETTERS, 2021, 150
[3] STABILITY ANALYSIS OF NON-LINEAR DYNAMICAL-SYSTEMS
BITSORIS, G
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1983, 38 (03) : 699 - 711
[4] Finite-time synchronization by switching state-feedback control for discontinuous Cohen-Grossberg neural networks with mixed delays
Cai, Zuo-Wei
Huang, Li-Hong
[J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2018, 9 (10) : 1683 - 1695
[5] Practical finite-time stability of switched nonlinear time-varying systems based on initial state-dependent dwell time methods
Chen, Guopei
Deng, Feiqi
Yang, Ying
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
[6] Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithm
Chen, Zhihua
Xie, Yongchun
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (10) : 2224 - 2242
[7] Cheng Xin-ming, 2003, Systems Engineering and Electronics, V25, P454
[8] An Adaptive neuro-fuzzy backstepping sliding mode controller for finite time stabilization of fractional-order uncertain chaotic systems with time-varying delays
Dalir, Mehdi
Bigdeli, Nooshin
[J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (07) : 1949 - 1971
[9] Finite-Time Stability and Stabilization of Switched Linear Time-Varying Systems with Time-Varying Delay
Feng, Lulu
Zhao, Ping
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[10] Stability of nonlinear variable-time impulsive differential systems with delayed impulses
He, Zhilong
Li, Chuandong
Cao, Zhengran
Li, Hongfei
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 39

← 1 2 3 4 →