Fixed/Preassigned-Time Stability of Time-Varying Nonlinear System With Discontinuity: Application to Chua's Circuit

被引：16
|
作者：
Cai, Zuowei [1 ]
Huang, Lihong [2 ]
Wang, Zengyun [3 ]
机构：
[1] Hunan Womes Univ, Coll Informat Sci & Engn, Changsha 410004, Peoples R China
[2] Changsha Univ, Dept Math & Comp Sci, Changsha 410022, Peoples R China
[3] Hunan First Normal Univ, Dept Math, Changsha 410205, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2022年 / 69卷 / 06期
关键词：
Stability criteria; Circuit stability; Lyapunov methods; Estimation; Time-varying systems; Synchronization; Circuits and systems; Fixed-time stability(FXTS); preassigned-time stability (PATS); discontinuous system; Lyapunov approach; Chua's circuit; FINITE-TIME; STABILIZATION;
D O I：
10.1109/TCSII.2022.3166776
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief studies the fixed/preassigned-time stability problems for a class of time-varying discontinuous system modeled by ordinary differential equation (ODE). By using a special exponential function and developing an indefinite derivative Lyapunov function method, the novel fixed-time stability (FXTS) and preassigned-time stability (PATS) criteria are established, where the settling-time (S-T) of FXTS is estimated and the preassigned-time is given for PATS. Then the established FXTS/PATS results are applied to achieve the fixed/preassigned-time stabilization of Chua's circuit system (CCS) by designing switching external control input.
引用
收藏
页码：2987 / 2991
页数：5
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