Revisited criteria for absolute stability of systems with state-dependent nonlinearities

被引:0
|
作者
Rong, Li [1 ]
Chao, Liu [2 ]
机构
[1] Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China
[2] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
基金
美国国家科学基金会;
关键词
Absolute stability; State-dependent nonlinearity; Linear matrix inequality (LMI); MULTIPLE NONLINEARITIES; ROBUST STABILITY;
D O I
暂无
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 paper is concerned with the problem of absolute stability of systems with sector-bounded state-dependent nonlinearities. Using a Lure function as a Lyapunov function, a linear matrix inequalities (LMI) stability condition is derived. Comparing with the results available in the literature, the proposed stability condition further reduces the conservatism by relaxing some restrictions of the Lure function, as is illustrated by a numerical example. In addition, frequency-domain interpretation of the feasibility of the LMI is deduced by using the KYP Lemma.
引用
收藏
页码:1368 / 1372
页数:5
相关论文
共 50 条
  • [41] Global Stability of Fractional Nonlinear Differential Systems With State-Dependent Delayed Impulses
    Kao, Yonggui
    Li, Hui
    Liu, Yunlong
    Xia, Hongwei
    Wang, Changhong
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (11) : 16960 - 16965
  • [42] Ergodicity and stability of hybrid systems with piecewise constant type state-dependent switching?
    Shao, Jinghai
    Wang, Lingdi
    Wu, Qiong
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 161 : 1 - 23
  • [43] On local stability of stochastic delay nonlinear discrete systems with state-dependent noise
    Diblik, J.
    Rodkina, A.
    Smarda, Z.
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 374 (374)
  • [44] Stability Analysis of Impulsive Switched Nonlinear Systems With Double State-Dependent Delays
    Wang, Zhichuang
    Chen, Guoliang
    Ning, Zepeng
    Xia, Jianwei
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (12) : 5014 - 5018
  • [45] Towards stability analysis of jump linear systems with state-dependent and Stochastic switching
    Tejada, A
    González, OR
    Gray, WS
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1893 - 1898
  • [46] On the stability of diffusion processes with state-dependent switching
    Xi Fubao
    Zhao Liqin
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (09): : 1258 - 1274
  • [47] Exponential stability of a state-dependent delay system
    Gyori, Istvan
    Hartung, Ferenc
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 18 (04) : 773 - 791
  • [48] On the stability of diffusion processes with state-dependent switching
    Fubao Xi
    Liqin Zhao
    Science in China Series A: Mathematics, 2006, 49 : 1258 - 1274
  • [49] Stability of Piecewise Affine Systems with State-Dependent Delay, and Application to Congestion Control
    Fiter, Christophe
    Fridman, Emilia
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1572 - 1577
  • [50] Stability Analysis for A Class of Nonlinear Systems via State-dependent Lyapunov Functions
    Chen, JianLiang
    Chen, XiaoHui
    Cao, Yong-Yan
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1274 - 1279