Estimation of asymptotic stability regions via homogeneous polynomial Lyapunov functions

被引：11
|
作者：
Fujisaki, Y [1 ]
Sakuwa, R
机构：
[1] Kobe Univ, Dept Syst & Comp Engn, Nada Ku, Kobe, Hyogo 6578501, Japan
[2] Kobe Univ, Grad Sch Sci & Technol, Nada Ku, Kobe, Hyogo 6578501, Japan
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2006年 / 79卷 / 06期
关键词：
D O I：
10.1080/00207170600578324
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Asymptotic stability regions of non-linear dynamical systems are estimated by using homogeneous polynomial Lyapunov functions, which include quadratic Lyapunov functions as a special case. The non-linear system is represented as a convex hull of some linear systems in a specified region of the state space. It is shown that the estimation can be formulated as an LMI optimization problem in an augmented state space.
引用
收藏
页码：617 / 623
页数：7
相关论文
共 50 条
  • [21] Stability Region Analysis for Polynomial Fuzzy Systems by Polynomial Lyapunov Functions
    Chen, Ying-Jen
    Tanaka, Motoyasu
    Tanaka, Kazuo
    Wang, Hua O.
    2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, : 2091 - 2095
  • [22] Stability and Stabilization of Heterogeneous Switched Systems with Mode-Dependent Average Dwell Time via Homogeneous Polynomial Lyapunov Functions Approach
    Yu, Shaohang
    Wu, Chengfu
    Wang, Liang
    Wu, Jia-Nan
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2020, 29 (16)
  • [23] Homogeneous polynomial Lyapunov functions for the admissibility analysis of uncertain descriptor systems
    dos Santos Paulino, Ana Carolina
    Bara, Gabriela Iuliana
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [24] Robust analysis of LFR systems through homogeneous polynomial Lyapunov functions
    Chesi, G
    Garulli, A
    Tesi, A
    Vicino, A
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (07) : 1211 - 1216
  • [25] Stability Analysis and Region-of- Attraction Estimation Using Piecewise Polynomial Lyapunov Functions: Polynomial Fuzzy Model Approach
    Chen, Ying-Jen
    Tanaka, Motoyasu
    Tanaka, Kazuo
    Wang, Hua O.
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (04) : 1314 - 1322
  • [26] Piecewise Polynomial Lyapunov Functions Based Stability Analysis for Polynomial Fuzzy Systems
    Chen, Ying-Jen
    Tanaka, Motoyasu
    Tanaka, Kazuo
    Wang, Hua O.
    2013 IEEE INTERNATIONAL CONFERENCE ON CONTROL SYSTEM, COMPUTING AND ENGINEERING (ICCSCE 2013), 2013, : 34 - +
  • [27] Asymptotic Stability of Piecewise Affine Systems With Filippov Solutions via Discontinuous Piecewise Lyapunov Functions
    Iervolino, Raffaele
    Trenn, Stephan
    Vasca, Francesco
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (04) : 1513 - 1528
  • [28] Lyapunov functions to analyse stability regions of aeroelastic equation
    Pospisil, Stanislav
    Naprstek, Jiri
    PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS, EURODYN 2011, 2011, : 2035 - 2042
  • [29] UNIFORM GLOBAL ASYMPTOTIC STABILITY OF ADAPTIVELY CONTROLLED NONLINEAR SYSTEMS VIA STRICT LYAPUNOV FUNCTIONS
    Mazenc, Frederic
    de Queiroz, Marcio
    Malisoff, Michael
    PROCEEDINGS OF THE ASME DYNAMIC SYSTEMS AND CONTROL CONFERENCE 2008, PTS A AND B, 2009, : 67 - 72
  • [30] Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems
    Li, Huijuan
    Liu, Anping
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 38
12345