Construction of ISS Lyapunov functions for Hamiltonian systems with multiple disturbances

被引：1
|
作者：
Hao, Sheng [1 ]
Kobayashi, Yuh Yamashita Koichi [1 ]
机构：
[1] Hokkaido Univ, Sapporo, Hokkaido, Japan
来源：
IFAC PAPERSONLINE | 2021年 / 54卷 / 14期
关键词：
Input to state stability; Nonlinear sytem; Hamiltonian system; ISS Lyapunov function; INTERCONNECTION;
D O I：
10.1016/j.ifacol.2021.10.366
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we proposed a way to construct a ISS Lyapunov function for a class of nonlinear mechanical Hamilton systems with a force disturbance and a velocity disturbance. The construction is based on several assumptions with respect to the system parameters, while those assumptions are easy to be satisfied in practical application. With this result, we can not only make the asymptotic stability analysis of nonlinear pH system easier, but also combine the research result with ISS small gain theorem to discuss the stability of systems in wider area. Copyright (C) 2021 The Authors.
引用
收藏
页码：281 / 286
页数：6
相关论文
共 50 条
  • [41] Unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions or first integrals
    McLachlan, RI
    Quispel, GRW
    Robidoux, N
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (12) : 2399 - 2403
  • [42] A Multiple Lyapunov Functions Approach for Stability of Switched Systems
    Lu, Jin
    Brown, Lyndon J.
    [J]. 2010 AMERICAN CONTROL CONFERENCE, 2010, : 3253 - 3256
  • [43] DISCOVERING MULTIPLE LYAPUNOV FUNCTIONS FOR SWITCHED HYBRID SYSTEMS
    She, Zhikun
    Xue, Bai
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (05) : 3312 - 3340
  • [44] COMPUTATION OF LYAPUNOV FUNCTIONS FOR SYSTEMS WITH MULTIPLE LOCAL ATTRACTORS
    Bjornsson, Johann
    Giesl, Peter
    Hafstein, Sigurdur F.
    Kellett, Christopher M.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (09) : 4019 - 4039
  • [45] On construction of smooth Lyapunov functions for non-smooth systems
    Wu, Q
    Onyshko, S
    Sepehri, N
    Thornton-Trump, AB
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1998, 69 (03) : 443 - 457
  • [46] Construction of nonpathological Lyapunov functions for discontinuous systems with Caratheodory solutions
    Armaki, Alireza Faraji
    Pariz, Naser
    Asgharian, Rajab
    [J]. ASIAN JOURNAL OF CONTROL, 2012, 14 (01) : 284 - 287
  • [47] Construction of Lyapunov Functions for Homogeneous Second-Order Systems
    Lopez-Ramirez, Francisco
    Sanchez, Tonameti
    Moreno, Jaime A.
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 5494 - 5499
  • [48] Construction of Lyapunov functions for nonlinear planar systems by linear programming
    Giesl, Peter
    Hafstein, Sigurdur
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 463 - 479
  • [49] Construction of Lyapunov functions for a class of systems of nonlinear differential equations
    A. Yu. Aleksandrov
    A. V. Platonov
    [J]. Differential Equations, 2007, 43 : 276 - 279
  • [50] Universal construction of control Lyapunov functions for a class of nonlinear systems
    Cai Xiushan Wang Xiaodong Zhang Haoran Coll.of Information Science and Engineering
    [J]. Journal of Systems Engineering and Electronics, 2007, (03) : 598 - 602
12345