On common linear copositive Lyapunov functions for pairs of stable positive linear systems

被引：24
|
作者：
Chen, Zheng [1 ]
Gao, Yan [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 04期
基金：
美国国家科学基金会;
关键词：
Positive linear systems; Switched systems; Common linear copositive Lyapunov functions;
D O I：
10.1016/j.nahs.2009.03.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the common linear copositive Lyapunov functions of positive linear systems. Firstly, we present a theorem on pairs of second order positive linear systems, and give another proof of this theorem by means of properties of geometry. Based on the process of the proof, we extended the results to a finite number of second order positive linear systems. Then we extend this result to third order systems. Finally, for higher order systems, we give some results on common linear copositive Lyapunov functions. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：467 / 474
页数：8
相关论文
共 50 条
  • [31] On Positive-Realness and Lyapunov Functions for Switched Linear Differential Systems
    Mayo-Maldonado, J. C.
    Rapisarda, P.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (08) : 2239 - 2244
  • [32] Diagonal Lyapunov functions for positive linear time-varying systems
    Khong, Sei Zhen
    Rantzer, Anders
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 5269 - 5274
  • [33] QUADRATIC LYAPUNOV FUNCTIONS FOR LINEAR SYSTEMS
    VENKATES.YV
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 : 115 - &
  • [34] Lyapunov functions for positive linear evolution problems
    Stephan, H
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2005, 85 (11): : 766 - 777
  • [35] Lyapunov Functions for Linear Hyperbolic Systems
    Atamas, Ivan
    Dashkovskiy, Sergey
    Slynko, Vitalii
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (11) : 6496 - 6508
  • [36] Stability Analysis and Constrained Control of a Class of Fuzzy Positive Systems with Delays Using Linear Copositive Lyapunov Functional
    Yanbing Mao
    Hongbin Zhang
    Chuangyin Dang
    Circuits, Systems, and Signal Processing, 2012, 31 : 1863 - 1875
  • [37] Piecewise-linear Lyapunov functions for linear stationary systems
    Bobyleva, ON
    AUTOMATION AND REMOTE CONTROL, 2002, 63 (04) : 540 - 549
  • [38] Stability Analysis and Constrained Control of a Class of Fuzzy Positive Systems with Delays Using Linear Copositive Lyapunov Functional
    Mao, Yanbing
    Zhang, Hongbin
    Dang, Chuangyin
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2012, 31 (05) : 1863 - 1875
  • [39] Piecewise-Linear Lyapunov Functions for Linear Stationary Systems
    O. N. Bobyleva
    Automation and Remote Control, 2002, 63 : 540 - 549
  • [40] Existence of Common Lyapunov Functions for Infinite-Dimensional Switched Linear Systems
    Hante, Falk M.
    Sigalotti, Mario
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 5668 - 5673
12345