Modeling and Stability Analysis for Markov Jump Networked Evolutionary Games

被引:0
|
作者
Zhao, Guodong [1 ]
机构
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
NONLINEAR DIFFERENTIAL-SYSTEMS; SWITCHED BOOLEAN NETWORKS; TO-STATE STABILITY; OUTPUT TRACKING; NEURAL-NETWORKS; CONTROL DESIGN; FEEDBACK STABILIZATION; STRATEGY OPTIMIZATION; DELAY; SYNCHRONIZATION;
D O I
10.1155/2018/5124343
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates the algebraic formulation and stability analysis for a class of Markov jump networked evolutionary games by using the semitensor product method and presents a number of new results. Firstly, a proper algorithm is constructed to convert the given networked evolutionary games into an algebraic expression. Secondly, based on the algebraic expression, the stability of the given game is analyzed and an equivalent criterion is given. Finally, an example works out to support the new results.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Stochastic Stability Analysis for Networked Markov Jump System
    Zhenhua, Ma
    Aslam, Muhammad Shamrooz
    [J]. JOURNAL OF SCIENTIFIC & INDUSTRIAL RESEARCH, 2023, 82 (05): : 552 - 557
  • [2] Modeling, Analysis and Control of Networked Evolutionary Games
    Cheng, Daizhan
    He, Fenghua
    Qi, Hongsheng
    Xu, Tingting
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) : 2402 - 2415
  • [3] Stability of networked evolutionary games with payoff perturbation
    Wang, Ziyun
    Zhao, Xiaoyu
    Fu, Shihua
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2024,
  • [4] Stability Analysis of Networked Evolutionary Games with Profile-Dependent Delays
    ZHENG Yating
    LI Changxi
    FENG Jun-e
    [J]. Journal of Systems Science & Complexity, 2023, 36 (06) : 2292 - 2308
  • [5] The stability degree analysis of profiles for networked evolutionary games with switching topology
    Wang, Dong
    Fu, Shihua
    Wang, Jianjun
    Li, Ying
    Wang, Ziyun
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 50
  • [6] Stability Analysis of Networked Evolutionary Games with Profile-Dependent Delays
    Yating Zheng
    Changxi Li
    Jun-e Feng
    [J]. Journal of Systems Science and Complexity, 2023, 36 : 2292 - 2308
  • [7] Stability Analysis of Networked Evolutionary Games with Profile-Dependent Delays
    Zheng Yating
    Li Changxi
    Feng Jun-e
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (06) : 2292 - 2308
  • [8] A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays
    Guodong Zhao
    Yuzhen Wang
    Haitao Li
    [J]. IEEE/CAA Journal of Automatica Sinica, 2018, 5 (04) : 818 - 826
  • [9] A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays
    Zhao, Guodong
    Wang, Yuzhen
    Li, Haitao
    [J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2018, 5 (04) : 818 - 826
  • [10] Dynamics and stability of potential hyper-networked evolutionary games
    Liu T.
    Wang Y.-H.
    Cheng D.-Z.
    [J]. International Journal of Automation and Computing, 2017, 14 (2) : 229 - 238