Game-based Control Systems: A Semi-tensor Product Formulation

被引：0
作者：
Cheng, Daizhan [1 ]
Zhao, Yin [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
来源：
2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV) | 2012年
关键词：
Dynamic game; payoff function; semi-tensor product; optimal control; Nash equilibrium;
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：
A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems. Hence, the classical techniques for control systems are applicable to such systems. Semi-tensor product formulation of such systems is investigated. Some related optimal control problems are also investigated.
引用
收藏
页码：1691 / 1695
页数：5
相关论文
共 50 条
  • [1] Modeling Based on Semi-tensor Product for Radiant Floor Cooling Systems
    Qin, Fenghua
    Wang, Chongjie
    Feng, Liye
    Lv, Hongli
    10TH INTERNATIONAL SYMPOSIUM ON HEATING, VENTILATION AND AIR CONDITIONING, ISHVAC2017, 2017, 205 : 3782 - 3788
  • [2] Design for vegetable waste fermentation control systems based on semi-tensor product fuzzy controller
    Wang, Zuoxun
    Wang, Guijuan
    Guo, Rongwei
    ADVANCES IN MECHANICAL ENGINEERING, 2018, 10 (08):
  • [3] Hierarchical Fuzzy Control of Multivariable Systems via Semi-tensor Product Method
    Ge Aidong
    Wang Yuzhen
    Liu Zhenbin
    Jiang Ping
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4551 - 4556
  • [4] Diagnosability of composite automata based on semi-tensor product
    Chen, Zengqiang
    Zhou, Yingrui
    Zhang, Zhipeng
    Yan, Yongyi
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2021, 9 (09): : 119 - 131
  • [5] A Semi-Tensor Product of Tensors and Applications
    Liu, Wei-Hui
    Xie, Ze-Jia
    Jin, Xiao-Qing
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 12 (03) : 696 - 714
  • [6] Raw Material Composition Control Method for Cement Based on Semi-Tensor Product
    Jiang, Ping
    Yu, Hongliang
    Li, Shi
    Wang, Xiaohong
    JOURNAL OF ROBOTICS AND MECHATRONICS, 2019, 31 (01) : 63 - 69
  • [7] A Survey on Semi-Tensor Product of Matrices
    Daizhan Cheng
    Hongsheng Qi
    Ancheng Xue
    Journal of Systems Science and Complexity, 2007, 20 : 304 - 322
  • [8] A survey on semi-tensor product of matrices
    Cheng, Daizhan
    Qi, Hongsheng
    Xue, Ancheng
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2007, 20 (02) : 304 - 322
  • [9] Image encryption algorithm based on semi-tensor product theory
    Xiao, Yi
    Lin, Zhen-Rong
    Xu, Qian
    Du, Jin
    Gong, Li-Hua
    JOURNAL OF MODERN OPTICS, 2022, 69 (19) : 1063 - 1078
  • [10] Indoor Localization Based on Semi-tensor Product Compression Sensing
    Lan, Xin
    Pu, Qiaolin
    Zhou, Mu
    Yang, Xiaolong
    Chen, Youkun
    Long, Quan
    Fu, Li
    2022 IEEE 10TH ASIA-PACIFIC CONFERENCE ON ANTENNAS AND PROPAGATION, APCAP, 2022,
12345