Nash Equilibrium Seeking with Linear Time-Invariant Dynamic Agents

被引:10
作者
Ibrahim, Adrianto Ravi [1 ]
Hayakawa, Tomohisa [1 ]
机构
[1] Tokyo Inst Technol, Dept Syst & Control Engn, Tokyo 1528552, Japan
来源
2019 AMERICAN CONTROL CONFERENCE (ACC) | 2019年
关键词
CONVERGENCE;
D O I
10.23919/acc.2019.8815157
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Game with linear time-invariant dynamic agents is explored for the case where the payoff function of each agent is concave and continuously differentiable. By using passivation, a control law that asymptotically stabilize the Nash equilibrium is proposed. We use passivation to derive our control laws. We illustrate our approach with a numerical example. We also characterized the class of linear time-invariant system that can be made passive with respect to its output by dynamic feedback.
引用
收藏
页码:1202 / 1207
页数:6
相关论文
共 28 条
  • [1] Dynamic Incentives for Congestion Control
    Barrera, Jorge
    Garcia, Alfredo
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (02) : 299 - 310
  • [2] Bridgeman LJ, 2015, P AMER CONTR CONF, P4862, DOI 10.1109/ACC.2015.7172095
  • [3] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS
    BYRNES, CI
    ISIDORI, A
    WILLEMS, JC
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) : 1228 - 1240
  • [4] Autonomous Demand Side Management Based on Energy Consumption Scheduling and Instantaneous Load Billing: An Aggregative Game Approach
    Chen, He
    Li, Yonghui
    Louie, Raymond H. Y.
    Vucetic, Branka
    [J]. IEEE TRANSACTIONS ON SMART GRID, 2014, 5 (04) : 1744 - 1754
  • [5] Using an observer to transform linear systems into strictly positive real systems
    Collado, J.
    Lozano, R.
    Johansson, R.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) : 1082 - 1088
  • [6] Gather-and-broadcast frequency control in power systems
    Dorfler, Florian
    Grammatico, Sergio
    [J]. AUTOMATICA, 2017, 79 : 296 - 305
  • [7] Facchinei Francisco, 2007, Springer Series in Operations Research
  • [8] Flam S. D., 2004, Int. Game Theory Rev., V6, P181
  • [9] INTERNAL MODEL PRINCIPLE OF CONTROL-THEORY
    FRANCIS, BA
    WONHAM, WM
    [J]. AUTOMATICA, 1976, 12 (05) : 457 - 465
  • [10] Nash Equilibrium Seeking in Noncooperative Games
    Frihauf, Paul
    Krstic, Miroslav
    Basar, Tamer
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) : 1192 - 1207