| 摘要: |
| In recent years, the cross discipline of game theory and the control theory has been emerging. This paperwill survey this newly
growing direction. First, the development from optimization of control systems to games consisting of multi-purpose controls is
introduced, which demonstrates the close relationship between control theory and game theory. Secondly, the control-oriented
game is considered. Three kinds of problems are discussed in details: i) Learning strategy in game theory, which is basically the
same as the adaptive control; ii) state space approach for control systems is applied to evolutionary games; and iii)machine-human
game is treated as the optimal control problem. Finally, after introducing some new results on potential games, the game-based
control is studied. Three kind of control problems using potential games are investigated: i) The consensus of multi-agent systems
is considered; ii) the maximization of the distributed coverage of multi-agents on a graph is discussed; and iii) the congestion
control is investigated using congestion game technology. Some other game-based control problems are also briefly introduced.
A prediction for the control systems in next generation is presented in conclusion. |
| 关键词: Control-oriented game, game-based control, evolutionary game, potential game, logical-Newtonian control
system |
| DOI： |
| Received:August 13, 2015Revised:September 14, 2015 |
| 基金项目: |
|
| A survey on cross-discipline of control and game |
| D. Cheng,T. Liu |
| (Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science，Chinese Academy of Sciences) |
| Abstract: |
| In recent years, the cross discipline of game theory and the control theory has been emerging. This paperwill survey this newly
growing direction. First, the development from optimization of control systems to games consisting of multi-purpose controls is
introduced, which demonstrates the close relationship between control theory and game theory. Secondly, the control-oriented
game is considered. Three kinds of problems are discussed in details: i) Learning strategy in game theory, which is basically the
same as the adaptive control; ii) state space approach for control systems is applied to evolutionary games; and iii)machine-human
game is treated as the optimal control problem. Finally, after introducing some new results on potential games, the game-based
control is studied. Three kind of control problems using potential games are investigated: i) The consensus of multi-agent systems
is considered; ii) the maximization of the distributed coverage of multi-agents on a graph is discussed; and iii) the congestion
control is investigated using congestion game technology. Some other game-based control problems are also briefly introduced.
A prediction for the control systems in next generation is presented in conclusion. |
| Key words: Control-oriented game, game-based control, evolutionary game, potential game, logical-Newtonian control
system |
