Hierarchical Decision Problems for Non-Affine Multi-Player Systems

Danyu Lin1; Shan Xue2; Derong Liu3; Bo Zhao4

10.1109/RCAR58764.2023.10249994

2023

979-8-3503-2719-9

2023 IEEE International Conference on Real-time Computing and Robotics (RCAR)

212-217

17-20 July 2023

Datong, China

Adaptive dynamic programming is used in this paper to solve the hierarchical decision problem for non-affine multi-player systems. A new affine system is formed by adding control dynamics to the original system. To solve the hierarchical decision problem of the original system, we modeled it as a Stackelberg game in the new system. Adaptive dynamic programming is used to approximate the value functions. The stability of the system is analyzed according to Lyapunov theory, which leads to the conclusion that both the system states and the weight errors are uniformly ultimately bounded. Finally, matlab simulation is used to verify the conclusion.

Adaptive dynamic programming Stackelberg game non-affine system neural networks

其他

EI

20234214881125

Hierarchical systems ; MATLAB ; System stability

Computer Applications:723.5 ; Mathematics:921 ; Optimization Techniques:921.5 ; Systems Science:961

IEEE

1.School of Automation, Guangdong University of Technology, Guangzhou, China
2.School of Computer Science and Engineering, South China University of Technology, Guangzhou, China
3.School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China
4.School of Systems Science, Beijing Normal University, Beijing, China

Danyu Lin,Shan Xue,Derong Liu,et al. Hierarchical Decision Problems for Non-Affine Multi-Player Systems[C],2023:212-217.