Title :
Multi-agent competitive control systems
Author :
Zhang, Zhenning ; Cheng, Daizhan
Author_Institution :
Key Lab. of Syst. & Control, Inst. of Syst. Sci., Beijing, China
Abstract :
In this paper, we consider the multi-agent competitive control systems with varying adjacent topology. The dynamics and the performance of each agent of the multi-agent system depend on both itself and its neighborhood. The optimal solutions are the Nash equilibriums, which are determined by coupled Hamilton-Jacobi-Bellman equations. We mainly concern with continuous-time affine nonlinear systems and linear systems. Finally, a two-agent linear control system is used to illustrate our results, where the two agents are related through a periodic switching.
Keywords :
continuous time systems; game theory; multi-agent systems; nonlinear control systems; periodic control; time-varying systems; Nash equilibriums; continuous-time affine nonlinear systems; coupled Hamilton-Jacobi-Gellman equations; multi-agent competitive control systems; periodic switching; two-agent linear control system; varying adjacent topology; Bismuth; Equations; Games; Mathematical model; Nash equilibrium; Optimal control; Hamilton-Jacobi-Bellman equation; Nash equilibrium; competitive control system; multi-agent;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358251
