Multi-agent competitive control systems

Author

Zhang, Zhenning ; Cheng, Daizhan

Author_Institution

Key Lab. of Syst. & Control, Inst. of Syst. Sci., Beijing, China

fYear

2012

fDate

6-8 July 2012

Firstpage

2263

Lastpage

2267

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358251

Filename

6358251