On the Open-Loop Nash Equilibrium in LQ-Game with N-Players

摘要：

In this paper, the problem of open-loop Nash equilibria of the linear-quadratic (LQ) differential game with N-players is considered. Both necessary and sufficient conditions for existence of a unique solution for the finite-planning horizon case as well as the infinite-planning horizon case are presented. An algorithm is presented to calculate all equilibrium of the infinite horizon case. In particular, the convergence aspects of the finite-planning horizon solution are considered.

作者: Xiaohong Nian Wenyan Tang

作者单位: School of Information Science & Engineering Central South University Changsha, 410075, P. R. China

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）