Title : 
Leader-follower strategies for continuous singular bilinear system
         
        
            Author : 
Zhu, Huainian ; Zhi, Jinghan ; Zhang, Chengke ; Bin, Ning ; Sun, Peihong
         
        
            Author_Institution : 
Sch. of Manage. Guangdong, Univ. of Technol., Guangzhou, China
         
        
        
        
        
            Abstract : 
In this paper, we investigate the leader-follower game for continuous singular bilinear system control problem in the infinite time, conditions for the existence of leader-follower strategies are given, and the leader-follower strategies are derived. In the end, the simulation of a numerical example is presented.
         
        
            Keywords : 
bilinear systems; game theory; numerical analysis; continuous singular bilinear system control; leader follower game; numerical example; Biological system modeling; Games; Lead; Nonlinear systems; Optimal control; Optimization; Riccati equation; game theory; leader-follower strategies; singular bilinear system;
         
        
        
        
            Conference_Titel : 
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
         
        
            Conference_Location : 
Jinan
         
        
            Print_ISBN : 
978-1-4244-6712-9
         
        
        
            DOI : 
10.1109/WCICA.2010.5554912