scholarly journals Robust guaranteed cost control for uncertain stochastic systems with multiple decision makers

Automatica ◽  
2009 ◽  
Vol 45 (7) ◽  
pp. 1758-1764 ◽  
Author(s):  
Hiroaki Mukaidani
Author(s):  
J Qiu ◽  
H He ◽  
P Shi

In this paper, the problem of guaranteed cost control for stochastic systems is considered. The system is non-linear, and the delays are distributed. Based on Lyapunov stability theory combined with the linear matrix inequality (LMI) technique, delay-dependent stability and stabilization conditions are proposed. Furthermore, sufficient conditions for the existence of guaranteed cost controllers are derived. Finally, a numerical example is used to illustrate the effectiveness and feasibility of the approaches proposed in this paper.


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