Domain of attraction and guaranteed cost control for non-linear quadratic systems. Part 1. Analysis

2012 ◽  
Vol 6 (17) ◽  
pp. 2611-2618 ◽  
Author(s):  
F. Amato ◽  
M. Ariola ◽  
A. Merola ◽  
R. Ambrosino
Keyword(s):  
Cost Control ◽  
Domain Of Attraction ◽  
Guaranteed Cost Control ◽  
Linear Quadratic ◽  
Quadratic Systems ◽  
Guaranteed Cost ◽  
Non Linear

Delay-dependent guaranteed cost control for a non-linear stochastic system with distributed delays

2009 ◽  
Vol 223 (6) ◽  
pp. 763-772 ◽  
Author(s):  
J Qiu ◽  
H He ◽  
P Shi
Keyword(s):  
Stochastic Systems ◽  
Cost Control ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Guaranteed Cost ◽  
Non Linear ◽  
Delay Dependent ◽  
Delay Dependent Stability

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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