Quadratic stability and stabilization of discrete-time switched systems with state delay

2004 ◽  
Author(s):  
Guangming Xie ◽  
Long Wang
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
State Delay ◽  
Quadratic Stability ◽  
Stability And Stabilization

scholarly journals Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Xiushan Jiang ◽  
Xuemin Tian ◽  
Weihai Zhang
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Feedback Controllers ◽  
State Delay ◽  
Quadratic Stability ◽  
Stability And Stabilization ◽  
The Stability ◽  
Theoretical Results

This paper mainly discusses the robust quadratic stability and stabilization of linear discrete-time stochastic systems with state delay and uncertain parameters. By means of the linear matrix inequality (LMI) method, a sufficient condition is, respectively, obtained for the stability and stabilizability of the considered system. Moreover, we design the robust H∞ state feedback controllers such that the system with admissible uncertainties is not only quadratically internally stable but also robust H∞ controllable. A sufficient condition for the existence of the desired robust H∞ controller is obtained. Finally, an example with simulations is given to verify the effectiveness of our theoretical results.

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