Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties

2008 ◽  
Vol 18 (15) ◽  
pp. 1482-1492 ◽  
Author(s):  
Hongyi Li ◽  
Bing Chen ◽  
Qi Zhou ◽  
Chong Lin
2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.


2009 ◽  
Vol 89 (6) ◽  
pp. 974-980 ◽  
Author(s):  
Yun Chen ◽  
Anke Xue ◽  
Shaosheng Zhou

2017 ◽  
Vol 137 ◽  
pp. 98-108 ◽  
Author(s):  
Mingang Hua ◽  
Fengqi Yao ◽  
Pei Cheng ◽  
Juntao Fei ◽  
Jianjun Ni

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