A NEW LMI CONDITION FOR DELAY-DEPENDENT ROBUST STABILITY OF STOCHASTIC TIME-DELAY SYSTEMS

2008 ◽  
Vol 7 (4) ◽  
pp. 419-423 ◽  
Author(s):  
Shengyuan Xu ◽  
James Lam ◽  
Xuerong Mao ◽  
Yun Zou
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Stochastic Time

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

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.

New delay-dependent filter design for stochastic time-delay systems

2009 ◽  
Vol 89 (6) ◽  
pp. 974-980 ◽  
Author(s):  
Yun Chen ◽  
Anke Xue ◽  
Shaosheng Zhou
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Stochastic Time

Delay-dependent L 2 – L ∞ filtering for fuzzy neutral stochastic time-delay systems

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

Passive Control for Uncertain Stochastic Time-Delay Systems

2011 ◽  
Vol 58-60 ◽  
pp. 691-696
Author(s):  
Cheng Wang ◽  
Huan Bin Liu
Keyword(s):  
Time Delay ◽  
Passive Control ◽  
Stochastic Systems ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
And Control ◽  
Stochastic Time

This paper investigates the problems of delay-dependent passive analysis and control for uncertain stochastic systems with time-varying delay and norm-bounded parameters uncertainties. Delay-dependent stochastic passive condition for the uncertain stochastic time-delay systems is obtained based on Laypunov-Krasovkii functional approach. On the basis of this condition, a delay-dependent passive controller is presented. Sufficient condition for the existence of desired controller is formulated in terms of linear matrix inequality. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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