H∞ tracking of uncertain stochastic time-delay systems: Memory state-feedback controller design

2014 ◽  
Vol 249 ◽  
pp. 356-370 ◽  
Author(s):  
Jianwei Xia ◽  
Ju H. Park ◽  
Tae H. Lee ◽  
Baoyong Zhang
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Memory State ◽  
State Feedback Controller ◽  
Memory State Feedback ◽  
Stochastic Time

scholarly journals Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Zhiguo Yan ◽  
Guoshan Zhang ◽  
Xingguang Qi
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Stochastic Systems ◽  
Robust Stabilization ◽  
Feedback Controller ◽  
Matrix Inequalities ◽  
Memory State ◽  
State Feedback Controller ◽  
Nonlinear Uncertainties ◽  
Memory State Feedback

This paper deals with the problem of robust stabilization of stochastic systems with time-delay and nonlinear uncertainties via memory state feedback. Based on Lyapunov krasoviskii functional, some sufficient conditions on local (global) stabilization are given in terms of matrix inequalities. In particular, these stabilizable conditions for a class of nonlinear stochastic time-delay systems are derived in the form of linear matrix inequalities, which have the advantage of easy computation. Moreover, the corresponding results are further extended to the stochastic multiple time-delays systems. Finally, an example is presented to show the superiority of memory state feedback controller to memoryless state feedback controller.

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