Delay-dependent passive control of stochastic differential system with time delay

2010 ◽  
Author(s):  
Hongliang Liu ◽  
Guangren Duan ◽  
Liying Fan
Keyword(s):  
Time Delay ◽  
Differential System ◽  
Passive Control ◽  
Delay Dependent ◽  
System With Time Delay

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.

scholarly journals DIFFERENCE-DIFFERENCIAL GAME OF APPROACH AND EVASION IN HILBERT SPACE, I

2017 ◽  
Vol 19 (3) ◽  
pp. 33-41
Author(s):  
V.L. Pasikov
Keyword(s):  
Hilbert Space ◽  
Time Delay ◽  
Saddle Point ◽  
Differential System ◽  
Space Norm ◽  
The Right ◽  
Set Game ◽  
System With Time Delay

In this paper the dynamic guidance-to-the-functional set game for conflict controlled differential system with time delay is studied. Fulfillment of conditions of saddle point relative to the right side of the system is not supposed to be. The proof is based on Hilbert space norm.

Active Absorption of Viscously Damped System With Time Delay

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Yitshak M. Ram ◽  
Kumar Vikram Singh
Keyword(s):  
Time Delay ◽  
Passive Control ◽  
Degree Of Freedom ◽  
Sufficient Condition ◽  
Total Absorption ◽  
Necessary And Sufficient Condition ◽  
Controlled System ◽  
Damped System ◽  
Necessary And Sufficient ◽  
System With Time Delay

In general, it is not possible to obtain total motion absorption of a certain degree of freedom in a harmonically excited damped system by passive control. This paper presents a method of obtaining total absorption in viscously damped system by active control, including time delay, which is unavoidable in digital controlled system. The control is applied on one degree of freedom and the absorption is achieved at another point. This study is carried out by both complex and real analyses. The necessary and sufficient condition for obtaining total absorption is given. Examples demonstrate the various results.

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