scholarly journals Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems

2011 ◽  
Vol 56 (7) ◽  
pp. 1660-1665 ◽  
Author(s):  
Corentin Briat
Keyword(s):  
Time Delay ◽  
Jensen’S Inequality ◽  
Data Systems ◽  
Sampled Data ◽  
Jensen's Inequality

New insights on stability of sampled-data systems with time-delay

2020 ◽  
Vol 374 ◽  
pp. 125041 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Zheng-Liang Zhai ◽  
Yong He ◽  
Kok-Lay Teo ◽  
Wei Wang
Keyword(s):  
Time Delay ◽  
Data Systems ◽  
Sampled Data

scholarly journals Stabilization of Linear Sampled-Data Systems by a Time-Delay Feedback Control

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
F. Ricardo García ◽  
Baltazar Aguirre ◽  
Rodolfo Suárez
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Sufficient Conditions ◽  
Sampling Period ◽  
Fixed Time ◽  
Feedback Gain ◽  
Data Systems ◽  
Sampled Data ◽  
Sampled Signal ◽  
Time Invariant

We consider one-dimensional, time-invariant sampled-data linear systems with constant feedback gain, an arbitrary fixed time delay, which is a multiple of the sampling period and a zero-order hold for reconstructing the sampled signal of the system in the feedback control. We obtain sufficient conditions on the coefficients of the characteristic polynomial associated with the system. We get these conditions by finding both lower and upper bounds on the coefficients. These conditions let us give both an estimation of the maximum value of the sampling period and an interval on the controller gain that guarantees the stabilization of the system.

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