Robust stabilization of time delay systems based on Riccati type operator equation arising in differential games

Author(s):  
Akira Kojima ◽  
Kenko Uchida ◽  
Etsujiro Shimemura
2017 ◽  
Vol 783 ◽  
pp. 012031 ◽  
Author(s):  
Nabil El Fezazi ◽  
Fatima El Haoussi ◽  
El Houssaine Tissir ◽  
Teresa Alvarez ◽  
Fernando Tadeo

1992 ◽  
Vol 114 (4) ◽  
pp. 538-543 ◽  
Author(s):  
Tongwen Chen ◽  
Bruce A. Francis

This paper considers sampled-data control of time-delay systems. First we show that under a certain nonpathological sampling condition, a sampled-data system is internally stable in continuous time if and only if the corresponding discretized system is stable in discrete time. Based on this, we then study two sampled-data design problems for (unstable) time-delay systems: ℋ2-optimal disturbance attenuation and robust stabilization. In both cases, the sampled-data problem can be recast via operator methods as exactly a discrete-time problem and hence be solved using known techniques.


2009 ◽  
Vol 160 (12) ◽  
pp. 1720-1737 ◽  
Author(s):  
Baoyong Zhang ◽  
James Lam ◽  
Shengyuan Xu ◽  
Zhan Shu

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