Relaxed results on reachable set estimation of time-delay systems with bounded peak inputs

2015 ◽  
Vol 26 (9) ◽  
pp. 1994-2007 ◽  
Author(s):  
Baoyong Zhang ◽  
James Lam ◽  
Shengyuan Xu
Keyword(s):  
Time Delay ◽  
Reachable Set ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Estimation Of Time

New insight into reachable set estimation for uncertain singular time-delay systems

2018 ◽  
Vol 320 ◽  
pp. 769-780 ◽  
Author(s):  
Guobao Liu ◽  
Shengyuan Xu ◽  
Yunliang Wei ◽  
Zhidong Qi ◽  
Zhengqiang Zhang
Keyword(s):  
Time Delay ◽  
Reachable Set ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Singular Time ◽  
Insight Into

scholarly journals Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Xingao Zhu ◽  
Yuangong Sun
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Reachable Set ◽  
Delay Systems ◽  
Sufficient Condition ◽  
Time Delay Systems ◽  
Positive Systems ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

Reachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied. By the usage of a new method for stability analysis of positive systems, an explicit necessary and sufficient condition is first derived to guarantee that all the states of positive homogeneous time-delay systems with degree p>1 converge asymptotically within a specific ball. Furthermore, the main result is extended to a class of nonlinear time variant systems. A numerical example is given to demonstrate the effectiveness of the obtained results.

Zonotopic reachable set estimation for linear discrete‐time systems with time delay

2020 ◽  
Vol 30 (14) ◽  
pp. 5542-5558 ◽  
Author(s):  
Zhihao Zhang ◽  
Zhenhua Wang ◽  
Wentao Tang ◽  
Zhiguang Feng ◽  
Yi Shen
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Reachable Set ◽  
Set Estimation ◽  
Discrete Time Systems ◽  
Reachable Set Estimation ◽  
Time Systems
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