Reachable set estimation for switched nonlinear positive systems with impulse and time delay

2020 ◽  
Vol 30 (8) ◽  
pp. 3332-3343
Author(s):  
Jie Zhang ◽  
Yuangong Sun
Keyword(s):  
Time Delay ◽  
Reachable Set ◽  
Positive Systems ◽  
Set Estimation ◽  
Reachable Set Estimation

scholarly journals Reachable Set Estimation for a Class of Nonlinear Time-Varying Systems

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Yuangong Sun ◽  
Fanwei Meng
Keyword(s):  
Decay Rate ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Reachable Set ◽  
Time Varying ◽  
Positive Systems ◽  
Numerical Example ◽  
Set Estimation ◽  
Time Varying Systems ◽  
Reachable Set Estimation

This paper studies the problem of reachable set estimation for a class of nonlinear time-varying systems with disturbances. New necessary and (or) sufficient conditions are derived for the existence of a ball such that all the solutions of the system converge asymptotically within it. Explicit estimation on the decay rate is also presented. The method used in this paper is motivated by that for positive systems, which is different from the conventional Lyapunov-Krasovskii functional method. A numerical example is given to illustrate the effectiveness of the obtained result.

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

Reachable Set Estimation and Synthesis for Periodic Positive Systems

2019 ◽  
pp. 1-22 ◽  
Author(s):  
Yong Chen ◽  
James Lam ◽  
Yukang Cui ◽  
Jun Shen ◽  
Ka-Wai Kwok
Keyword(s):  
Reachable Set ◽  
Positive Systems ◽  
Set Estimation ◽  
Reachable Set Estimation

Reachable set estimation for uncertain nonlinear systems with time delay

2020 ◽  
Vol 41 (5) ◽  
pp. 1644-1656
Author(s):  
Zhihao Zhang ◽  
Xinsheng Wang ◽  
Wenbo Xie ◽  
Yi Shen
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Reachable Set ◽  
Uncertain Nonlinear Systems ◽  
Set Estimation ◽  
Reachable Set Estimation

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 ◽  
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