Improved reachable set estimation for positive systems: A polyhedral approach

Automatica ◽  
2021 ◽  
Vol 124 ◽  
pp. 109167
Author(s):  
Jun Shen ◽  
James Lam
Keyword(s):  
Reachable Set ◽  
Positive Systems ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Polyhedral Approach

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.

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 switched positive systems

2018 ◽  
Vol 49 (11) ◽  
pp. 2341-2352 ◽  
Author(s):  
Yong Chen ◽  
James Lam ◽  
Jun Shen ◽  
Baozhu Du ◽  
Panshuo Li
Keyword(s):  
Reachable Set ◽  
Positive Systems ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Switched Positive Systems
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