A refined discretized timer-dependent Lyapunov functional for impulsive delay systems

Automatica ◽  
2021 ◽  
Vol 134 ◽  
pp. 109929
Author(s):  
Wu-Hua Chen ◽  
Kexin Zhang ◽  
Xiaomei Lu
Keyword(s):  
Lyapunov Functional ◽  
Delay Systems ◽  
Impulsive Delay

scholarly journals Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function

2013 ◽  
Vol 313-314 ◽  
pp. 1288-1292
Author(s):  
Jian Fei Sun ◽  
Xiao Li Wang ◽  
Chen Chen
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Comparison Theorem ◽  
Lyapunov Stability ◽  
Lyapunov Functional ◽  
Delay Systems ◽  
The Matrix

Bythe method of unioning thematrix-valued Lyapunov functional and comparison theorem,delay big system’sconnected Lyapunov stability is studied deeply.A series of new sufficientconditions are proposed.These results have not only theory meaning but alsopractical value.

Input/output‐to‐state stability of nonlinear impulsive delay systems based on a new impulsive inequality

2019 ◽  
Vol 29 (17) ◽  
pp. 6164-6178 ◽  
Author(s):  
Bangxin Jiang ◽  
Jianquan Lu ◽  
Xiaodi Li ◽  
Jianlong Qiu
Keyword(s):  
Delay Systems ◽  
Input Output ◽  
Impulsive Delay
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