Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems

2021 ◽  
Vol 411 ◽  
pp. 126503
Author(s):  
Fuqi Zheng ◽  
Jian Liu ◽  
Ticao Jiao ◽  
Cunshan Zhang ◽  
Jianrong Zhao ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Positive Systems ◽  
Hybrid Switching

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.

Stability analysis and L1-gain characterization for impulsive positive systems with time-varying delay

2020 ◽  
Vol 357 (13) ◽  
pp. 8703-8725
Author(s):  
Baolong Zhu ◽  
Min Li ◽  
Mingliang Suo ◽  
Liangming Chen ◽  
Zhiguo Yan
Keyword(s):  
Stability Analysis ◽  
Time Varying ◽  
Positive Systems ◽  
Time Varying Delay ◽  
Varying Delay
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