scholarly journals Model reduction for nonlinear systems and nonlinear time-delay systems from input/output data

2015 ◽  
Author(s):  
Giordano Scarciotti ◽  
Alessandro Astolfi
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Model Reduction ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Input Output ◽  
Output Data

Stable Model Reduction for Time Delay Systems

2007 ◽  
Vol 40 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Qing-Guo Wang ◽  
Xue-Ping Yang ◽  
Min Liu ◽  
Zhen Ye ◽  
Xiang Lu
Keyword(s):  
Time Delay ◽  
Model Reduction ◽  
Delay Systems ◽  
Stable Model ◽  
Time Delay Systems

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.

Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems

2020 ◽  
Vol 357 (17) ◽  
pp. 12670-12699
Author(s):  
Hui Wang ◽  
Huiling Xu ◽  
Xiaokai Zhai ◽  
Xuefeng Chen ◽  
Zhiping Lin
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Asymptotic Stability ◽  
Model Reduction ◽  
Delay Systems ◽  
Time Delay Systems

Linearisation via input–output injection of time delay systems

2015 ◽  
Vol 89 (6) ◽  
pp. 1125-1136 ◽  
Author(s):  
Eduardo García–Ramírez ◽  
Claude H. Moog ◽  
Claudia Califano ◽  
Luis Alejandro Márquez–Martínez
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Input Output
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