Dominant pole analysis of neutral-type time delay positive systems

2017 ◽  
Author(s):  
Yoshio Ebihara
Keyword(s):  
Time Delay ◽  
Neutral Type ◽  
Positive Systems ◽  
Dominant Pole ◽  
Pole Analysis

Dominant pole analysis of stable time-delay positive systems

2014 ◽  
Vol 8 (17) ◽  
pp. 1963-1971 ◽  
Author(s):  
Yoshio Ebihara ◽  
Denis Arzelier ◽  
Frédéric Gouaisbaut ◽  
Dimitri Peaucelle
Keyword(s):  
Time Delay ◽  
Positive Systems ◽  
Dominant Pole ◽  
Pole Analysis

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.

Neutral-Type Time-Delay Systems: Theoretical Background

2015 ◽  
pp. 57-82
Author(s):  
Martha Belem Saldivar Márquez ◽  
Islam Boussaada ◽  
Hugues Mounier ◽  
Silviu-Iulian Niculescu
Keyword(s):  
Time Delay ◽  
Neutral Type ◽  
Theoretical Background ◽  
Delay Systems ◽  
Time Delay Systems
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