Local stability and local stabilization of discrete-time T–S fuzzy systems with time-delay

2016 ◽  
Vol 14 (1) ◽  
pp. 29-38 ◽  
Author(s):  
Donghwan Lee ◽  
Young Hoon Joo ◽  
In-Ho Ra
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Local Stability

scholarly journals Stability and Andronov-Hopf Bifurcation of a System with Three Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Svetoslav Nikolov
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Discrete Time ◽  
Local Stability ◽  
Time Delays ◽  
General System ◽  
System Modelling ◽  
Mirna Regulation ◽  
Bifurcation Theorem ◽  
Limit Cycle Bifurcation

A general system of three autonomous ordinary differential equations with three discrete time delays is considered. With respect to the delays, we investigate the local stability of equilibria by analyzing the corresponding characteristic equation. Using the Hopf bifurcation theorem, we predict the occurrence of a limit cycle bifurcation for the time delay parameters. Thus, some new mathematical results are obtained. Finally, the above mentioned criteria are applied to a system modelling miRNA regulation.

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