Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations

2008 ◽  
Vol 139 (2) ◽  
pp. 277-293 ◽  
Author(s):  
O. M. Kwon ◽  
J. H. Park
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Nonlinear Perturbations ◽  
Interval Time

scholarly journals Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Dehao Ruan ◽  
Yue Liu
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Integral Inequalities ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Generalized Halanay Inequalities ◽  
Generalized Exponential Stability

In this paper, a class of generalized Halanay inequalities is investigated. Under some assumptions, the generalized exponential stability and boundedness are discussed by means of integral inequalities. We do not require the boundedness of the time-varying delays and coefficients. In addition, our results improve some previous works. At last, three examples and simulations are given to illustrate the effectiveness of the main results.

Further Stability Criteria for Time-Delay Systems with Interval Time-Varying Delays

2011 ◽  
Vol 44 (1) ◽  
pp. 3867-3872 ◽  
Author(s):  
M.N. Alpaslan Parlakçi ◽  
İ. Beklan Küçükdemiral
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Stability Criteria ◽  
Interval Time
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