Componentwise state bounding of positive time-delay systems with disturbances bounded by a time-varying function

Author(s):  
C. T. Tinh ◽  
D. L. Thuy ◽  
P. T. Nam ◽  
H. M. Trinh
2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Dehao Ruan ◽  
Yue Liu

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.


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