Absolute exponential stability criteria for a class of nonlinear time-delay systems

2010 ◽  
Vol 11 (3) ◽  
pp. 1963-1976 ◽  
Author(s):  
Baoyong Zhang ◽  
James Lam ◽  
Shengyuan Xu ◽  
Zhan Shu
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability Criteria

scholarly journals Stabilization of a Class of Stochastic Systems with Time Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Jian Wang ◽  
Cuixia Li
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Time Delays ◽  
Stochastic Systems ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Decomposition Technique ◽  
Stability Criteria ◽  
Stochastic Time

The problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. Finally, a numerical example is given to illustrate the effectiveness and the benefit of the proposed method.

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.

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