A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations

2011 ◽  
Vol 31 (5) ◽  
pp. 1813-1822
Author(s):  
Niu Yuanling ◽  
Zhang Chengjian ◽  
Duan Jinqiao
Keyword(s):  
Differential Equations ◽  
Stability Criterion ◽  
Stochastic Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Tiejun Li ◽  
Junkang Tian
Keyword(s):  
Stability Criterion ◽  
Convex Polyhedron ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Polyhedron Method ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

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