scholarly journals A global asymptotic stability condition for a Lotka–Volterra model with indirect interactions

2018 ◽  
Vol 98 (9) ◽  
pp. 1636-1645
Author(s):  
Mircea T. Sofonea
Keyword(s):  
Asymptotic Stability ◽  
Stability Condition ◽  
Global Asymptotic Stability ◽  
Indirect Interactions ◽  
Volterra Model ◽  
Asymptotic Stability Condition

scholarly journals An asymptotic stability condition for inhomogeneous simple shear

1989 ◽  
Vol 47 (2) ◽  
pp. 247-262 ◽  
Author(s):  
H. Tz. Chen ◽  
A. S. Douglas ◽  
R. Malek-Madani
Keyword(s):  
Asymptotic Stability ◽  
Simple Shear ◽  
Stability Condition ◽  
Asymptotic Stability Condition

DELAY-DEPENDENT ASYMPTOTIC STABILITY OF NEURAL NETWORKS WITH TIME-VARYING DELAYS

2008 ◽  
Vol 18 (01) ◽  
pp. 245-250 ◽  
Author(s):  
SHENGYUAN XU ◽  
JAMES LAM ◽  
DANIEL W. C. HO
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Asymptotic Stability ◽  
Stability Condition ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Unique Equilibrium ◽  
Delay Dependent ◽  
Asymptotic Stability Condition

This paper considers the problem of stability analysis for neural networks with time-varying delays. The time-varying delays under consideration are assumed to be bounded but not necessarily differentiable. In terms of a linear matrix inequality, a delay-dependent asymptotic stability condition is developed, which ensures the existence of a unique equilibrium point and its global asymptotic stability. The proposed stability condition is easy to check and less conservative. An example is provided to show the effectiveness of the proposed condition.

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