Stability analysis of stochastic differential equations with the use of Lyapunov functions of constant sign

2011 ◽  
Vol 47 (9) ◽  
pp. 1271-1280 ◽  
Author(s):  
A. A. Levakov
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Lyapunov Functions ◽  
Constant Sign

scholarly journals Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

1996 ◽  
Vol 19 (3) ◽  
pp. 435-440
Author(s):  
Olusola Akinyele
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Lyapunov Functions ◽  
Practical Stability ◽  
Lipschitz Stability ◽  
Comparison Result ◽  
Systems Of Differential Equations ◽  
New Concepts ◽  
Perturbed Systems

We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts ofϕ0-uniform Lipschitz stability and(λ,λ,ϕ0)-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems. Our results are also applicable to nonlinear perturbed systems.

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