Almost Sure Exponential Stability of Altafini Model with Multiplicative Noise for Opinion Dynamics

2020 ◽  
Author(s):  
Fanli Yuan ◽  
Ying Cui ◽  
Haili Liang ◽  
Zhao Zhou
Keyword(s):  
Exponential Stability ◽  
Multiplicative Noise ◽  
Opinion Dynamics ◽  
Almost Sure Exponential Stability

scholarly journals On stabilization of partial differential equations by noise

2001 ◽  
Vol 161 ◽  
pp. 155-170 ◽  
Author(s):  
Tomás Caraballo ◽  
Kai Liu ◽  
Xuerong Mao
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exponential Stability ◽  
Stochastic Partial Differential Equations ◽  
Finite Dimension ◽  
Infinite Dimension ◽  
Stability Criteria ◽  
Partial Differential ◽  
Almost Sure Exponential Stability

Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, some stability criteria from Chow [4] and Haussmann [6] are improved and subsequently applied to certain situations, on which the original criteria commonly do not work, to ensure almost sure exponential stability. This paper also extends to infinite dimension some results due to Mao [9] on stabilization of differential equations in finite dimension.

Sign in / Sign up

Export Citation Format

Share Document