On exponential stability of contraction semigroups

2011 ◽  
Vol 83 (3) ◽  
pp. 513-521 ◽  
Author(s):  
Carlos S. Kubrusly ◽  
Nhan Levan
Keyword(s):  
Exponential Stability ◽  
Contraction Semigroups

Exponential stability of impulsive systems with random delays under sampled-data control

2017 ◽  
Vol 11 (16) ◽  
pp. 2834-2847 ◽  
Author(s):  
Kuppusamy Subramanian ◽  
Palanisamy Muthukumar ◽  
Quanxin Zhu
Keyword(s):  
Exponential Stability ◽  
Sampled Data ◽  
Impulsive Systems ◽  
Random Delays ◽  
Data Control ◽  
Sampled Data Control

scholarly journals Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 988
Author(s):  
Pengju Duan
Keyword(s):  
Brownian Motion ◽  
Lyapunov Function ◽  
Differential Equations ◽  
Exponential Stability ◽  
Stochastic Differential Equations ◽  
Mild Solution ◽  
Intermittent Control

The paper is devoted to studying the exponential stability of a mild solution of stochastic differential equations driven by G-Brownian motion with an aperiodically intermittent control. The aperiodically intermittent control is added into the drift coefficients, when intermittent intervals and coefficients satisfy suitable conditions; by use of the G-Lyapunov function, the p-th exponential stability is obtained. Finally, an example is given to illustrate the availability of the obtained results.

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