Exponential stability and interval stability of a class of stochastic hybrid systems driven by both Brownian motion and Poisson jumps

2017 ◽  
Vol 487 ◽  
pp. 58-73 ◽  
Author(s):  
Mingmei Sun ◽  
Meng Xu
Keyword(s):  
Brownian Motion ◽  
Exponential Stability ◽  
Hybrid Systems ◽  
Stochastic Hybrid Systems ◽  
Poisson Jumps

Robust Variance-constrained Control of a Class of Stochastic Hybrid Systems

2010 ◽  
Vol 36 (2) ◽  
pp. 337-343
Author(s):  
You-Li WU ◽  
Yang-Wang FANG ◽  
Hong-Qiang WANG ◽  
Wen-Jie LIU
Keyword(s):  
Hybrid Systems ◽  
Constrained Control ◽  
Stochastic Hybrid Systems ◽  
Robust Variance

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.

scholarly journals Modeling protein concentrations in cycling cells using stochastic hybrid systems

2021 ◽  
Vol 54 (9) ◽  
pp. 521-526
Author(s):  
Zahra Vahdat ◽  
Zikai Xu ◽  
Abhyudai Singh
Keyword(s):  
Hybrid Systems ◽  
Stochastic Hybrid Systems

scholarly journals Existence and exponential stability in the pth moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xia Zhou ◽  
Dongpeng Zhou ◽  
Shouming Zhong
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Exponential Stability ◽  
Fractional Brownian Motion ◽  
Mild Solutions ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Fractional Power ◽  
Banach Fixed Point Theorem ◽  
Mixed Fractional Brownian Motion

Abstract This paper consider the existence, uniqueness and exponential stability in the pth moment of mild solution for impulsive neutral stochastic integro-differential equations driven simultaneously by fractional Brownian motion and by standard Brownian motion. Based on semigroup theory, the sufficient conditions to ensure the existence and uniqueness of mild solutions are obtained in terms of fractional power of operators and Banach fixed point theorem. Moreover, the pth moment exponential stability conditions of the equation are obtained by means of an impulsive integral inequality. Finally, an example is presented to illustrate the effectiveness of the obtained results.

Approximate Abstractions of Stochastic Hybrid Systems

2011 ◽  
Vol 56 (11) ◽  
pp. 2688-2694 ◽  
Author(s):  
Alessandro Abate ◽  
Alessandro D'Innocenzo ◽  
Maria D. Di Benedetto
Keyword(s):  
Hybrid Systems ◽  
Stochastic Hybrid Systems
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