Projects per year
Abstract
Many systems in the real world are periodic due to periodic phenomena in nature. Periodic hybrid stochastic differential equations are often used to model them. In many situations, it is inappropriate to study whether the solutions of periodic hybrid stochastic differential equations will converge to an equilibrium state (say, 0 or the trivial solution) but more appropriate to discuss whether the probability distributions of the solutions will converge to a stationary distribution, known as stability in distribution. This paper aims to determine whether or not a periodic stochastic state feedback control can make a given nonlinear periodic hybrid differential equation, which is not stable in distribution, to become stable in distribution. We will refer to this problem as stabilisation in distribution by periodic noise. There is little known on this problem so far. This paper initiates the study in this direction.
Original language  English 

Number of pages  13 
Journal  IET Control Theory and Applications 
Publication status  Accepted/In press  15 Oct 2022 
Keywords
 stabilisation
 distribution
 hybrid ordinary differential equations
 periodic noise
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Dive into the research topics of 'Stabilisation in distribution of hybrid ordinary differential equations by periodic noise'. Together they form a unique fingerprint.Projects
 2 Finished

Stochastic Differential Equations: Theory, Numeric and Applications (Saltire Facilitation Award)
1/01/22 → 31/12/23
Project: Knowledge Exchange

Longtime dynamics of numerical solutions of stochastic differential equations
1/10/16 → 30/09/21
Project: Research