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Abstract
A new concept of stabilisation of hybrid stochastic systems in distribution by feedback controls based on discretetime state observations is initialised. This is to design a controller to stabilise the unstable system such that the distribution of the solution process tends to a probability distribution. In addition, the discretetime state observations are also taken into consideration to make the design of the controller more practical. Theorems on the stabilisation of hybrid stochastic systems in distribution are proved. The lower bound of the duration between two consecutive state observations is obtained. The implementation of theorems are demonstrated by designing the feedback controls in the structure cases and easytorules are provided for the user. Numerical examples are discussed to illustrate the theoretical results.
Original language  English 

Number of pages  11 
Journal  Automatica 
Publication status  Accepted/In press  12 Jan 2022 
Keywords
 Brownian motion
 Markov chain
 stability in distribution
 feedback control
 discretetime state observation
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Dive into the research topics of 'Stabilization in distribution of hybrid stochastic differential equations by feedback control based on discretetime state observations'. Together they form a unique fingerprint.Projects
 2 Finished

Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
16/03/17 → 15/06/20
Project: Research Fellowship

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