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Stabilization for hybrid stochastic differential equations driven by Lévy noise via periodically intermittent control

  • * Corresponding author: Yong Ren

    * Corresponding author: Yong Ren 

This work is supported by the NNSF of China (11871076)

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  • In this work, the issue of stabilization for a class of continuous-time hybrid stochastic systems with Lévy noise (HLSDEs, in short) is explored by using periodic intermittent control. As for the unstable HLSDEs, we design a periodic intermittent controller. The main idea is to compare the controlled system with a stabilized one with a periodic intermittent drift coefficient, which enables us to use the existing stability results on the HLSDEs. An illustrative example is proposed to show the feasibility of the obtained result.

    Mathematics Subject Classification: Primary: 93D15; Secondary: 60H10, 60J75.


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  • Figure 1.  The paths of the solution $ Y(s) $ to the system (39) for state 1

    Figure 2.  The paths of the solution $ Y(s) $ to the system (40) for state 1

    Figure 3.  The paths of the solution $ Y(s) $ to the system (39) for state 2

    Figure 4.  The paths of the solution $ Y(s) $ to the system (40) for state 2

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