Stabilisation of stochastic systems driven by Poisson process

K. Mathiyalagan and T. Elizabeth Jeyanthi

International Journal of Systems Science, 2025, vol. 56, issue 15, 3603-3617

Abstract: This paper investigates control design for a class of strict-feedback nonlinear continuous-time stochastic differential system (SDS) driven by the Poisson process. The method of backstepping is employed in designing the stabilising control function together with the Lyapunov stability theory. The control function guarantees global asymptotic stability at the origin in probability. Further, fourth-moment exponential stability conditions for the system are derived and the proposed results are validated by a numerical example along with its application to a physical system.

Date: 2025
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DOI: 10.1080/00207721.2025.2473481

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