Stabilization of Time Delayed Stochastic Jump Discontinuous Systems Driven by Poisson Noise

In this paper, stabilizing control function is designed for nonlinear strict-feedback stochastic systems influenced by time delay and random jump discontinuous process in the form of Poisson noise. The backstepping method is employed to design the control which globally asymptotically stabilizes the system at the origin in probability. A numerical example is illustrated to prove the proposed theoretical results.