Stabilization of Stochastic Highly Nonlinear Delay Systems With Neutral Term

In this article, stochastic highly nonlinear delay systems with neutral term are studied, which does not satisfy the linear growth condition. Under the local Lipschtiz condition and the polynomial growth condition, we study the existence and uniqueness, as well as boundedness, of global solution for stochastic highly nonlinear delay systems with neutral term. By designing a discrete-time feedback control function, the stabilization of stochastic highly nonlinear delay systems with neutral term is presented. Different from the previous literature, our discrete-time feedback control function depends on Markov switching signals with a delay. An illustrative example is given to show the effectiveness of the obtained results.

Automated summary

In this article, we study stochastic highly nonlinear delay systems with neutral term, which do not satisfy the linear growth condition. Under the local Lipschitz condition and the polynomial growth condition, we investigate the existence, uniqueness, and boundedness of global solutions for these systems. We present a discrete-time feedback control function that depends on Markov switching signals with a delay to stabilize the systems. An illustrative example is provided to demonstrate the effectiveness of the obtained results.