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Stabilization of Stochastic Highly Nonlinear Delay Systems With Neutral Term

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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… Click to show full abstract

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.

Keywords: systems neutral; nonlinear delay; stochastic highly; highly nonlinear; delay systems; neutral term

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2023

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