Improved stability theorems of random nonlinear time delay systems and their application

This paper focuses on stability theorems of random nonlinear time delay systems and their application. On the one hand, some noise-to-state practical stability theorems are improved for random nonlinear systems with time delay in this paper. Compared with the existing stability theorems, some strict constraints have been removed and the existing stability theorems can be viewed as special cases of the new established stability theorems in this paper. On the other hand, the state feedback tracking control problem is investigated to show the applicability of improved stability theorems in this paper. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper focuses on stability theorems of random nonlinear time delay systems and their application. On one hand, some noise-to-state practical stability theorems are improved for random nonlinear systems with time delay in this paper. On the other hand, the state feedback tracking control problem is investigated to show the applicability of improved stability theorems in this paper.