Article ; Online: Finite-Time Stability of Nonlinear Impulsive Systems With Applications to Neural Networks.
IEEE transactions on neural networks and learning systems
2023 Volume 34, Issue 1, Page(s) 243–251
Abstract: This article studies the problem of finite-time stability (FTS) and finite-time contractive stability (FTCS) for nonlinear impulsive systems, where the possibility of time delay in impulses is fully considered. Some sufficient conditions for FTS/FTCS are ...
Abstract | This article studies the problem of finite-time stability (FTS) and finite-time contractive stability (FTCS) for nonlinear impulsive systems, where the possibility of time delay in impulses is fully considered. Some sufficient conditions for FTS/FTCS are constructed in the framework of Lyapunov function methods. A relationship between impulsive frequency and the time delay existing in impulses is established to reveal FTS/FTCS performance. As an application, we apply the theoretical results to finite-time state estimation of neural networks, including time-varying neural networks and switched neural networks. Finally, two illustrated examples are given to show the effectiveness and distinctiveness of the proposed delay-dependent impulsive schemes. |
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Language | English |
Publishing date | 2023-01-05 |
Publishing country | United States |
Document type | Journal Article |
ISSN | 2162-2388 |
ISSN (online) | 2162-2388 |
DOI | 10.1109/TNNLS.2021.3093418 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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