Input-to-state stability analysis of impulsive stochastic neural networks based on average impulsive interval

F Yao, J Cao, L Qiu, P Cheng - 2015 34th Chinese Control …, 2015 - ieeexplore.ieee.org
F Yao, J Cao, L Qiu, P Cheng
2015 34th Chinese Control Conference (CCC), 2015ieeexplore.ieee.org
This paper addresses the input-to-state stability (ISS) properties, including pth moment ISS
(p-ISS) and stochastic ISS (SISS) for a class of impulsive stochastic neural networks with
external inputs. Employing Lyapunov functions and stochastic analysis techniques, sufficient
conditions in forms of linear matrix inequalities for the p-ISS and SISS are established based
on the average impulsive interval concept. Moreover, a criterion on the pth moment globally
asymptotic stability and globally asymptotic stability in probability is derived as a corollary …
This paper addresses the input-to-state stability (ISS) properties, including pth moment ISS (p-ISS) and stochastic ISS (SISS) for a class of impulsive stochastic neural networks with external inputs. Employing Lyapunov functions and stochastic analysis techniques, sufficient conditions in forms of linear matrix inequalities for the p-ISS and SISS are established based on the average impulsive interval concept. Moreover, a criterion on the pth moment globally asymptotic stability and globally asymptotic stability in probability is derived as a corollary. Finally, an example is provided to illustrate the effectiveness of the obtained results.
ieeexplore.ieee.org
以上显示的是最相近的搜索结果。 查看全部搜索结果