一类延迟网络的有限时间多稳定性

Shu Yi, Jigui Jian
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引用次数: 0

摘要

在一些简单的条件下,通过只考虑网络部分变量的有限有界性,导出了网络所有变量的有限有界性。首先,利用一些不等式技术和Lyapunov方法,导出了保证所讨论的延迟网络的所有状态变量的有限时间有界性的一些与延迟无关的充分准则。其次,给出了系统部分状态的有限时间有界性和其他部分状态的有限时间稳定性的新的时滞无关判据。最后通过一个算例说明了所得结果的有效性和实用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Finite-time polystability of a class of delayed networks
Under some simple conditions, the finite-time boundedness of a network about its all variables is derived by only considering the finite-time boundedness of its partial variables. First, based on some inequality techniques and employing the Lyapunov method, some delay-independent sufficient criteria are derived to ensuring the finite-time boundedness of all state variables of the discussed delay networks. Secondly, a new delay-independent criterion of finite-time boundedness for a part states and finite-time stability for the other part states of the discussed system is also given. Finally, one numerical example is given to show the effectiveness and usefulness of the results.
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