Stabilization and synchronization of chaotic systems with mixed time-varying delays via intermittent control with non-fixed both control period and control width

Stabilization and synchronization of chaotic systems with mixed time-varying delays via intermittent control with non-fixed both control period and control width
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通过具有非固定控制周期和控制宽度的间歇控制实现具有混合时变延迟的混沌系统的稳定和同步

DOI:
10.1016/j.neucom.2014.12.019
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发表时间:
2015-04
期刊:
影响因子:
6
通讯作者:
张继业
张继业
中科院分区:
计算机科学2区
文献类型:
--
作者:
张继业

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本文研究了一类同时具有离散时滞和分布时滞的混沌系统,在不假定时滞可微的前提下,通过控制周期和控制宽度都不固定的间歇控制,研究了所考虑混沌系统的镇定与同步问题。利用Lyapunov-Krasovskii泛函和矩阵不等式技巧,给出了所考虑的混沌系统镇定和同步的时滞相关判据。所得结果推广了固定控制周期和控制宽度的周期间歇控制时滞混沌系统镇定与同步的结果。最后给出了仿真算例,验证了所得结果的有效性。
In this paper, a class of chaotic systems with both discrete and distributed time-varying delays are considered without assuming the differentiability of the time-varying delays, the stabilization and synchronization for the considered chaotic systems are investigated via intermittent control with non-fixed both control period and control width. Several delay-dependent criteria for checking the stabilization and synchronization for the considered chaotic systems are presented by employing Lyapunov–Krasovskii functional and using the matrix inequality techniques. The obtained results extend ones on stabilization and synchronization of delayed chaotic systems by periodically intermittent control with both fixed control period and control width. An example with simulations is given to show the effectiveness of the obtained results.
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