A note on the stability of linear time-delay systems with impulsive inputs
A note on the stability of linear time-delay systems with impulsive inputs
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DOI：
10.1109/tcsi.2002.807514
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发表时间：
2003-02
影响因子：
5.1
通讯作者：
M. Sen;Ni Luo
中科院分区：
文献类型：
--
作者：
M. Sen;Ni Luo
给出了具有常点时滞的线性时滞系统在脉冲输入下的充分型稳定性结果。脉冲输入的脉冲是随时间独立出现的依赖状态的脉冲。证明了如果无时滞动力学比时滞动力学足够稳定，则可以选择足够大的脉冲幅度和脉冲之间的时间间隔。还可以看到，如果无时滞动态不是指数稳定的，则具有适当幅度和符号的较快输入脉冲可以实现镇定。
This brief derives sufficiency-type stability results for time-delay linear systems with constant point delays under impulsive inputs of impulses of state-dependent amplitudes occurring separately through time. It is proved that the amplitudes of the impulses and the time intervals between impulses may be chosen sufficiently large if the delay-free dynamics is sufficiently stable compared to the delayed one. It is also seen that faster input impulses of appropriate amplitudes and signs may achieve stabilization if the delay-free dynamics is not exponentially stable.