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A note on the stability of linear time-delay systems with impulsive inputs
De La Sen, M.; Nigsu Luo;
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Volume 50,
Issue 1,
Jan. 2003
Page(s):149
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152
Abstract:
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.
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