Event-triggered delayed impulsive control for input-to-state stability of nonlinear impulsive systems |
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Affiliation: | 1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China |
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Abstract: | This paper studies the input-to-state stability (ISS) and integral input-to-state stability (iISS) of nonlinear impulsive systems in the framework of event-triggered impulsive control (ETIC), where the stabilizing effect of time delays in impulses is fully considered. Some sufficient conditions which can avoid Zeno behavior and guarantee the ISS/iISS property of impulsive systems are proposed, where external inputs are considered in both the continuous dynamics and impulsive dynamics. A novel event-triggered delayed impulsive control (ETDIC) strategy which establishes a relationship among event-triggered parameters, impulse strength and time delays in impulses is presented. It is shown that time delays in impulses can contribute to the stabilization of impulsive systems in ISS/iISS sense. Finally, the effectiveness of the proposed theoretical results is illustrated by two numerical examples. |
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Keywords: | Event-triggered impulsive control Nonlinear impulsive systems Input-to-state stability Integral input-to-state stability Delayed impulses |
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