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This paper studies the input-to-state stability (ISS) and integral input-to-state stability (iISS) of nonlinear systems with delayed impulses. By using Lyapunov method and the analysis technique proposed by Hespanha et al. (2005), some sufficient conditions ensuring ISS/iISS of the addressed systems are obtained. Those conditions establish the relationship between impulsive frequency and the time...
This study addresses the input-to-state stability (ISS) and integral ISS (iISS) of non-linear systems with distributed-delayed impulses. Based on Lyapunov method and the analysis technique proposed by Hespanha et al., the authors derive some sufficient condition for ISS/iISS, which depend on the distributed delays existing in impulses. They prove that the given system is uniformly ISS/iISS under the...
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