Open AccessInput‐to‐state stability of non‐linear systems with distributed‐delayed impulses
Author(s) -
Zhang Xiaoli,
Li Xiaodi
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0469
Subject(s) - control theory (sociology) , dwell time , state (computer science) , stability (learning theory) , exponential stability , linear system , lyapunov function , mathematics , computer science , control (management) , nonlinear system , algorithm , artificial intelligence , mathematical analysis , physics , quantum mechanics , machine learning , medicine , clinical psychology
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 average dwell time conditions. Finally, the effectiveness of the proposed results is evidenced by two illustrative examples.