Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 15, Issue 6, Pages 1495-1515Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2018069
Keywords
Impulsive delayed systems; stability analysis; impulsive control; impulsive perturbation; delayed impulses
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Funding
- National Natural Science Foundation of China [11301308, 61673247, 11601269]
- Research Fund for Distinguished Young Scholars and Excellent Young Scholars of Shandong Province [JQ201719, ZR2016JL024]
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This paper reviews some recent works on impulsive delayed systems (IDSs). The prime focus is the fundamental results and recent progress in theory and applications. After reviewing the relative literatures, this paper provides a comprehensive and intuitive overview of IDSs. Five aspects of IDSs are surveyed including basic theory, stability analysis, impulsive control, impulsive perturbation, and delayed impulses. Then the research prospect is given, which provides a reference for further study of IDSs theory.
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