Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 3, Pages 954-968Publisher
WILEY
DOI: 10.1002/mma.5400
Keywords
impulsive delay differential equations; impulsive delay Grammian matrix; relative controllability
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Funding
- National Natural Science Foundation of China [11661016]
- Training Object of High Level and Innovative Talents of Guizhou Province [[2016]4006]
- Science and Technology Program of Guizhou Province [[2017]5788-10]
- Major Research Project of Innovative Group in Guizhou Education Department [[2018]012]
- Foundation of Postgraduate of Guizhou Province [YJSCXJH[2018]035]
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This paper investigates the relative controllability of delay differential systems with linear impulses and linear parts defined by permutable matrices. We use the impulsive delay Grammian matrix to discuss the relatively controllability of impulsive linear delay controlled systems and we use the Krasnoselskii's fixed point theorem to discuss the relatively controllability of impulsive semilinear delay controlled systems. Finally, two examples are presented to illustrate our theoretical results.
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