Relative controllability of impulsive multi-delay differential systems
2022 ◽
Vol 27
(1)
◽
pp. 70-90
Keyword(s):
In this paper, relative controllability of impulsive multi-delay differential systems in finite dimensional space are studied. By introducing the impulsive multi-delay Gramian matrix, a necessary and sufficient condition, and the Gramian criteria, for the relative controllability of linear systems is given. Using Krasnoselskii’s fixed point theorem, a sufficient condition for controllability of semilinear systems is obtained. Numerically examples are given to illustrate our theoretically results.
1972 ◽
Vol 16
(6)
◽
pp. 1083-1100
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2018 ◽
Vol 42
(3)
◽
pp. 954-968
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2017 ◽
Vol 1
(1)
◽
pp. 22
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2017 ◽
Vol 38
◽
pp. 39-46
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