Controllability criteria for time–delay fractional systems with a retarded state
2016 ◽
Vol 26
(3)
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pp. 521-531
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Keyword(s):
Abstract The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.
2008 ◽
Vol 18
(2)
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pp. 223-228
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2019 ◽
Vol 29
(2)
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pp. 305-310
1986 ◽
Vol 23
(04)
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pp. 851-858
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Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
2020 ◽
Vol 21
(7-8)
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pp. 749-759
2012 ◽
Vol 60
(3)
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pp. 605-616