Controllability, reachability and minimum energy control of fractional discrete-time linear systems with multiple delays in state
2014 ◽
Vol 62
(2)
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pp. 233-239
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Keyword(s):
Abstract In the paper the problems of controllability, reachability and minimum energy control of a fractional discrete-time linear system with delays in state are addressed. A general form of solution of the state equation of the system is given and necessary and sufficient conditions for controllability, reachability and minimum energy control are established. The problems are considered for systems with unbounded and bounded inputs. The considerations are illustrated by numerical examples. Influence of a value of the fractional order on an optimal value of the performance index of the minimum energy control is examined on an example.
2016 ◽
Vol 26
(2)
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pp. 177-187
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2014 ◽
Vol 62
(1)
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pp. 85-89
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2014 ◽
Vol 24
(4)
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pp. 735-743
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2014 ◽
Vol 33
(3)
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pp. 976-988
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2013 ◽
Vol 23
(2)
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pp. 205-211
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2014 ◽
Vol 62
(2)
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pp. 227-231
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2017 ◽
Vol 27
(1)
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pp. 33-41
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2014 ◽
Vol 47
(3)
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pp. 2909-2914
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Keyword(s):
2014 ◽
Vol 24
(2)
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pp. 335-340
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