Relaxation of the attainability problem for a linear control system of neutral type
2021 ◽
Vol 31
(1)
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pp. 70-88
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The problem of control of a linear system of neutral type with impulse constraints is developed. In addition, a given system of intermediate conditions is assumed. A setting is investigated in which a vanishingly small relaxation of the mentioned restrictions is allowed. In this regard, the attainability domain (AD) at a fixed time of the end of the process is replaced by a natural asymptotic analog, the attraction set (AS). To construct the latter, we use the construction of an extension in the class of finitely additive (f.-a.) measures used as generalized controls. It is shown that the AS coincides with the AD of the system in the class of generalized controls – f.-a. measures. The structure of the mentioned AS is investigated.
2007 ◽
Vol 39
(5)
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pp. 1-17
2012 ◽
Vol 76
(3)
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pp. 284-292
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1964 ◽
Vol 17
(3)
◽
pp. 283-300
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2010 ◽
Vol 19
(4)
◽
pp. 256-264
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