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Some Problems of Distributed and Boundary Control for Systems with Integral Aftereffect

Journal of Mathematical Sciences. 2018. Vol. 234. No. 4. P. 470–484.
Romanov I., Shamaev A. S.

 We consider the problem of exact controllability  for a system described by an equation with integral
“memory”. It is shown that, under certain conditions, this system can be brought to rest in finite time by
distributed control bounded in absolute value, and, in a special one-dimensional case, by control applied to
an end-point of the interval. We consider different types of kernels in the integral term of the equation and
describe some relationships between problems of controllability of some hyperbolic and parabolic systems.

Priority areas: mathematics
Language: English
Full text
DOI
Keywords: Boundary controllabilityDistributed controllabilitySystems with memory
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