Geodesic
Some problems of distributed and boundary control for systems with integral aftereffect
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 134-157

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We consider the problem of exact control 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. 
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     author = {I. V. Romanov and A. S. Shamaev},
     title = {Some problems of distributed and boundary control for systems with integral aftereffect},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
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     url = {http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a6/}
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I. V. Romanov; A. S. Shamaev. Some problems of distributed and boundary control for systems with integral aftereffect. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 134-157. http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a6/