TY - JOUR N2 - Abstract We propose a generalization of the Butkovskiy's method of control with compact support [1] allowing to derive exact controllability conditions and construct explicit solutions in control problems for systems with distributed parameters. The idea is the introduction of a new state function which is supported in considered bounded time interval and coincides with the original one therein. By means of techniques of the distributions theory the problem is reduced to an interpolation problem for Fourier image of unknown function or to corresponding system of integral equalities. Treating it as infinite dimensional problem of moments, its L1, L2 and L∞-optimal solutions are constructed explicitly. The technique is explained for semilinear wave equation with distributed and boundary controls. Particular cases are discussed. L1 - http://journals.pan.pl/Content/84349/PDF/1.pdf L2 - http://journals.pan.pl/Content/84349 PY - 2015 IS - No 1 DO - 10.1515/acsc-2015-0001 A1 - Khurshudyan, Asatur Zh. PB - Committee of Automatic Control and Robotics PAS DA - 2015[2015.01.01 AD - 2015.12.31 AD] T1 - Generalized control with compact support for systems with distributed parameters UR - http://journals.pan.pl/dlibra/publication/edition/84349 T2 - Archives of Control Sciences ER -