%0 Journal Article
%T Control of Oscillating Systems with a Single Delay
%A J. Dibl&#237
%A k
%A D. Ya. Khusainov
%A J. Luk&#225
%A &#269
%A ov&#225
%A M. R&#367
%A &#382
%A i&#269
%A kov&#225
%J Advances in Difference Equations
%D 2010
%I Springer
%R 10.1155/2010/108218
%X Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of special matrix functions called a delayed matrix sine and a delayed matrix cosine is used to develop the conditions of relative controllability and to construct a specific control function solving the relative controllability problem of transferring an initial function to a prescribed point in the phase space.
%U http://dx.doi.org/10.1155/2010/108218