TY - JOUR N2 - In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed. L1 - http://journals.pan.pl/Content/119514/art08.pdf L2 - http://journals.pan.pl/Content/119514 PY - 2021 IS - No 1 EP - 184 DO - 10.24425/acs.2021.136885 KW - infinite dimensional systems KW - approximate controllability KW - Green’s function approach KW - flexible Kirchhoff–Love plate A1 - Klamka, Jerzy A1 - Khurshudyan, Asatur Zh. PB - Committee of Automatic Control and Robotics PAS VL - vol. 31 DA - 2021.03.30 T1 - Approximate controllability of second order infinite dimensional systems SP - 165 UR - http://journals.pan.pl/dlibra/publication/edition/119514 T2 - Archives of Control Sciences ER -