A. Bazezew et al., OPTIMAL (DISTRIBUTED OR BOUNDARY) CONTROL OF THE VIBRATIONS OF CONTINUOUS SYSTEMS SOLVED NUMERICALLY IN A SPACE-TIME DOMAIN, Engineering computations, 14(6-7), 1997, pp. 746
Presents numerical algorithms which easily solve both optimal distribu
ted and optimal boundary control problems in a space-time domain. Anal
yses two simple cases of continuous systems. These are the vibrating s
tring and the axially vibrating rod. Using finite difference recurrenc
e schemes, gives numerical results which compare the behaviour of the
controlled and uncontrolled systems. Compares the results for special
cases in which analytical solutions are obtainable are compared with t
he results using the general numerical schemes.