A class of second order strong hyperbolic distributed parameter systems for iterative learning control

The work is connected with the development of stability theory methods for a class of second order strong hyperbolic distributed parameter systems for iterative learning control. This research works out the specific P-type control law for the system and proves its robustness and convergence via mapping and semi group method. The system state mild solution is built. The paper used mapping method with the P-type learning law, thus can guarantee the output tracking errors on L2 space converge along the iteration axis. An example has been shown to verify the effectiveness of the new proposed algorithm.