Damping of a solution of linear autonomous difference-differential systems with many delays using feedback

Abstract

For linear autonomous difference-differential systems with commensurable delays, the problem of damping the solution by using a linear difference-differential controller with a state feed back is solved. A generalization of these results to linear autonomous difference-differential systems of neutral type with commensurable delays in the case of a continuous solution is proposed. A distinc tive feature of the present work is that the initial system is not completely controllable.