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.