In this paper, we present velocity feedback control design with significant time delays for the active control of structures. Because of the presence of significant time delays, we study the infinite dimensionality of the system with time-delayed control and introduce the concept of the so-called non-system poles. Analytical results related to performance and stability analysis of the new control design are provided. The non-system poles are shown to influence both system stability and system performance and cannot therefore be ignored in time-delayed control systems. We then apply the time delayed negative velocity feedback control methodology to a single-degree-of-freedom system subjected to random ground acceleration. The numerical results show good stability characteristics and effective behavior of the proposed control methodology.

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