A Dynamic decode-and-forward(DDF)relaying protocol with partial Channel state information at the transmitter(CSIT) for a three-node half-duplex single-antenna network, which consists of a single sourcedestination pair and a relay, is proposed. A Diversity multiplexing tradeoff(DMT) analysis is presented, in which the DMT of the proposed protocol is derived in a closedform and an adaptive time allocation strategy is also developed to achieve the optimal performance. It is shown that time allocation with partial CSIT significantly improves the achievable DMT for DDF relaying. Moreover, unlike the existing DDF protocol with CSIT, which is performed with the assumption of long-term power constraint, the proposed protocol can be generalized to the practical scenarios where a strict short-term power constraint is often imposed on, due to the environmental safety and interference prevention. A Dynamic decode-and-forward (DDF) relaying protocol with partial Channel state information at the transmitter (CSIT) for a three-node half-duplex single-antenna network, which consists of a single sourcedestination pair and a relay, is proposed. A Diversity multiplexing tradeoff (DMT) analysis is presented in which the DMT of the proposed protocol is derived in a closed form and an adaptive time allocation strategy is also developed to achieve the optimal performance. It is shown that time allocation with partial CSIT significantly improves the achievable DMT for DDF relaying. Moreover, unlike the existing DDF protocol with CSIT, which is performed with the assumption of long-term power constraint, the proposed protocol can be generalized to the practical scenarios where a strict short-term power constraint is often imposed on, due to the environmental safety and interference prevention.