Chemical reactor systems are often complex dynamic time-delay systems that have to operate successfully in the presence of uncertainties. Under these circumstances, a concept of delay sensitivity and an integrated framework for delay sensitivity analysis of typical reactor systems with control and flexibility consideration is proposed in this work. In the proposed framework, two critical steps are used to push the dynamic system to satisfy the constrain requirement. In the first step, the Ziegler-Nichols method is combined with the Nonlinear Control Design (NCD) Package to optimize the control action. In the second step, the flexibility range is rectified based on the golden section method. The proposed strategy is investigated by two typical reactor systems with time delay. All the results demonstrate that the proposed framework may provide a powerful tool for delay sensitivity analysis of typical reactor systems with control and flexibility consideration.