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IN THE DESIGN of feedback control systems, the ultimate goal is the synthesis of a system to perform according to prescribed specifications. This paper develops a method of synthesis for feedback control systems which is partially based upon previous work in network theory and sampled-data systems. Synthesis is realized in the complex plane by obtaining the open-loop-system transfer function from the desired closed-loop input and output time functions. Specifications are introduced in terms of the system response to a deterministic input such as a step or ramp function. A plot of the desired closed-loop transient response is made which is then sampled at equal time intervals.