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Electronic closed loop control of automatic transmission functions can potentially benefit from the use of quantitative models of transmission response in a form compatible with controller design procedures. Transmission dynamic response during gear shifts of a discrete-ratio transmission is nonlinear. Procedures for developing linearized dynamic models are applied to the simulation of the nonlinear model of a representative power train during the inertia phase of a shift. The frequency responses for the resulting linear models are examined, and their implications for controller design are noted.