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If a torque converter clutch is allowed to slip to a minimal amount, engine torque can be transmitted through a transmission without torque variation problem, and also low fuel consumption is realized by putting the clutch in operation even at low engine revolution. Oil pressure applied to clutch is electronically feedback-controlled to keep clutch slip to a minimal amount. But this feedback system tends to become unstable by impairment of various factors of the system. This paper relates to the stability analysis of feedback system, and especially to the control method by which feedback system can be made stable even when µ-v characteristic of clutch facing material is impaired.