Based on the Lyapunov stability and matrix theory, two schemes are used to estimate the unknown jump parameters of one certain chaotic circuit and complete synchronization is realized. Theoretical analysis is given and checked by the numerical simulation. Within the first scheme, some unknown jump parameters(parameters jump suddenly) are identified completely by stabilizing the chaotic system to stable state and the critical value for negative feedback coefficient can be found by calculating the conditional Lyapunov exponents of the controlled system. Within the second scheme, parameter observers and controllers with controllable gain coefficient are approached theoretically by using the Lyapunov stability theory. Five unknown parameters are estimated exactly within short transient period when the two chaotic circuits reach complete synchronization. The two schemes are compared and discussed in brief.