Three autonomous equations for pulse parameters were deduced by substituting quasi-soliton solution to the master equation of regenerative mode locking lasers. The steady-state solutions without and with chirp were derived and their stability was analyzed by the method of linear stability analysis. The results show that the evolution of the steady-state output parameters of the system varies with the values of modulation parameters, group velocity dispersion and self phase modulation. Thus the steady-state output can be controlled by adjusting the modulation parameters in the system.