An adaptive optical system with a continuous flexible mirror is modeled. The random wavefront tilts are estimated from the shifts of the centers of gravity of the images formed by four sections of the aperture. The dependence of the resolution of the system on the ratio of the aperture diameter to the size of the correlation length of atmospheric distortions is determined. The potential resolution of the system is estimated. The characteristics of the system mentioned above are compared with the characteristics of a systems with compensation of the general tilt and a four-segment mirror. It is shown that the system studied is 2.1 times more efficient than a system with compensation of the general tilt and 1.2 times more efficient than a system with a four-segment mirror.