studied the exponential energy decay ofsystem ,for the case of constant coefficients,when choosing suitable feedback coefficients, [1].

The concept of roll energy decay function is put forward, and the nonlinear damping coefficients are solved based on the minor error between actual energy function and evaluated energy function.

In this paper,the problem of zero slump concrete vibration attenuation rules and energy attenuation factor β and continuation time required in the process of concrete vibrating and pressing and acting radial of vibrator are analysed and discussed through practical measuring of zero slump concrete vibration acceleration and time curve in the process of working.

First the image was transformed into diagonal one,reserving the correlations between variations of rows and those of columns of the image,then an image with definite size was obtained by using wavelet transform,and finally the susceptivity of algorithm to the change of illumination was reduced by using exponential decay strategy.

Moreover,by study the asymptotic behavior of solutions for the ablve problem,that the energy is exponential decay in time was.

In this paper, we study the existence, uniqueness and exponential decay of the global solution for the systemwith initial conditionsHere |·|2 is the norm in L~2(0,L) , u is the transverse displacement of the string, d is the temperature and M,N and R are real nonlinear functions.