The numerous cases of circular failure slope were collected, based on the practical stability status and geometry, physics, mechanics parameters of the slope cases the data set for training and the data set for testing were formulated.

The testing results show that the calculation by the model almost reaches the practical stability factor of the slope,and the prediction is also coincident with the practical situation.

Based on special investigation the major factors to affect slope stabiity are derived through the data of certain mine slope. The fuzzy mathematics method is used to evaluate the slope stability and the evaluation results accord with the actual stability of the slope.

According to the criteria for classification of engineering rockmass and the actual stability state of mining preparation tunnels,the engineering quality of rock mass at 302 m sublevel of Chenchao Iron Mine is determined and evaluated by qualitative and quantitative methods. The engineering quality of rockmass at low sublevels is predicted furthermore.

On the basis of analysing the factors which affected stability of the reservoir bank, the main affective factors were turned into indexes and the stable degree were divided into four classes: stable, basically stable, inferior stable and unstable, Then using the methor of fuzzy mathematics, the author synthetically judged the stability of the reservoir bank, result of which, agreed well with the practial condition.

The elastic stability of no-sway frame is studied in this paper By use of the analysis method in this paper,the stability equation and the effective length of column in no-sway frame are obtained.

e practical stable property of nonlinear impulsive control systems is investigated by employing vector Lyapunov functions method and comparison method, several new results are also obtained.

Stability and catastrophe of the solutions of the cavitated bifurcation equation are discussed by using the minimal potential energy principle and the actual stable equilibrium state is then discussed.

The stability analysis equation of the limiting condition of the deep foundation pit of upheaval destruction is put forward. According to the actual project situation,the mechanics parameters experiment and data statistics is carried on,the deep foundation pit fuzzy destruction probability and the fuzzy reliability is calculated. The computed result shows that the fuzzy reliability can reflect the reality stable condition of the deep foundation pit.

The purpose of this work is to propose a scheme to stabilize the predictive control systems in the practical stability sense.

On the conjunction practical stability and controllability of large-scale impulsive control systems

We studied the conjunction practical stability and controllability of large-scale impulsive control systems by using the comparison systems and vector Lyapunov functions.

Then the less conservative sufficient conditions for conjunction practical stability and controllability of large-scale impulsive control system were obtained.

For a continuous approximation of the discontinuous control law,practical stability (essentially, global uniform ultimate boundedness) of the tracking error is proved.

A strategy to dynamically adapt the space-time grid according to the actual stability criteria imposed by the CFL-condition is proposed.

The actual stability boundary must lie between the stable and unstable points.

The calculation is stable up to CFL = 1.58, which corresponds to the actual stability boundary.

Assuming the internal A-spin,B—spin and C—spin of leptons and quarks, from the hasic symmetry SU(2)×SU(2)_L×SU(2)_R of every degree of fre- edom,we derive the color symmetry SU(3)、generation symmetry SU(3)′、 weak symmetry SU(2)_W and other higher composite symmetries of particles. The breakdown and locality of the composite symmetry are discussed briefly. The exotic particles of generation singlet are also predicted.An important prediction of the theory is the stability of protons.

In this paper Hill stability of the Sun-Earth-Moon system is discussed numerically. The numerical results show, that the Moon is stable probably, and when the distance between the Moon and the Earth be enlarged to 1.85 times of actual distance, the Moon will escape within 160 years; and when the distance be enlarged to 1.9 times, the Moon will escape within 5 years. These results are quite different from those obtained theoretically. Hill curves in the general three-body problem show that the Moon is unstable,...

In this paper Hill stability of the Sun-Earth-Moon system is discussed numerically. The numerical results show, that the Moon is stable probably, and when the distance between the Moon and the Earth be enlarged to 1.85 times of actual distance, the Moon will escape within 160 years; and when the distance be enlarged to 1.9 times, the Moon will escape within 5 years. These results are quite different from those obtained theoretically. Hill curves in the general three-body problem show that the Moon is unstable, and for stability the maximum of the distance between the Moon and the Earth should be 0.046 times as long as actual distance. However, for triplets the stable limit given numerically is near that given theoretically.

In this paper Hill stability of the Sun-Earth-Moon system is discussed numerically. The numerical results show, that the Moon is stable probably, and when the distance between the Moon and the Earth be enlarged to 1.85 times of actual distance, the Moon will escape within 160 years; and when the distance be enlarged to 1.9 times, the Moon will escape within 5 years. These results are quite different from those obtained theoretically. Hill curves in the general three-body problem show that the Moon is unstable,...

In this paper Hill stability of the Sun-Earth-Moon system is discussed numerically. The numerical results show, that the Moon is stable probably, and when the distance between the Moon and the Earth be enlarged to 1.85 times of actual distance, the Moon will escape within 160 years; and when the distance be enlarged to 1.9 times, the Moon will escape within 5 years. These results are quite different from those obtained theoretically. Hill curves in the general three-body problem show that the Moon is unstable, and for stability the maximum of the distance between the Moon and the Earth should be 0.046 times as long as actual distance. However, for triplets the stable limit given numerically is near that given theoretically.