Based on above theory, the math measure is used to model the developing history of the structure in one basin both positively and negatively, then the primary geometry of the structure subsurface can be displayed directly.

Mechanistic modeling for particle size measurement by ultrasonic technique and inverse calculation of particle size distribution;

The permeability parts of aquifer are set up by using cluster analysis and fuzzy comprehensive judgment and the rank relationship of permeability coefficient of every part of aquifer is given and the way to enhance the precision of inverse calculation of permeability is described.

By combining robust L_2-gain control stragtegy with nonlinear damp technology,a backstepping design Lyapunov-based approach is developed to construct the adaptive state feedback controller explicitly,and realizes the robust output adjustment even in the presence of mismatched unknown parameters and bounded disturbances.

The backstepping design of nonlinear system is introduced firstly in the paper.

The sliding mode controller is designed to realize the track-control of the input signal based on the backstepping design theory of sliding mode control when inverted pendulum is controlled object.