visual servoing is generally contained of control and feature tracking. study of previous methods shows that no attempt has been made to optimize these two parts together. in kernel based visual servoing method, the main objective is to combine and optimize these two parts together and to make an entire control loop. this main target is accomplished by using lyapanov theory. a lyapanov candidat...

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...

Visual Servoing is generally contained of control and feature tracking. Study of previous methods shows that no attempt has been made to optimize these two parts together. In kernel based visual servoing method, the main objective is to combine and optimize these two parts together and to make an entire control loop. This main target is accomplished by using Lyapanov theory. A Lyapanov candidat...

An important object in wavelet theory is the scaling function (t), satisfying a dilation equation (t) = P C k (2t ? k). Properties of a scaling function are closely related to the properties of the symbol or mask P (!) = P C k e ?i!k. The approximation order provided by (t) is the number of zeros of P (!) at ! = , or in other words the number of factors (1+e ?i!) in P (!). In the case of multiw...

A 2-D fractal heat conduction in a space is considered by He?s derivative. The two-scale transform adopted to convert the model its differential partner. homotopy perturbation method used find approximate analytical solution.