The concept of general gradient was introduced into the original Monte Carlo method,and an improved Monte Carlo method based on general negative gradient was proposed.

Study of generalized gradient and its application in blind signal separation;

A newly generalized gradient and application to optimization problems;

An optimal algorithm model for the electrical plug design is put forward according to the general gradient method,which is used to settle the multi-variable and non-lin- ear problems.

Based on and[1] and [2],in this paper we further discuss the relation hetween generalized gradient and generalized subgradient.

: A generalized subgradient for the Lipschitz function has been defined, and was applied in thenonsmooth optimization.

This paper shows that the notion of generalized subgradient of weak Lipschitz functions as defined by Zhang Yuzhong in his paper which appeared in this journal vol.

We prove that a Fritz John point expressed by Clarke generalized gradient is a Fritz John point expressed by quasidifferential.

By utilizing the notion of Filippov solution,Clarke generalized gradient and nonsmooth Lyapunov stability theory,a further discuss on sliding mode control is presented for second-order systems with a nonsmooth linear Lipschitz continuous sliding surface.