For a class of conditional expectation equation of dependent variable functions in a regression model, we propose the local linear estimators of regression function and its derivative based on the empirical likelihood method to utilize efficiently auxiliary information.

Consideration of the local nonlinear characteristic of large-scale complicated soil site simplifies the equivalent linear method to analyze the seismic response of the soil site.

An exact linearization method was developed to overcome the drawbacks of local linearization based on Taylor series expansion, which introduces errors due to the neglected higher order terms.

Two applications of GPMN are given: the first one is to extend the stability region of the local linearization control, and the second one is to combine with other control strategies to deal with the input constrained sys.

It has been studied that the local linearization of the unlinear mapping between Banach spaces by using of the generalized inverse theory and the definition of local fine point.

Three parameters, which are the delay time of load record series, embedded space dimension and distance in choosing the neighboring points, need to be determined in forecasting short term loads by the local linearization method of phase space reconstruction.

By means of impulsive response method to analyze random vibration of local nonlinear system, the effects of engine s vibration on vehicle body are presented in the paper.

In the analysis of dynamic characteristics of space structures, the connecting elementsplay an important role in the overall dynamics of the structure, which often lead to the structureexhibits local nonlinearities.

Direct time integrations are usually used to determine the response of systems with local nonlinearities, which are computationally expensive to predict the steady state response.

Hence it can be applied to large-scale FE models with local nonlinearities.