A new type of meshfree method is developed by incorporating the generalized node which originated from manifold method with the conventional meshfree method.

This paper explains the basic principle of composite element method and introduces the concept of virtual node and generalized node used in the hierarchical finite element method.

Based on the composition of displacement function on manifold element,a new method of constraints treatment of fixed boundary is proposed;and it changes the constraints treatment of fixed boundary into the constraints treatment of generalized node;and the constraints condition will be met strictly by using special cover.

Robust fault-tolerant control for uncertain singular systems;

Guaranteed cost H_∞control for liner uncertain singular systems;

Robust H∞ fault-tolerant controller design for singular systems with parameter uncertainty;

H_∞ guaranteed cost control for singular system with state delay and parameter uncertainty;

Some issues on network control system based on singular system model;

BIBO control of singular systems with input saturation;

Reliable guaranteed cost control for descriptor systems with uncertainty;

Multi-sensor information fusion Kalman state predictor for descriptor systems;

Analysis of controllability for descriptor system based on behavioral approach;