The passive control problem for a class of nonlinear singular discrete systems was analyzed. By the means of generalized Lyapunov function and linear matrix inequality, a sufficient condition was presented and a zero solution of nonlinear singular discrete system is asymptotically stable and passive. Based on the passive analysis, the condition was given for the existence of a state feedback passive controller, and it makes zero solution of the closed-loop system asymptotically stable and passive. Moreover, meamwhile the design method of the controller is given. An example was given to prove the validity of the results.

Bayesian method was used to study the problem of the reliability demonstration test for Weibull distribution. Under the conditions of the shape parameter is unknown, while scale parameter is known，assuming the certain reliability index being a fixed figure, the reliability demonstration testing procedure for the zero failure data of Weibull distribution was given.