This paper firstly consider the Bertino’s work which introduce periodic time and temporal dependencies in DAC model, and then presents a permission delegation model PDACDM to support temporary constraints, temporal dependencies constraints and propagation constraints.

A weighted role for activating task and periodic time authorization is an unsolved major problem for the access control of a workflow management system (WfMS).

The traditional RBAC model cannot express time secure access control constraint,so proposed a new RBAC model with time character,in which defined a new concept of authorization based on periodic time.

The result is that the cycle time goes up andthe number of the work-in-process/WIP rockets up.

For nonautonomous and nonlinear DEDS with a state feedback, by introducing the maximum mergable subset of a strongly connected system, we define the partial merging assignment of cycle times and the stabilization, give a necessary and sufficient condition for the assignment and a sufficient condition for the stabilization.

Area problems of cycle time independent assignment of min-max systems using a state feedback is considered, and constitution ways of confirming the most important sub domains of systems assigned region is obtained, and an example is given.

The existence of a positive time periodic solution for a time periodic boundary value problem is proven, and the asymptotic behavior of solutions to an initial boundary value problem are given respectively.

The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.

The time periodic solution problem of a coupled KdV and nonlinear Schrdinger equations was studied.