We consider a min-plus based numerical method for solution of finite timehorizon control of nonlinear diffusion processes. The approach belongs to the class of curseof-dimensionality-free methods. The min-plus distributive property is required. The price to pay is a very heavy curse-of-complexity. These methods perform well due to the complexityattenuation step. This projects the solution down ...

This paper concerns stability analysis and controller design for repetitive control. First, a two-dimensional (2D) continuous-discrete hybrid model of a repetitive control system is established. Next, new criteria for the asymptotic stability of the system are presented based on the model. Then, these criteria are extended to calculate lower bounds on stability margins to design a suitable cont...

In this study, we considered an inflationary inventory control model under non-deterministic conditions. We assumed the inflation rate as a normal distribution, with any arbitrary probability density function (pdf). The objective function was to minimize the total discount cost of the inventory system. We used two methods to solve this problem. One was the classic numerical approach which turne...

In this research, the decision on belief (DOB) approach was employed to analyze and classify the states of uni-variate quality control systems. The concept of DOB and its application in decision making problems were introduced, and then a methodology for modeling a statistical quality control problem by DOB approach was discussed. For this iterative approach, the belief for a system being out-...