Research Of Qualitative Simulation Based On Quantitive Information

Simulation technology is a rapid developing high-tech, which has become an important and indispensable means for the analysis, the design, the test and the evaluation of many complex systems in view of its economy, reliability, security, flexibility and the repeatedable utilization. Differential difference equation is a kind of powerful means to investigate the rule of natural phenomena, whose qualitative analysis has always been the hot spot subject to be studied in the recent years. However, very few people consider the stability theory of difference equations in terms of the simulation. This paper is mainly focus on the problems that still exist in the hot subject. Roughly speaking, the following work has been done:1) We simulate an open problem presented by an international journal as follows: Assume that p , q∈[0, +∞) and k∈{2,3, }. Investigate the global behavior of all positive solution of the equation . We can preliminarily draw the conclution that the unique positive equilibrium of the equation is a global attractor. Then we quantatively study the global asymptotical stability of the eqution and partly solve the open problem.2) Based on qualitative simulation, we introduce quantitative knowledge so that the fuzzy nature which is caused by qualitative calculation in each step of qualitative simulation can be greatly reduced, thus many unnecessary simulation branches are reduced and a lot of unnecessary calculation is saved. At the same time we may construct different system model to form the intelligent system so that it can meet the need of different applications. We improve Q2 algorithm in which quantitative information is added to QSIM algorithm, and enable it to be applied to a kind of discrete system.3) We construct the quantitative qualitative simulation system (DQSM) based on difference equation, improve the algorithm to some extent and clarify the main categories. In DQSM system based on QSIM algorithm, we add five constraints, and enhance the descripation ability of the system so that the production of the redundant behavior in the system is reduced greatly and that the system has certain advantages compared with Kuipers'qualitative simulation system.