Ultradiscrete Analysis on Engineering Systems

我们发现了超离散方程的解和数学结构的几个新方面，其中自变量和因变量都是离散的。我们还研究了超离散方程的解与相应的非线性微分方程的解之间的关系，明确了两者之间的密切联系。我们还提出了一个卡尔曼滤波器的超离散系统，这表明超离散方程的工程系统的适用性。

We found several new aspects of the solutions and mathematical structures for ultradiscrete equations, in which both of the independent and dependent variables are discrete. We also studied the relationship between the solutions of the ultradiscrete equationsandthe corresponding nonlinear differential equations and made clear that both are closely related. We also proposed a Kalman filter for the ultradiscrete system, which suggests an applicability of the ultradiscrete equations to engineering systems.