一种新型的混合系统  

A Novel Hybrid System

作　　者：魏金飞 

机构地区：[1]浙江师范大学,数学科学学院,浙江 金华

出　　处：《应用数学进展》2023年第6期2643-2649,共7页Advances in Applied Mathematics

摘　　要：脉冲系统作为一类混杂系统,可以与逻辑动态系统相结合,研究逻辑选择脉冲效应的系统。 由于动力系统由脉冲效应和逻辑运算组成,因此它们是更一般和更复杂的混合系统。 运用矩阵的半张 量积的方法,将逻辑函数转换为等价的代数形式,使这类脉冲系统的研究成为可能。 本文主要运用矩阵的半张量积的方法将脉冲系统与逻辑动态系统结合。Impulsive systems, as a type of hybrid system, can be combined with logical dynamic systems to study systems with logic selective impulsive effects. Due to the fact that the power system consists of impulsive effects and logical operations, they are more general and complex hybrid systems. By using the semi-tensor product method of matrices,the logical function is transformed into an equivalent algebraic form, making the study of such impulsive systems possible. This article mainly uses the semi tensor product method of matrices to combine impulsive systems with logical dynamic systems.

关 键 词：脉冲系统 逻辑动态系统 矩阵的半张量积 稳定性 

分 类 号：O17[理学—数学]