关于随机逻辑动态系统发展方程的一个注记
A Remark on Evolution Equation of Stochastic Logical Dynamic Systems
摘要：
建模是分析和控制逻辑动态系统（LDS）的重要步骤。已经证明，确定性LDS可以建模为线性系统使用代数状态空间表示。然而，由于随机LDS固有的非线性，很难得到它的代数式。本文提供了一个统一的框架来分析具有确定性和随机动力学的LDS的过渡。首先，LDS与确定性动力学建模进行审查。然后考虑了LDS的随机动力学建模，提出了子系统与全局系统的不等价性。接下来，提供了非等同性的原因。最后给出了独立模型和条件独立模型的相容性条件。
英文摘要：
Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due to the inherently non-linear, it is difficult to obtain the algebraic expression of a stochastic LDS. This paper provides a unified framework for transition analysis of LDSs with deterministic and stochastic dynamics. First, modelling of LDS with deterministic dynamics is reviewed. Then modeling of LDS with stochastic dynamics is considered, and non-equivalence between subsystems and global system is proposed. Next, the reason for the non-equivalence is provided. Finally, consistency condition is presented for independent model and conditional independent model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
