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Hybrid dynamical systems theory and the Signal language

机译：混合动力系统理论与信号语言

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摘要

The logic and synchronization characteristics of general dynamical systems called hybrid dynamical systems (HDS) are studied. The theory is related to discrete event dynamical system theory, but handles numerics as well as symbolics. It is supported by the programming language Signal and a mathematical model of general implicit dynamical systems. The core of the theory is the notion of HDS resolution which is based on a coding of any HDS into a dynamic graph which consists of a skew product of a polynomial dynamical system on the finite field of integers modulo 3 (to describe the transitions of the underlying automation) and directed graphs (to describe how data dependencies dynamically evolve). The resolution algorithms are based on the study of this dynamical system.
机译：研究了称为混合动力系统（HDS）的一般动力系统的逻辑和同步特性。该理论与离散事件动力学系统理论相关，但处理数字和符号。它由编程语言Signal和通用隐式动力学系统的数学模型支持。该理论的核心是HDS分辨率的概念，它基于将任何HDS编码为动态图，该图由多项式动力学系统在整数模3的有限域上的偏乘积组成（以描述3D的跃迁）。基础自动化）和有向图（以描述数据依赖性如何动态演化）。分辨率算法基于对该动力学系统的研究。

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