关联系统的同步及其在生化网络中的应用：一种输入-输出方法
Synchronization of Interconnected Systems with Applications to Biochemical Networks: an Input-Output Approach
摘要：
本文给出了非线性系统网络的同步条件。网络的组成部分（在本文中称为“隔间”）由子系统的相同互连组成，每个子系统表示为扩展L2空间中的算子，并称为“物种”。隔室又通过相应物种之间的扩散同类项术语耦合。将子系统的输入输出特性与网络结构信息相结合，给出了同步条件。本文还探讨了状态空间模型的结果，以及生化应用。这项工作的动机是细胞网络，信号发生在内部，通过物种的相互作用，和外部，通过细胞间的信号。该理论说明了网络的Goodwin振荡器提供同步条件。
英文摘要：
This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments'' in this paper) are made up of an identical interconnection of subsystems, each represented as an operator in an extended L2 space and referred to as a "species''. The compartments are, in turn, coupled through a diffusion-like term among the respective species. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of network. The paper also explores results for state-space models, as well as biochemical applications. The work is motivated by cellular networks where signaling occurs both internally, through interactions of species, and externally, through intercellular signaling. The theory is illustrated providing synchronization conditions for networks of Goodwin oscillators.
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。
