论文标题
网络系统与在工程遗传电路中应用的意外互动的鲁棒性
Robustness of networked systems to unintended interactions with application to engineered genetic circuits
论文作者
论文摘要
网络动力系统由通过规定的交互互连的子系统组成。但是，在许多工程应用中，一个子系统也可以通过“意外”的交互作用来影响他人，从而极大地阻碍了预期的网络的行为。尽管意外的互动可以建模为对子系统的干扰输入，但这些干扰取决于网络的状态。因此，每个隔离子系统的干扰衰减属性仅仅是不足以确保网络行为对意外相互作用是可靠的。在本文中，我们提供了子系统动力学和相互作用图的足够条件，以便网络的行为对于意外的交互是可靠的。这些条件要求每个子系统都会减弱恒定的外部干扰，是单调或“近单酮”，意外交互图是单调的，并且规定的相互作用图不包含反馈回路。我们采用此结果来指导资源有限的遗传回路的设计。更普遍地，我们的结果提供了条件，在这种条件下，组成子系统的鲁棒性足以保证网络与意外相互作用的鲁棒性。
A networked dynamical system is composed of subsystems interconnected through prescribed interactions. In many engineering applications, however, one subsystem can also affect others through "unintended" interactions that can significantly hamper the intended network's behavior. Although unintended interactions can be modeled as disturbance inputs to the subsystems, these disturbances depend on the network's states. As a consequence, a disturbance attenuation property of each isolated subsystem is, alone, insufficient to ensure that the network behavior is robust to unintended interactions. In this paper, we provide sufficient conditions on subsystem dynamics and interaction maps, such that the network's behavior is robust to unintended interactions. These conditions require that each subsystem attenuates constant external disturbances, is monotone or "near-monotone", the unintended interaction map is monotone, and the prescribed interaction map does not contain feedback loops. We employ this result to guide the design of resource-limited genetic circuits. More generally, our result provide conditions under which robustness of constituent subsystems is sufficient to guarantee robustness of the network to unintended interactions.
