Analysis and control of large scale complex networks

该项目与相互作用的动力系统的大规模复杂网络的建模、分析和控制有关，主要强调相互作用中不可避免地存在的潜在噪声如何影响系统的功能和紧急行为。特别是，将首先研究噪声在生化反应网络中的作用，研究如何通过反馈来抑制生化反应的内在随机性。由于单个分子的自发出生和死亡，噪声在细胞内无处不在。这种噪音可能会使代谢物远离它们所需的浓度，或者有时有利于多样性。这些分子事件的离散性，以及它们之间时间的随机性，给分析带来了相对于控制理论中更传统的方法的挑战。在整个项目中，将制定量化这类噪音的分析方法以及抑制噪音的硬限制。然后，我们将探讨随机性在其他类型网络中的影响，例如具有供应/需求和通信信号的随机性的电力网络。

The project is associated with modelling, analysis and control of large scale complex networks of interacting dynamical systems, with a main emphasis on how the underlying noise inevitably present in the interactions can affect the system functionality and emergent behaviour. In particular, the role of noise in biochemical reaction networks will be studied first investigating how the intrinsic stochasticity of biochemical reactions can be suppressed by means of feedback. Noise is ubiquitous within the cell due to the spontaneous birth and deaths of individual molecules. This noise could drive metabolites away from their desired concentrations or sometimes be beneficial for diversity. The discreteness of these molecular events in conjunction with the randomness in the time between them introduces challenges in the analysis relative to more conventional methods in control theory. Throughout the project analytical methods for quantifying such noise will be developed as well as hard limits for its suppression. The effect of stochasticity in other type of networks will then be explored such as power networks with stochasticity in the supply/demand and the communicating signals.