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Multi-agent system modeling of advection-diffusion-reaction equations

文献类型： 会议论文

第一作者： Alessandro Borri

作者： Alessandro Borri 1 ; Valerio Cusimano 1 ; Simona Panunzi 1 ; Andrea De Gaetano 1 ;

作者机构： 1.CNR-IASI Biomathematics Laboratory, Italian National Research Council, Institute of Systems Analysis and Computer Science "A. Ruberti"

关键词： Distributed parameter systems;Agents and autonomous systems;Model reduction

会议名称： European Control Conference

主办单位：

页码： 2430-2435

摘要： This work addresses a problem of model-order reduction for a wide class of Partial Differential Equations (PDE). Starting from the popular continuity equation, describing a general conservation law in space, a typical advection-diffusion-reaction equation is illustrated and then turned into a finite-dimensional system by means of reasonable approximations of the processes involved. The reduced-order model takes the form of a Linear Time-Varying (LTV) system, inheriting qualitative and quantitative properties of the original infinite-dimensional model. Convergence properties are discussed and illustrated, also highlighting connections with known results on multi-agent systems. Preliminary numerical simulations show the effectiveness of the proposed approach.

分类号： TP273-53

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