Feedback stabilization of non-uniform spatial pattern in reaction-diffusion systems
ACC（2013）
摘要
In this paper, we formulate and solve feedback stabilization problem of unstable non-uniform spatial pattern in reaction-diffusion systems. By considering spatial spectrum dynamics, we obtain a finite dimensional approximation that takes over the semi-passivity of the original partial differential equation. By virtue of this property, we can show the diffusive coupling in the spatial frequency domain achieves the desired pattern formation.
更多查看译文
关键词
unstable nonuniform spatial pattern,reaction-diffusion systems,spatial frequency domain,approximation theory,finite dimensional approximation,frequency-domain analysis,pattern formation,partial differential equation,feedback,diffusive coupling,spatial spectrum dynamics,semipassivity,partial differential equations,feedback stabilization problem,stability,couplings,frequency domain analysis,feedback control
AI 理解论文
溯源树
样例
生成溯源树，研究论文发展脉络
Chat Paper
正在生成论文摘要