Title :
Feedback stabilization of non-uniform spatial pattern in reaction-diffusion systems
Author :
Kashima, Kenji ; Ogawa, Tomomi ; Sakurai, Takayasu
Author_Institution :
Grad. Sch. of Eng. Sci., Osaka Univ., Toyonaka, Japan
Abstract :
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.
Keywords :
approximation theory; feedback; frequency-domain analysis; partial differential equations; pattern formation; reaction-diffusion systems; stability; diffusive coupling; feedback stabilization problem; finite dimensional approximation; partial differential equation; pattern formation; reaction-diffusion systems; semipassivity; spatial frequency domain; spatial spectrum dynamics; unstable nonuniform spatial pattern; Approximation methods; Couplings; Educational institutions; Feedback control; Partial differential equations; Pattern formation; Time factors;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580412
