Semi-decentralized approximation of optimal control for partial differential equations in bounded domains
Michel Lenczner, Youssef Yakoubi · Comptes Rendus Mécanique · 2009
We present a computational method for the optimal control of linear distributed systems. Its derivation is based on the functional calculus of self-adjoint operators, and on the Dunford–Schwartz representation formula. It has been devised to be implementable on very fine grained computing processors with semi-decentralized coordination. Finally, it is illustrated by an example related to vibration stabilization of a micro-cantilever array.