At Microarchitectural level, multi-core processor, as a complex System on Chip, has sophisticated on-chip components including cores, shared caches, interconnects and system controllers such as memory and ethernet controllers. At technological level, architects should consider the device types forecast in the International Technology Roadmap for Semiconductors (ITRS). Energy simulation enables architects to study two important…

The aim of this paper is to study the boundary enlarged gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control \(u\) which steers the gradient state from an initial gradient one \(\nabla y_{_{0}}\) to a gradient vector supposed to be unknown between two defined bounds \(b_1\) and…