Partially Exact Controllability of Semilinear Heat Exchanger Systems

TL;DR

This paper investigates the partial exact controllability of two semilinear heat exchanger systems, identifying subspaces where control is achievable despite the systems not being fully controllable.

Contribution

It introduces the concept of partial exact controllability for semilinear heat exchangers and characterizes the specific subspaces where control can be exerted.

Findings

Identified subspaces where systems are exactly controllable

Established partial controllability for both heat exchanger models

Provided mathematical conditions for controllability in subspaces

Abstract

In this paper, we study two semilinear systems describing a monotubular and a two-stream heat exchanger. Neither system is exactly controllable; however, for each we specify a subspace of the state space with respect to which the system is exactly controllable, thus establishing partial exact controllability.