Numerical simulation in the partial differential equation controllability analysis with physically meaningful constraints

In this article we apply numerical methods to the research of the notion that control specialists are familiar with, i.e. controllability. The main novelty of this article is the research methodology that fully considers lower bounds of the manipulated variables and their upper limitations. Thus, the theoretical results in this paper are fully realistic and dependable for practical engineering purposes. We choose the advanced matrix algebra and analysis together with the properties of the positive systems as the mathematical tools. Additionally, we present ready-to-use algorithm in the Matlab^® package.