On Reachability and Observability of a Plug-Flow Reactor Equation
This paper is concerned with the problems of reachability and observability of a plug-flow reactor equation. It is shown that the system with boundary inputs is formulated as an well-defined boundary control system, and that it is reachable through a concrete expression of the solution. In addition, the reachable subspace is characterized for the case where only one boundary input is added to the system. Furthermore, the results concerning observability are derived through a concrete expression of the solution to the dual system of the plug-flow reactor equation with the output equation.