H-matrix Based Stability Analysis of Chemical Process

Dynamic analysis of chemical processes is extremely important, as it is explained in the recent book chapter [1], especially because variation of parameters are unavoidable in chemical processes, and the consequences of theese variations might be multiple - the entire system may collapse or the output variables might not be affected at all. In another recent book chapter [2] chemical kinetics, in the sense of assesing stability, is discussed by analysing position of the eigenvalues of the state matrix of observed linear equations. The approach via eigenvalues is significant for not only chemistry, but also general science and dynamic systems. However, from mathematical point of view, dealing with eigenvalues is a demanding job, especially for large dimensions. Hence, it is desirable to avoid their computation, and find some other, as precise as possible, mathematical tools. One of them comes from the theory of H-matrices and the aim of this paper is to point out its advantages. In order to give a simple illustration, we will show how this approach works for a chemical procces presented in [3].