On the use of arrow form matrices for processes stability and stabilizability studies

The proposed stability conditions of dynamical systems characterized by arrow form matrices, presented in this paper, are deduced from stability study of overvaluing systems based vector norms and the use of the practical Borne and Gentina stability criterion. These matrices, with non null elements located around its diagonal and its last rows and columns, are well adapted with the chosen stability criterion based determinants computation. It is shown that this stability study approach is also efficient for multimodel system control and for coupled chaotic systems hybrid synchronization.