The equivalent transformation and its application of DEDS dioid model (Q2705609)

The authors are concerned with the concept of equivalence of discrete-event dynamical systems (DEDS) of dioid models. Using diod \(M\)-matrices, the simplification, standardization and performance analysis of DEDS dioid models are discussed by means of equivalent variable-transformations.NEWLINENEWLINENEWLINEThe main characteristics and calculating methods of three types of equivalent transformations are introduced. Some application examples of the results obtained in modeling, transfer function calculation are also indicated.NEWLINENEWLINENEWLINEProofs of the lemmas and theorems involved are not given in the paper. The reader is referred to the doctoral dissertation of the first author entitled ``Researches on dioid \(M\)-matrices and applications'' (Chinese) [Hunan University, Changsha/China (1998)].