Title :
A test for behavioral equivalence
Author :
Hou, M. ; Pugh, A.C. ; Hayton, G.E.
Author_Institution :
Dept. of Math. Sci., Hull Univ., UK
fDate :
11/1/2000 12:00:00 AM
Abstract :
External equivalence of behavioral representations is investigated within an impulsive-smooth framework. As an attendant problem, initial-value consistency is also considered. Explicit necessary and sufficient conditions are derived. Applying the external equivalence result to conventional system representations reveals some interesting interpretations.
Keywords :
autoregressive moving average processes; initial value problems; linear systems; matrix algebra; state-space methods; ARMA model; behavioral equivalence; descriptor systems; initial-value consistency; necessary condition; rational matrix; singular systems; state space systems; sufficient condition; Animation; Closed-form solution; Differential equations; Matrix converters; Modeling; Polynomials; Sufficient conditions; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on