Title :
Realization of positive linear systems using polyhedral cones
Author :
van den Hof, J.M. ; van Schuppen, J.H.
Author_Institution :
CWI, Amsterdam, Netherlands
Abstract :
Positive linear systems are frequently used in research areas like biology and economics. The problem to classify all minimal realizations of these systems is treated in this paper. Extensive use is made of the theory of polyhedral cones. Sufficient and necessary conditions for the existence of a positive realization are given, but the problem of minimality leads to a yet unsolved factorization problem of positive matrices. Ideas and results are given to come towards a solution of this factorization problem
Keywords :
computational geometry; identification; linear systems; matrix algebra; multidimensional systems; state-space methods; factorization; minimality; necessary condition; polyhedral cones; positive linear systems; positive matrix; state space; structural identifiability; sufficient condition; time invariant finite dimensional systems; Linear systems; State-space methods; Stochastic systems; Sufficient conditions; Systems biology; Vectors;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411773
