Title :
A note on existence of positive realizations
Author :
Astolfi, A. ; Colaneri, P.
Author_Institution :
Dip. di Elettronica e Informazione, Politecnico di Milano, Italy
Abstract :
The problem of existence of positive realizations for a class of continuous time systems is addressed and solved. It is shown that the definiteness of two submatrices of the (infinite) Hankel matrix associated with the transfer function to be realized implies the existence of a (minimal) positive realization. Applications of this result to the problem of existence and construction of non-minimal realizations are also discussed.
Keywords :
Hankel matrices; asymptotic stability; continuous time systems; linear systems; realisation theory; transfer functions; continuous time systems; definiteness; infinite Hankel matrix; nonminimal realizations; positive realizations; submatrices; transfer function; Continuous time systems; Discrete time systems; Educational institutions; Poles and zeros; Sufficient conditions; Terminology; Transfer functions;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023159
