Title :
Parametrizations of linear systems by data driven local coordinates
Author :
Deistler, Manfred ; Ribarits, Thomas
Author_Institution :
Inst. for Econometrics, Operations Res. & Syst. Theor., Vienna Univ. of Technol., Austria
Abstract :
Some properties of data driven local coordinates (DDLC) as introduced in Wolodkin et al. (1997) and McKelvey and Helmersson (1999) are derived. First we briefly introduce the parametrization by DDLC and echelon and Ober balanced canonical forms. Then the special case s = m = n = 1 is discussed in detail: geometrical, topological and numerical properties are examined. Finally, new geometrical and topological results for DDLC in the case of general McMillan degree n and arbitrary input and output dimensions are given
Keywords :
continuous time systems; controllability; discrete time systems; geometry; identification; linear systems; matrix algebra; stability; state-space methods; topology; transfer functions; Ober balanced canonical forms; data driven local coordinates; echelon forms; geometrical properties; linear systems; numerical properties; parametrizations; state space models; system identification; topological properties; Ear; Econometrics; Linear systems; Operations research; Solid modeling; Stability; State-space methods; System identification; Transfer functions; White noise;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980958
