Title :
Eigen-properties of the information state-space
Author :
Bundell, Gary A.
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Abstract :
The purpose of this paper is to examine the eigen-properties for a particular complex field mapping proposed in Bundell (1993) to represent the 2D time-event state-space proposed by Cohen et al. (1989). This work extends the definition of the characteristic equation developed by Olsder & Roos (1988) for the max algebra to the information (time-event) state-space and examines an approach to its solution. An examples is given to illustrate the approach
Keywords :
discrete event systems; eigenvalues and eigenfunctions; graph theory; matrix algebra; state-space methods; 2D time-event state-space; characteristic equation; complex field mapping; discrete event dynamic systems; eigen-properties; information state-space; max algebra; timed event graph; Algebra; Control engineering; Equations; Frequency response; Linear systems; Polynomials; Real time systems; Signal mapping; Systems engineering and theory; Timing;
Conference_Titel :
Systems, Man and Cybernetics, 1995. Intelligent Systems for the 21st Century., IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-2559-1
DOI :
10.1109/ICSMC.1995.537865
