Title :
Meromorphic D-similarity transformation for linear time-varying systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
This study constitutes an effort in identifying a class of unbounded coordinate transformations for vector linear time-varying systems of the form x˙=A(t)x. Main results of this paper include: (i) the definition and properties of meromorphic D-similarity transformations, (ii) two theorems on stability preserving meromorphic transformations. The results appear to be somewhat restrictive, but certainly shed some light on this intriguing yet difficult problem
Keywords :
linear systems; matrix algebra; time-varying systems; meromorphic D-similarity transformation; stability preserving transformations; theorems; unbounded coordinate transformations; vector linear time-varying systems; Asymptotic stability; Image processing; Laboratories; Polynomials; Remote sensing; Stability analysis; Time varying systems; Vectors;
Conference_Titel :
System Theory, 1994., Proceedings of the 26th Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-8186-5320-5
DOI :
10.1109/SSST.1994.287866
