Title :
Unified canonical forms for linear time-varying dynamical systems under D-similarity transformations. I
Author :
Zhu, J. ; Johnson, C.D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA
Abstract :
The notions of D-characteristic equations, essential D-eigenvalues, and S1 and D1 canonical forms for vector and scalar linear differential equation (VLDE and SLDE) operators are introduced. Using the notion of D-similarity, an important relation between the vector operator and the SLDE operator is established, and an explicit procedure for reducing a VLDE operator to an SLDE operator via D-similarity transformation is derived
Keywords :
linear differential equations; linear systems; transforms; D-characteristic equations; D-similarity transformations; D1 canonical forms; S1 canonical forms; dynamical systems; essential D-eigenvalues; linear systems; scalar linear differential equation; time-varying systems; unified canonical forms; vector linear differential equation operators; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Mathematical model; Nonlinear equations; Riccati equations; Stability; Superluminescent diodes; Time varying systems; Vectors;
Conference_Titel :
System Theory, 1989. Proceedings., Twenty-First Southeastern Symposium on
Conference_Location :
Tallahassee, FL
Print_ISBN :
0-8186-1933-3
DOI :
10.1109/SSST.1989.72437
