Title :
Representations of symmetric linear dynamical systems
Author :
Fagnani, Fabio ; Willems, Jan C.
Author_Institution :
Scuola Normale Superiore, Pisa, Italy
Abstract :
The symmetries of dynamical systems in a special class of dynamical systems referred to as Lq are studied. A symmetry is induced by a transformation group, the basic idea being that there is a group of transformations mapping one dynamical system Σ in Lq into another. If this transformation leaves the behavior invariant, then Σ is called symmetric. A necessary and sufficient condition for Σ to exhibit a type of symmetry called v-symmetry is obtained, and an example showing a canonical form for symmetric systems is given
Keywords :
differential equations; linear systems; polynomials; set theory; necessary and sufficient condition; symmetric linear dynamical systems; transformation group; Differential equations; Mathematics; Polynomials; Sufficient conditions; Terminology;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261242