Title :
Controllability, observability, and duality in behavioral group systems
Author :
Forney, G. David, Jr. ; Trott, Mitchell D.
Author_Institution :
Motorola Inc., Mansfield, MA, USA
Abstract :
Fundamental results concerning abelian group systems and their duals are developed. Duals of sequence spaces over locally compact abelian groups are defined via Pontryagin duality; dual group systems are orthogonal subgroups of dual sequence spaces. If C and C⊥ are dual systems then the state spaces of C are isomorphic to the character groups of the state spaces of C⊥. Further, the controllability properties of C are equal to the observability properties of C⊥
Keywords :
controllability; duality (mathematics); group theory; observability; sequences; Pontryagin duality; abelian group systems; behavioral group systems; controllability; dual group systems; observability; orthogonal subgroups; sequence spaces; state spaces; Controllability; Hydrogen; Legged locomotion; Linear code; Observability; Parity check codes; State-space methods; Topology;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478653
