A Unification of System Equivalence Definitions.
Abstract
The concept of system equivalence was introduced to generalize the notion of system similarity to nonstate-space models, i.e., to systems described by polynomial operators. The idea of equivalence is relatively natural: given two descriptions of the same physical system by two different observers, one would like to assert whether these descriptions are the same from a coordinate-free point of view. In this paper, system equivalence is studied from both the polynomial and the state-space points of view. Previous definitions of system equivalence are connected together, and an alternative definition is proposed. This new approach is based on constructing complete information sets for a given differential system by expanding its usual input/output map. This idea generalizes the earlier concept of maximal-strict system equivalence.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1977
- Accession Number
- ADA050345
Entities
People
- B. Levy
- M. Morf
- S-y Kung
- Thomas Kailath
Organizations
- Stanford University