Accession Number:

ADA024481

Title:

On Discrete-Time Polynomial Systems.

Descriptive Note:

Interim rept.,

Corporate Author:

FLORIDA UNIV GAINESVILLE CENTER FOR MATHEMATICAL SYSTEM THEORY

Personal Author(s):

Report Date:

1975-01-01

Pagination or Media Count:

15.0

Abstract:

Algebraic geometry is the natural tool for the study of a broad class of discrete-time nonlinear systems. This class consists of those systems described by polynomial transitions and polynomial constraints in the state set. The examples of nonlinear systems whose structure theory is today at all understood bilinear inputoutput, bilinear in the state are instances of this broad class of systems. In the present paper we show that a number of finiteness results can be derived for systems via the application of standard methods in algebraic geometry. In particular, we obtain practical tests for equality of behaviors, reachability and observability. Finally, we prove a preliminary result which gives conditions under which two systems with same inputoutput behavior are isomorphic. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE