Accession Number:

ADA106091

Title:

Research in Applied Mathematics Related to Nonlinear System Theory.

Descriptive Note:

Final rept. 10 Sep 77-31 Mar 81,

Corporate Author:

FLORIDA UNIV GAINESVILLE CENTER FOR MATHEMATICAL SYSTEM THEORY

Personal Author(s):

• Kalman,R. E.

Report Date:

1981-09-01

Pagination or Media Count:

16.0

Abstract:

Special emphasis was given to the following areas 1 Finite-dimensional linear system theory by algebraic methods linear systems over a ring, algebraic methods in the study of feedback, polynomial methods for the study of linear systems, F mod G invariant subspaces 2 Infinite-dimensional linear systems realization theory of infinite-dimensional linear systems 3 Nonlinear system theory basic properties of polynomial discrete-time systems and their realization theory and 4 Identification problems in economics study of econometric model building.

Descriptors:

• *NONLINEAR ANALYSIS
• *APPLIED MATHEMATICS
• MATHEMATICAL MODELS
• LINEAR SYSTEMS
• THEORY
• MATHEMATICAL LOGIC
• NONLINEAR SYSTEMS
• FEEDBACK
• POLYNOMIALS
• GEOMETRY
• VECTOR SPACES
• INFINITE SERIES
• ECONOMETRICS
• INVARIANCE
• RINGS(MATHEMATICS)

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE