Accession Number:

AD0736184

Title:

Controllability, Realization, and Stability of Discrete-Time Systems.

Descriptive Note:

Final rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1971-12-30

Pagination or Media Count:

28.0

Abstract:

The following problems are discussed and solved in the paper Finding computable, necessary and sufficient conditions for complete reachability and complete observability of a linear, time-varying, discrete-time system Finding sufficient conditions for complete reachability of nonlinear discrete-time systems Relating reachability to the concept of discrete Pfaffian systems Obtaining a minimal-dimension difference equation with possibly variable coefficients from a given inputoutput function of a system Finding necessary and sufficient conditions for Lyapunov stability and finite-time stability of nonlinear difference equations Giving an algorithm for determining whether a linear difference equation is stable in the finite-time sense. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE