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) : Weiss,Leonard

Report Date : 30 DEC 1971

Pagination or Media Count : 28

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 input/output 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)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, NONLINEAR SYSTEMS, DIFFERENCE EQUATIONS, MATRICES(MATHEMATICS), STABILITY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE