
Accession Number : AD0736184
Title : Controllability, Realization, and Stability of DiscreteTime 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, timevarying, discretetime system; Finding sufficient conditions for complete reachability of nonlinear discretetime systems; Relating reachability to the concept of discrete Pfaffian systems; Obtaining a minimaldimension difference equation (with possibly variable coefficients) from a given input/output function of a system; Finding necessary and sufficient conditions for Lyapunov stability and finitetime stability of nonlinear difference equations; Giving an algorithm for determining whether a linear difference equation is stable in the finitetime 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