Controllability, Realization, and Stability of Discrete-Time Systems.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 30, 1971
- Accession Number
- AD0736184
Entities
People
- Leonard S Weiss
Organizations
- United States Naval Research Laboratory