Controllability, Realization, and Stability of Discrete-Time Systems.
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics