Title :
A proof of a discrete stability test via the Lyapunov theorem
Author :
Harn, Ywh-Pyng ; Chen, Chi-Tsong
Author_Institution :
National Taiwan University, Taipeiu, Taiwan
fDate :
6/1/1981 12:00:00 AM
Abstract :
In this note a discrete stability test is proved by using the Lyapunov theorem. The proof is simple and elegant, and is similar to the celebrated proof of the Routh-Hurwitz criterion by Parks [1].
Keywords :
Discrete-time systems; Lyapunov methods; Eigenvalues and eigenfunctions; Equations; Polynomials; Stability; Symmetric matrices; Testing; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1981.1102723