𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A simplified stability test for 1-D discrete systems

✍ Scribed by P.S. Kamat

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
397 KB
Volume
321
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

This paper shows that the stability tests for 1-D discrete systems using the transformation p = (z + z-') and properties of Chebyshev polynomials developed previously can be directly obtained from the z-domain continued fraction expansion based on the functions (z+ 1) and (z-' + 1) on an alternate basis. Furthermore, it is shown that the root distribution of a polynomial with real coeficient can be determined by the same algorithm.

πŸ“œ SIMILAR VOLUMES

Stability, instability and aperiodicity
Stability, instability and aperiodicity tests for linear discrete systems
✍ Edward Szaraniec πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 302 KB

The system characteristic polynomial is replaced by its inverse which is decomposed as a combination of lower-degree and lower-degree inverse polynomials. A sequence of polynomials of descending degree is determined by successive decomposition. A necessary and sufficient condition of stability as w

Implementation of a stability test of 1-
Implementation of a stability test of 1-D discrete system based on Schussler's theorem and some consequent coefficient conditions
✍ V. Ramachandran; C.S. Gargour πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 845 KB

## Based on Schussler's theorem, some new properties ofpolynomials containing zeros inside the unit circle are obtained. These properties give rise to (i) a new stability test of 1-D discrete systems, and (ii) some necessary coeficient conditions that have to be satisfied by the denominator polynomi

H∞-type control for discrete-time stocha
H∞-type control for discrete-time stochastic systems
✍ A. El Bouhtouri; D. Hinrichsen; A. J. Pritchard πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 210 KB πŸ‘ 1 views

In this paper we consider discrete-time, linear stochastic systems with random state and input matrices which are subjected to stochastic disturbances and controlled by dynamic output feedback. The aim is to develop an H-type theory for such systems. For this class of systems a stochastic bounded re