๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New Results on the Stability of Discrete-Time Systems and Applications to Control Problems

โœ Scribed by A Iggidr; M Bensoubaya


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
236 KB
Volume
219
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis


The aim of this article is to present some new stability sufficient conditions for discrete-time nonlinear systems. It shows how to use nonnegative semi-definite functions as Lyapunov functions instead of positive definite ones for studying the stability of a given system. Several examples and some applications to control theory are presented to illustrate the various theorems.


๐Ÿ“œ SIMILAR VOLUMES


On the effect of perturbations on the st
โœ Cรฉsar Cruz-Hernรกndez; Joaquรญn Alvarez-Gallegos; Rafael Castro-Linares ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 122 KB ๐Ÿ‘ 2 views

An analysis of the effect of parameter perturbations on the stability of input-output linearizing controllers for a class of MIMO discrete-time nonlinear systems is presented. A static-state feedback is designed to input-output linearize a system without perturbations, and it is applied to the same

On the determinant of quaternionic polyn
โœ Ricardo Pereira; Paula Rocha ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 197 KB ๐Ÿ‘ 1 views

## Abstract In this paper, we propose a definition of determinant for quaternionic polynomial matrices inspired by the wellโ€known Dieudonnรฉ determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding result

Application of the FETI method to ASCI p
โœ Manoj Bhardwaj; David Day; Charbel Farhat; Michel Lesoinne; Kendall Pierson; Dan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 637 KB

We report on the application of the one-level FETI method to the solution of a class of structural problems associated with the Department of Energy's Accelerated Strategic Computing Initiative (ASCI). We focus on numerical and parallel scalability issues, and discuss the treatment by FETI of severe