Author/Authors :
KRIRIM, S. Sidi Mohamed Ben Abdellah University - Faculty of Sciences Dhar El Mehraz - Department of Physics, Morocco , HMAMED, A. Sidi Mohamed Ben Abdellah University - Faculty of Sciences Dhar El Mehraz - Department of Physics, Morocco
Title Of Article :
On Stability And Performance Analysis Of Discrete-time Uncertain Systems Via PolynomiallyParameter-Dependent Lyapunov Functions
Abstract :
This paper presents a new linear matrix inequality based stability result for uncertain discretetime linear system. which using Homogeneous Polynomially Parameter-Dependent Lyapunov Functions and a larger number of slack variables. This technique has two advantages: (1) possible to yield less conservative results, which is shown via a numerical examples; and (2) flexible to cope with more complicated problems, which is illustrated by presenting a new H∞ performance condition. It is anticipated that the idea behind this paper can be further extended to deal with synthesis problems.
NaturalLanguageKeyword :
Convex polytopic uncertainty , Discretetime systems , Homogeneous polynomially parameterdependent Lyapunov functions , Linear matrix inequalities (LMIs)
JournalTitle :
Mediterranean Telecommunications Journal
