Stability analysis of uncertain discrete-time systems with time-varying delays using Difference-Algebraic Representation

This paper addresses the stability analysis of uncertain discrete-time delayed systems described by Difference-Algebraic Representations (DAR). This kind of representation allows dealing with rational functions of the state as well as uncertain parameters. New delay-dependent Linear Matrix Inequalit...

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Bibliographic Details
Published in:	2022 European Control Conference (ECC) pp. 2069 - 2074
Main Authors:	Peixoto, Marcia L. C., Reis, Gabriela L., Coutinho, Pedro H. S., Torres, Leonardo A. B., Palhares, Reinaldo M.
Format:	Conference Proceeding
Language:	English
Published:	EUCA 12-07-2022
Subjects:	Codes Delays Discrete-time systems Europe Finance Moon Stability analysis
Online Access:	Get full text
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Summary:	This paper addresses the stability analysis of uncertain discrete-time delayed systems described by Difference-Algebraic Representations (DAR). This kind of representation allows dealing with rational functions of the state as well as uncertain parameters. New delay-dependent Linear Matrix Inequalities based-conditions are obtained with a parameter-dependent Lyapunov-Krasovskii functional jointly with the Wirtinger-based summation inequality and the delay-dependent Moon's inequality with a suitable augmented vector. Numerical examples illustrate the potential and effectiveness of the proposed conditions.
DOI:	10.23919/ECC55457.2022.9838021