Necessary Stability Conditions for Linear Difference Equations in Continuous Time

A study on the stability of continuous-time difference equations is presented. Based on the construction of the analogous of the delay Lyapunov matrix for this class of equations, a complete type Lyapunov-Krasovskii functional is proposed, that allows to present necessary stability conditions. Examp...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 63; no. 12; pp. 4405 - 4412
Main Authors: Campos, Emanuel Rocha, Mondie, Sabine, Di Loreto, Michael
Format: Journal Article
Language:English
Published: New York IEEE 01.12.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects:
Automatic Control Engineering
Computer Science
Delays
Difference equations
Linear matrix inequalities
Linear theory
Lyapunov–Krasovskii
Mathematical analysis
Mathematical model
Stability
Stability criteria
Symmetric matrices
time-delay systems
time-delay systems
Lyapunov–Krasovskii
Linear theory
ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary:A study on the stability of continuous-time difference equations is presented. Based on the construction of the analogous of the delay Lyapunov matrix for this class of equations, a complete type Lyapunov-Krasovskii functional is proposed, that allows to present necessary stability conditions. Examples are given throughout the paper to illustrate these conditions.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2822667