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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