Stability of time-delay systems via Lyapunov functions

Mathematical Problems in Engineering. 2002;8(3):197-205 DOI 10.1080/10241230215287


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Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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Carlos F. Alastruey (Department of Automatic Control and Computing Systems, State University of Navarra, Spain)
Manuel de la Sen (Department of Electricity and Electronics, University of the Basque Country, Spain)


Blind peer review

Editorial Board

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Time From Submission to Publication: 26 weeks


Abstract | Full Text

In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming a priori stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input–output description of the original system, a circumstance that facilitates practical applications of the proposed approach.