Mathematical Background

Yan, Xinggang and Spurgeon, Sarah K. and Edwards, Christopher (2017) Mathematical Background. In: Yan, Xinggang and Spurgeon, Sarah K. and Edwards, Christopher, eds. Variable Structure Control of Complex Systems: Analysis and Design. Communications and Control Engineering . Springer, pp. 27-41. ISBN 978-3-319-48961-2. E-ISBN 978-3-319-48962-9. (doi:10.1007/978-3-319-48962-9_2) (KAR id:69529)

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Official URL: https://doi.org/10.1007/978-3-319-48962-9_2

Abstract

This chapter presents the fundamental results which underpin the theoretical analysis presented in this book. Lipschitz functions, comparison functions, Lyapunov stability theory including uniform ultimate boundedness, the Razumikhin theorem, linear output sliding surface design, and the geometric structure of nonlinear systems are covered. Some preliminary mathematical results developed by the authors are also provided.

Item Type:	Book section
DOI/Identification number:	10.1007/978-3-319-48962-9_2
Subjects:	T Technology
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User:	Xinggang Yan
Date Deposited:	11 Oct 2018 12:20 UTC
Last Modified:	05 Nov 2024 12:31 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/69529 (The current URI for this page, for reference purposes)

University of Kent Author Information

Yan, Xinggang.

Creator's ORCID:	https://orcid.org/0000-0003-2217-8398
CReDIT Contributor Roles:

Spurgeon, Sarah K..

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