Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings

Do, Khac Duc; Nguyen, H.

doi:10.1080/00207179.2018.1482502

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Access Status

Open access

Authors

Do, Khac Duc

Nguyen, H.

Date

2018

Type

Journal Article

Metadata

Show full item record

Citation

Do, K.D. and Nguyen, H. 2018. Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings. International Journal of Control. 93 (3): pp. 599-610.

Source Title

International Journal of Control

DOI

10.1080/00207179.2018.1482502

ISSN

0020-7179

School

School of Civil and Mechanical Engineering (CME)

Remarks

This is an accepted manuscript of an article published by Taylor & Francis in International Journal of Control on 24/06/2018 available online at http://www.tandfonline.com/10.1080/00207179.2018.1482502.

URI

http://hdl.handle.net/20.500.11937/68338

Collection

Curtin Research Publications

Abstract

A Lyapunov-type theorem is developed to study well-posedness and almost surely (Formula presented.)-exponential stability of dynamical systems driven by Lévy processes. Sufficient conditions imposed by the theorem, which are relatively easy to be verified, make it applicable to control design and stability analysis. The theorem is then applied to design tracking controllers to achieve almost surely (Formula presented.)-exponential stability for magnetic bearings under diffuse-jump loads subject to an output tracking constraint.