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Design of robust controller for linear systems with Markovian jumping parameters

Khalid Benjelloun, El-Kébir Boukas, O. L. V. Costa and P. Shi

Article (1998)

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Abstract

This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system's state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.

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Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
Department: Department of Mechanical Engineering
Funders: CRSNG/NSERC, Australian Research Council
Grant number: OGP0036444, A4932206
PolyPublie URL: https://publications.polymtl.ca/3375/
Journal Title: Mathematical Problems in Engineering (vol. 4, no. 4)
Publisher: Hindawi
DOI: 10.1155/s1024123x98000830
Official URL: https://doi.org/10.1155/s1024123x98000830
Date Deposited: 06 Nov 2018 13:24
Last Modified: 08 Apr 2025 01:30
Cite in APA 7: Benjelloun, K., Boukas, E.-K., Costa, O. L. V., & Shi, P. (1998). Design of robust controller for linear systems with Markovian jumping parameters. Mathematical Problems in Engineering, 4(4), 269-288. https://doi.org/10.1155/s1024123x98000830

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