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Robust stability of nonlinear piecewise deterministic systems under matching conditions

El-Kébir Boukas and H. Yang

Article (1997)

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Abstract

This paper deals with the robustness of the class of nonlinear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption that all the modes of the markovian jump process (disturbance) communicate, the complete access to the system state and the boundedness of the uncertainties, a sufficient condition for stochastic stability of this class of systems is given. An example is presented to validate the proposed results.

Uncontrolled Keywords

nonlinear piecewise deterministic system; stochastic stability; Markov process; matching conditions.

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
Department: Department of Chemical Engineering
PolyPublie URL: https://publications.polymtl.ca/3373/
Journal Title: Mathematical Problems in Engineering (vol. 3, no. 3)
Publisher: Hindawi
DOI: 10.1155/s1024123x97000537
Official URL: https://doi.org/10.1155/s1024123x97000537
Date Deposited: 06 Nov 2018 13:20
Last Modified: 09 Apr 2024 00:57
Cite in APA 7: Boukas, E.-K., & Yang, H. (1997). Robust stability of nonlinear piecewise deterministic systems under matching conditions. Mathematical Problems in Engineering, 3(3), 203-215. https://doi.org/10.1155/s1024123x97000537

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