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 |
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| 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: | 23 May 2023 12:52 |
| 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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