Khalid Benjelloun and El-Kébir Boukas
Article (1997)
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Abstract
This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.
Uncontrolled Keywords
stochastic stability; Markov process; linear systems with jumping parameters; time-delay.
| Subjects: | 2100 Mechanical engineering > 2100 Mechanical engineering |
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| Department: | Department of Mechanical Engineering |
| Funders: | CRSNG/NSERC |
| Grant number: | OGP0036444 |
| PolyPublie URL: | https://publications.polymtl.ca/3374/ |
| Journal Title: | Mathematical Problems in Engineering (vol. 3, no. 3) |
| Publisher: | Hindawi |
| DOI: | 10.1155/s1024123x97000525 |
| Official URL: | https://doi.org/10.1155/s1024123x97000525 |
| Date Deposited: | 06 Nov 2018 13:22 |
| Last Modified: | 27 Sep 2024 11:10 |
| Cite in APA 7: | Benjelloun, K., & Boukas, E.-K. (1997). Stochastic stability of linear time-delay system with Markovian jumping parameters. Mathematical Problems in Engineering, 3(3), 187-201. https://doi.org/10.1155/s1024123x97000525 |
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