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Abstract
This paper deals with stochastic stability of systems with Markovian jumps arid Brownian motion. Mainly, we present sufficient conditions for quadratic stabilization of Ito type stochastic linear and nonlinear systems with Markovian jumps and Brownian motion using state feedback control. We also prove the guaranteed cost property of the proposed control strategy for the linear case.
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| 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/3372/ |
| Journal Title: | Mathematical Problems in Engineering (vol. 3, no. 2) |
| Publisher: | Hindawi |
| DOI: | 10.1155/s1024123x97000513 |
| Official URL: | https://doi.org/10.1155/s1024123x97000513 |
| Date Deposited: | 06 Nov 2018 13:19 |
| Last Modified: | 07 Apr 2025 12:29 |
| Cite in APA 7: | Boukas, E.-K., & Yang, H. (1996). Stability of stochastic systems with jumps. Mathematical Problems in Engineering, 3(2), 173-185. https://doi.org/10.1155/s1024123x97000513 |
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