The Strictly Dissipative Condition of Continuous-Time Markovian Jump Systems with Uncertain Transition Ratesopen access
- Authors
- Lee, Wonil; Shin, Jaewook; Park, Bumyong
- Issue Date
- Mar-2024
- Publisher
- MDPI
- Keywords
- Markovian jump system; linear matrix inequality; dissipativity control
- Citation
- MATHEMATICS, v.12, no.5
- Journal Title
- MATHEMATICS
- Volume
- 12
- Number
- 5
- URI
- https://scholarworks.bwise.kr/kumoh/handle/2020.sw.kumoh/28562
- DOI
- 10.3390/math12050639
- ISSN
- 2227-7390
- Abstract
- This study addresses the problem of strictly dissipative stabilization for continuous-time Markovian jump systems (MJSs) with external disturbances and generally uncertain transition rates that contain completely unknown transition rates and their bound values. A stabilization condition is obtained to guarantee strict dissipativity for the MJSs with partial knowledge in terms of the transition rates. To reduce the conservativity of the proposed condition, we used a boundary condition related to the bounds of the transition rate with slack variables. Finally, two simulation results are presented to describe the feasibility of the proposed controller.
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