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- Title
The Strictly Dissipative Condition of Continuous-Time Markovian Jump Systems with Uncertain Transition Rates.
- Authors
Lee, WonIl; Shin, JaeWook; Park, BumYong
- 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.
- Subjects
MARKOVIAN jump linear systems; UNCERTAIN systems; LINEAR matrix inequalities
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 5, p639
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12050639