The Strictly Dissipative Condition of Continuous-Time Markovian Jump Systems with Uncertain Transition Rates

WonIl Lee, JaeWook Shin and BumYong Park ()
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WonIl Lee: School of Electronic Engineering, Kumoh National Institute of Technology, Gumi-si 39177, Republic of Korea
JaeWook Shin: School of Electronic Engineering, Kumoh National Institute of Technology, Gumi-si 39177, Republic of Korea
BumYong Park: Department of IT Convergence Engineering, Kumoh National Institute of Technology, Gumi-si 39177, Republic of Korea

Mathematics, 2024, vol. 12, issue 5, 1-14

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.

Keywords: Markovian jump system; linear matrix inequality; dissipativity control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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