Asynchronous dissipative control design for semi-Markovian jump systems with uncertain probability distribution functions of sojourn-time

Nguyen, Ngoc Hoai An; Kim, Sung Hyun

doi:10.1016/j.amc.2020.125921

Cited by 2 publications

(2 citation statements)

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“…Furthermore, the dissipativity performance can be applied to the H ∞ and passivity performance [36]. Based on these properties, many researchers have focused on the dissipativity problem in the stabilization of interconnected systems, switched systems, and Markovian jump systems [37][38][39][40]. Ref.…”

Section: Introductionmentioning

confidence: 99%

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

Lee,

Shin,

Park

2024

Mathematics

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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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Section: Introductionmentioning

confidence: 99%

“…Ref. [40] proposed an asynchronous dissipative controller for semi-MJSs using distribution of the sojourn time. To the best of our knowledge, the dissipativity control for continuous-time MJSs with GUTRs has not yet been analyzed, thus forming the motivation of our study.…”

Section: Introductionmentioning

confidence: 99%