Stochastic Stability and Stabilization of Singular It Ô-type Markovian Jump Systems with Uncertain Transition Rates: An LMI Approach

Asian Journal of Control ◽

10.1002/asjc.1621 ◽

2017 ◽

Vol 20 (2) ◽

pp. 819-828 ◽

Author(s):

Baoping Jiang ◽

Cunchen Gao ◽

Yonggui Kao

Keyword(s):

Stochastic Stability ◽

Markovian Jump Systems ◽

Transition Rates ◽

Markovian Jump ◽

Lmi Approach ◽

Stability And Stabilization ◽

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Stochastic stability and stabilization conditions of semi-Markovian jump systems with mode transition-dependent sojourn-time distributions

Information Sciences ◽

10.1016/j.ins.2017.01.008 ◽

2017 ◽

Vol 385-386 ◽

pp. 314-324 ◽

Author(s):

Sung Hyun Kim

Keyword(s):

Stochastic Stability ◽

Sojourn Time ◽

Markovian Jump Systems ◽

Mode Transition ◽

Markovian Jump ◽

Stability And Stabilization ◽

Jump Systems ◽

Sojourn Time Distributions

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Stability and Stabilization for Singular Switching Semi-Markovian Jump Systems With Generally Uncertain Transition Rates

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2819654 ◽

2018 ◽

Vol 63 (11) ◽

pp. 3919-3926 ◽

Author(s):

Baoping Jiang ◽

Yonggui Kao ◽

Hamid Reza Karimi ◽

Cunchen Gao

Keyword(s):

Markovian Jump Systems ◽

Transition Rates ◽

Markovian Jump ◽

Stability And Stabilization ◽

Generally Uncertain Transition Rates ◽

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A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.035 ◽

2019 ◽

Vol 342 ◽

pp. 191-205 ◽

Author(s):

Dian Zhang ◽

Jun Cheng ◽

Choon Ki Ahn ◽

Hongjie Ni

Keyword(s):

Stochastic Stability ◽

Continuous Time ◽

Markovian Jump Systems ◽

Time Varying ◽

Markovian Jump ◽

Time Varying Delay ◽

Stability And Stabilization ◽

Jump Systems ◽

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Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates

International Journal of Systems Science ◽

10.1080/00207721.2021.2008043 ◽

2021 ◽

pp. 1-12

Author(s):

Fang Liu ◽

Qianyi Liu ◽

Weiru Guo ◽

Yong Li

Keyword(s):

Stability Analysis ◽

Stochastic Stability ◽

Markovian Jump Systems ◽

Time Varying ◽

Transition Rates ◽

Markovian Jump ◽

Partially Known Transition Rates ◽

Stochastic Stability Analysis ◽

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Finite-time stochastic stability and stabilization of linear Markovian jump systems

2011 Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2011.5968802 ◽

2011 ◽

Author(s):

Zhiqiang Zuo ◽

Yi Liu ◽

Yijing Wang

Keyword(s):

Stochastic Stability ◽

Finite Time ◽

Markovian Jump Systems ◽

Markovian Jump ◽

Stability And Stabilization ◽

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Stochastic stability of nonlinear discrete-time Markovian jump systems with time-varying delay and partially unknown transition rates

Neurocomputing ◽

10.1016/j.neucom.2015.10.081 ◽

2016 ◽

Vol 175 ◽

pp. 450-458 ◽

Author(s):

L.V. Hien ◽

N.T. Dzung ◽

H. Trinh

Keyword(s):

Discrete Time ◽

Stochastic Stability ◽

Markovian Jump Systems ◽

Time Varying ◽

Transition Rates ◽

Markovian Jump ◽

Time Varying Delay ◽

Jump Systems ◽

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Multiple integral techniques for stochastic stability analysis of Markovian jump systems: A unified uncertain transition rates

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.11.037 ◽

2021 ◽

Author(s):

Yufeng Tian ◽

Zhanshan Wang

Keyword(s):

Stability Analysis ◽

Stochastic Stability ◽

Multiple Integral ◽

Markovian Jump Systems ◽

Transition Rates ◽

Markovian Jump ◽

Stochastic Stability Analysis ◽

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Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3146 ◽

2014 ◽

Vol 25 (10) ◽

pp. 1423-1437 ◽

Author(s):

Jianhua Wang ◽

Qingling Zhang ◽

Xing-Gang Yan ◽

Ding Zhai

Keyword(s):

Discrete Time ◽

Stochastic Stability ◽

Transition Probabilities ◽

Markovian Jump Systems ◽

Markovian Jump ◽

Singular Markovian Jump Systems ◽

Stability And Stabilization ◽

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On Finite-Time Stochastic Stability and Stabilization of Markovian Jump Systems Subject to Partial Information on Transition Probabilities

Circuits Systems and Signal Processing ◽

10.1007/s00034-012-9420-3 ◽

2012 ◽

Vol 31 (6) ◽

pp. 1973-1983 ◽

Author(s):

Zhiqiang Zuo ◽

Hongchao Li ◽

Yi Liu ◽

Yijing Wang

Keyword(s):

Stochastic Stability ◽

Finite Time ◽

Partial Information ◽

Transition Probabilities ◽

Markovian Jump Systems ◽

Markovian Jump ◽

Stability And Stabilization ◽

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Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.10.049 ◽

2018 ◽

Vol 321 ◽

pp. 512-525 ◽

Author(s):

Zhiguo Yan ◽

Yunxia Song ◽

Xiaoping Liu

Keyword(s):

Finite Time ◽

Markovian Jump Systems ◽

Transition Rates ◽

Time Stability ◽

Markovian Jump ◽

Finite Time Stability ◽

Stability And Stabilization ◽

Generally Uncertain Transition Rates ◽

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