Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems

Mehmet Karan; Peng Shi; C. Yalçın Kaya

doi:10.1016/j.automatica.2006.07.002

Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems

Automatica ◽

10.1016/j.automatica.2006.07.002 ◽

2006 ◽

Vol 42 (12) ◽

pp. 2159-2168 ◽

Cited By ~ 166

Author(s):

Mehmet Karan ◽

Peng Shi ◽

C. Yalçın Kaya

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Stochastic Stability ◽

Transition Probability ◽

Markovian Jump ◽

Jump Linear Systems ◽

Probability Bounds ◽

Stability Robustness ◽

Markovian Jump Linear Systems

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On Optimal Fault Detection for Discrete-time Markovian Jump Linear Systems

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2013.00926 ◽

2014 ◽

Vol 39 (6) ◽

pp. 926-932 ◽

Cited By ~ 1

Author(s):

Yue-Yang LI ◽

Mai-Ying ZHONG

Keyword(s):

Fault Detection ◽

Linear Systems ◽

Discrete Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Monte Carlo TD(λ)-methods for the optimal control of discrete-time Markovian jump linear systems

Automatica ◽

10.1016/s0005-1098(01)00215-1 ◽

2002 ◽

Vol 38 (2) ◽

pp. 217-225 ◽

Cited By ~ 8

Author(s):

Oswaldo L.V. Costa ◽

Julio C.C. Aya

Keyword(s):

Optimal Control ◽

Monte Carlo ◽

Linear Systems ◽

Discrete Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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A Convex Programming Approach to the H/sub 2/-Control of Discrete-Time Markovian Jump Linear Systems

Proceedings of 1995 34th IEEE Conference on Decision and Control ◽

10.1109/cdc.1995.478573 ◽

2005 ◽

Author(s):

O.L.V. Costa ◽

J.B.R. do Val ◽

J.C. Geromel

Keyword(s):

Linear Systems ◽

Convex Programming ◽

Discrete Time ◽

Programming Approach ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Robust stochastic stability and delayed-state-feedback stabilisation of uncertain Markovian jump linear systems with random time delays

IET Control Theory and Applications ◽

10.1049/iet-cta.2014.1138 ◽

2015 ◽

Vol 9 (12) ◽

pp. 1878-1886 ◽

Cited By ~ 9

Author(s):

Li Qiu ◽

Yang Shi ◽

Fengqi Yao ◽

Bugong Xu

Keyword(s):

Linear Systems ◽

Stochastic Stability ◽

Time Delays ◽

State Feedback ◽

Random Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems ◽

Delayed State Feedback ◽

Feedback Stabilisation

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Recursive robust regulator for discrete-time Markovian jump linear systems via penalty game approach

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717301 ◽

2010 ◽

Cited By ~ 9

Author(s):

Joao P. Cerri ◽

Marco H. Terra ◽

Joao Y. Ishihara

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Delay-Dependent Stability and Robust H ∞ Control for Discrete-Time Markovian Jump Linear Systems with Mode-Dependent Delays

2008 3rd International Conference on Innovative Computing Information and Control ◽

10.1109/icicic.2008.213 ◽

2008 ◽

Cited By ~ 1

Author(s):

Xiuming Yao ◽

Changhong Wang ◽

Fu Zhao

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems ◽

Delay Dependent ◽

Delay Dependent Stability

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Optimal Output Regulation for Discrete-Time Switched and Markovian Jump Linear Systems

SIAM Journal on Control and Optimization ◽

10.1137/060662290 ◽

2008 ◽

Vol 47 (1) ◽

pp. 40-72 ◽

Cited By ~ 54

Author(s):

Ji-Woong Lee ◽

Pramod P. Khargonekar

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Output Regulation ◽

Markovian Jump ◽

Jump Linear Systems ◽

Optimal Output ◽

Markovian Jump Linear Systems

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Uniform Disturbance Attenuation for Markovian Jump Linear Systems in Discrete Time

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582265 ◽

2006 ◽

Author(s):

Ji-Woong Lee ◽

G.E. Dullerud

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Disturbance Attenuation ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Information filtering and array algorithms for discrete-time Markovian jump linear systems subject to parametric uncertainties

Information Sciences ◽

10.1016/j.ins.2016.06.022 ◽

2016 ◽

Vol 369 ◽

pp. 287-303 ◽

Cited By ~ 5

Author(s):

Gildson Q. de Jesus ◽

Roberto S. Inoue ◽

Marco H. Terra

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Information Filtering ◽

Parametric Uncertainties ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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State and mode feedback control strategy for discrete‐time Markovian jump linear systems with time‐varying controllable mode transition probability matrix

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4952 ◽

2020 ◽

Vol 30 (8) ◽

pp. 3501-3519

Author(s):

Jin Zhu ◽

Xinghua Wu ◽

Chaoxiang Li ◽

Geir E. Dullerud

Keyword(s):

Discrete Time ◽

Control Strategy ◽

Transition Probability ◽

Transition Probability Matrix ◽

Time Varying ◽

Mode Transition ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems ◽

Feedback Control Strategy

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