Robust stability, ℋ2 analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix

R.C.L.F. Oliveira; A.N. Vargas; J.B.R. do Val; P.L.D. Peres

doi:10.1080/00207170802136178

Robust stability, ℋ2 analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix

International Journal of Control ◽

10.1080/00207170802136178 ◽

2009 ◽

Vol 82 (3) ◽

pp. 470-481 ◽

Cited By ~ 34

Author(s):

R.C.L.F. Oliveira ◽

A.N. Vargas ◽

J.B.R. do Val ◽

P.L.D. Peres

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Robust stability and stabilization of discrete-time infinite Markov jump linear systems

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074904 ◽

2009 ◽

Cited By ~ 1

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

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Robust stability and stabilization of discrete-time Markov jump linear systems with partly unknown transition probability matrix

2013 American Control Conference ◽

10.1109/acc.2013.6580905 ◽

2013 ◽

Cited By ~ 5

Author(s):

Marcio F. Braga ◽

Cecilia F. Morais ◽

Ricardo C. L. F. Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Transition Probability ◽

Transition Probability Matrix ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

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Robust Stability and Control of Uncertain Discrete-Time Markov Jump Linear Systems

Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005. ◽

10.1109/cca.2005.1507164 ◽

2005 ◽

Cited By ~ 1

Author(s):

C.E. de Souza

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Stability And Control ◽

Markov Jump Linear Systems ◽

And Control

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Robust stability and stabilization of continuous-time infinite Markov jump linear systems

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074902 ◽

2009 ◽

Cited By ~ 2

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Continuous Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

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State estimation for discrete-time Markov jump linear systems with multiplicative noises and delayed mode measurements

Digital Signal Processing ◽

10.1016/j.dsp.2014.04.002 ◽

2014 ◽

Vol 30 ◽

pp. 27-36 ◽

Cited By ~ 8

Author(s):

Wei Liu ◽

Guangzhen Hu

Keyword(s):

State Estimation ◽

Linear Systems ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Multiplicative Noises ◽

Markov Jump Linear Systems

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Continuous and discrete time filters for Markov jump linear systems with Gaussian observations

Proceedings of 8th Workshop on Statistical Signal and Array Processing ◽

10.1109/ssap.1996.534901 ◽

2002 ◽

Cited By ~ 2

Author(s):

V. Krishnamurthy ◽

J. Evans

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Static Output Constrained Control for Discrete-Time Hidden Markov Jump Linear Systems

IEEE Access ◽

10.1109/access.2020.2985341 ◽

2020 ◽

Vol 8 ◽

pp. 62969-62979 ◽

Cited By ~ 1

Author(s):

Yeison A. Zabala ◽

Oswaldo L. V. Costa

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Hidden Markov ◽

Constrained Control ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Static Output

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ℋ2 control of discrete-time Markov jump linear systems with uncertain transition probability matrix: improved linear matrix inequality relaxations and multi-simplex modelling

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.1015 ◽

2013 ◽

Vol 7 (12) ◽

pp. 1665-1674 ◽

Cited By ~ 27

Author(s):

Cecília F. Morais ◽

Pedro L.D. Peres ◽

Márcio F. Braga ◽

Ricardo C.L.F. Oliveira

Keyword(s):

Linear Matrix Inequality ◽

Linear Systems ◽

Discrete Time ◽

Transition Probability ◽

Transition Probability Matrix ◽

Linear Matrix ◽

Matrix Inequality ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Balanced Truncation for Discrete Time Markov Jump Linear Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2010.2060241 ◽

2010 ◽

Vol 55 (11) ◽

pp. 2606-2611 ◽

Cited By ~ 20

Author(s):

Georgios Kotsalis ◽

Anders Rantzer

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Balanced Truncation ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Reduced-order dynamic output feedback control of uncertain discrete-time Markov jump linear systems

International Journal of Control ◽

10.1080/00207179.2016.1245871 ◽

2016 ◽

Vol 90 (11) ◽

pp. 2368-2383 ◽

Cited By ~ 14

Author(s):

Cecília F. Morais ◽

Márcio F. Braga ◽

Ricardo C. L. F. Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Discrete Time ◽

Output Feedback ◽

Output Feedback Control ◽

Dynamic Output Feedback ◽

Markov Jump ◽

Jump Linear Systems ◽

Reduced Order ◽

Markov Jump Linear Systems

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