An iterative algorithm for coupled Riccati equations in continuous-time Markovian jump linear systems

Ai-Guo Wu; Hui-Jie Sun; Wanquan Liu

doi:10.1080/00207721.2020.1800130

An iterative algorithm for coupled Riccati equations in continuous-time Markovian jump linear systems

International Journal of Systems Science ◽

10.1080/00207721.2020.1800130 ◽

2020 ◽

Vol 51 (14) ◽

pp. 2690-2702

Author(s):

Ai-Guo Wu ◽

Hui-Jie Sun ◽

Wanquan Liu

Keyword(s):

Linear Systems ◽

Iterative Algorithm ◽

Continuous Time ◽

Riccati Equations ◽

Markovian Jump ◽

Jump Linear Systems ◽

Coupled Riccati Equations ◽

Markovian Jump Linear Systems

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Optimal linear mean square filter for the operation mode of continuous-time Markovian jump linear systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2018.5659 ◽

2019 ◽

Vol 13 (9) ◽

pp. 1309-1319

Author(s):

Fortià V. Vergés ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Operation Mode ◽

Mean Square ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems ◽

Optimal Linear

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Sampled-data control for continuous-time Markovian jump linear systems via a fragmented-delay state and its state-space model

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2019.02.033 ◽

2019 ◽

Vol 356 (10) ◽

pp. 5073-5086 ◽

Cited By ~ 3

Author(s):

JunMin Park ◽

PooGyeon Park

Keyword(s):

State Space ◽

Linear Systems ◽

Continuous Time ◽

State Space Model ◽

Sampled Data ◽

Markovian Jump ◽

Jump Linear Systems ◽

Space Model ◽

Data Control ◽

Markovian Jump Linear Systems

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Stationary Filter For Continuous-Time Markovian Jump Linear Systems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012903436259 ◽

2005 ◽

Vol 44 (3) ◽

pp. 801-815 ◽

Cited By ~ 27

Author(s):

Marcelo D. Fragoso ◽

Nei C. S. Rocha

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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TRANSITION RATE BOUNDS FOR THE STABILITY ROBUSTNESS OF CONTINUOUS-TIME MARKOVIAN JUMP LINEAR SYSTEMS

IFAC Proceedings Volumes ◽

10.3182/20020721-6-es-1901.00398 ◽

2002 ◽

Vol 35 (1) ◽

pp. 383-388

Author(s):

Mehmet Karan ◽

Peng Shi ◽

C. Yalçın Kaya

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Transition Rate ◽

Markovian Jump ◽

Jump Linear Systems ◽

Stability Robustness ◽

Markovian Jump Linear Systems ◽

The Stability

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Output feedback H∞ control of continuous-time infinite Markovian jump linear systems via LMI methods

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068376 ◽

2007 ◽

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Output Feedback ◽

Continuous Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Stationary filter for continuous-time Markovian jump linear systems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1429314 ◽

2004 ◽

Cited By ~ 2

Author(s):

M.D. Fragoso ◽

N.C.S. Rocha

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Output feedback h∞ control of continuous-time infinite markovian jump linear systems via lmi methods

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739499 ◽

2008 ◽

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Output Feedback ◽

Continuous Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Output Feedback $H_\infty$ Control of Continuous-Time Infinite Markovian Jump Linear Systems via LMI Methods

SIAM Journal on Control and Optimization ◽

10.1137/060675162 ◽

2008 ◽

Vol 47 (2) ◽

pp. 950-974 ◽

Cited By ~ 27

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Output Feedback ◽

Continuous Time ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Continuous-time state-feedback H2-control of Markovian jump linear systems via convex analysis

Automatica ◽

10.1016/s0005-1098(98)00145-9 ◽

1999 ◽

Vol 35 (2) ◽

pp. 259-268 ◽

Cited By ~ 124

Author(s):

O.L.V. Costa ◽

J.B.R. do Val ◽

J.C. Geromel

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Convex Analysis ◽

State Feedback ◽

Markovian Jump ◽

H2 Control ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems

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Optimal linear mean square filter for the operation mode of continuous-time Markovian jump linear systems

2017 IEEE 56th Annual Conference on Decision and Control (CDC) ◽

10.1109/cdc.2017.8264548 ◽

2017 ◽

Cited By ~ 2

Author(s):

Fortia V. Verges ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Operation Mode ◽

Mean Square ◽

Markovian Jump ◽

Jump Linear Systems ◽

Markovian Jump Linear Systems ◽

Optimal Linear

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