Investigating the effects of time-delays on stochastic stability and designing l1-gain controllers for positive discrete-time Markov jump linear systems with time-delay

$L_1$-Stochastic Stability and $L_1$-Gain Performance of Positive Markov Jump Linear Systems With Time-Delays: Necessary and Sufficient Conditions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2017.2671035 ◽

2017 ◽

Vol 62 (7) ◽

pp. 3634-3639 ◽

Cited By ~ 38

Author(s):

Shuqian Zhu ◽

Qing-Long Han ◽

Chenghui Zhang

Keyword(s):

Linear Systems ◽

Stochastic Stability ◽

Time Delays ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Markov Jump ◽

Jump Linear Systems ◽

Necessary And Sufficient

Stochastic finite-time stabilization of discrete-time positive Markov jump linear systems with time-delay

2016 35th Chinese Control Conference (CCC) ◽

10.1109/chicc.2016.7553328 ◽

2016 ◽

Author(s):

Lang Ma ◽

Shuqian Zhu ◽

You Xu ◽

Bo Wang

Keyword(s):

Time Delay ◽

Linear Systems ◽

Discrete Time ◽

Finite Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Finite Time Stabilization

Delay-dependent stochastic finite-time ℓ 1 -gain filtering for discrete-time positive Markov jump linear systems with time-delay

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2017.07.008 ◽

2017 ◽

Vol 354 (15) ◽

pp. 6894-6913 ◽

Cited By ~ 10

Author(s):

Shuqian Zhu ◽

Bo Wang ◽

Chenghui Zhang

Keyword(s):

Time Delay ◽

Linear Systems ◽

Discrete Time ◽

Finite Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Delay Dependent

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 ◽

Robust Stability And Stabilization

Stability And Stabilization ◽

Stochastic stability of positive Markov jump linear systems with fixed dwell time

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2021.101014 ◽

2021 ◽

Vol 40 ◽

pp. 101014

Author(s):

Jie Lian ◽

Renke Wang

Keyword(s):

Linear Systems ◽

Stochastic Stability ◽

Dwell Time ◽

Markov Jump ◽

Jump Linear Systems ◽

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 ◽

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 ◽

Stochastic stability of semi-Markov jump linear systems with uncertain transition rates

2015 23rd Iranian Conference on Electrical Engineering ◽

10.1109/iraniancee.2015.7146322 ◽

2015 ◽

Author(s):

Mona Faraji-Niri ◽

Mohammad-Reza Jahed-Motlagh

Keyword(s):

Linear Systems ◽

Stochastic Stability ◽

Transition Rates ◽

Markov Jump ◽

Jump Linear Systems ◽

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 ◽

Static Output

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 ◽