Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2014.04.003 ◽

2014 ◽

Vol 14 ◽

pp. 1-15 ◽

Author(s):

S. Lakshmanan ◽

Fathalla A. Rihan ◽

R. Rakkiyappan ◽

Ju H. Park

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Markovian Jumping Parameters ◽

Markovian Jumping

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Event-triggered H ∞ state estimation for discrete-time stochastic genetic regulatory networks with Markovian jumping parameters and time-varying delays

Neurocomputing ◽

10.1016/j.neucom.2015.10.017 ◽

2016 ◽

Vol 174 ◽

pp. 912-920 ◽

Author(s):

Qi Li ◽

Bo Shen ◽

Yurong Liu ◽

Fuad E. Alsaadi

Keyword(s):

State Estimation ◽

Discrete Time ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Markovian Jumping Parameters ◽

Markovian Jumping ◽

Stochastic Genetic Regulatory Networks ◽

Event Triggered

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State Estimation for Genetic Regulatory Networks With Mode-Dependent Leakage Delays, Time-Varying Delays, and Markovian Jumping Parameters

IEEE Transactions on NanoBioscience ◽

10.1109/tnb.2013.2294478 ◽

2013 ◽

Vol 12 (4) ◽

pp. 363-375 ◽

Author(s):

Tae H. Lee ◽

S. Lakshmanan ◽

Ju H. Park ◽

P. Balasubramaniam

Keyword(s):

State Estimation ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Markovian Jumping Parameters ◽

Markovian Jumping ◽

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Robust stability analysis of stochastic neural networks with Markovian jumping parameters and probabilistic time-varying delays

10.1002/cplx.21630 ◽

2014 ◽

Vol 21 (5) ◽

pp. 59-72 ◽

Author(s):

Chandrasekar Pradeep ◽

Arunachalam Chandrasekar ◽

Rangasamy Murugesu ◽

Rajan Rakkiyappan

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Robust Stability ◽

Stochastic Neural Networks ◽

Time Varying ◽

Markovian Jumping Parameters ◽

Markovian Jumping ◽

Robust Stability Analysis

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Robust μ-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.02.008 ◽

2012 ◽

Vol 17 (10) ◽

pp. 3894-3905 ◽

Author(s):

Xiaodi Li ◽

R. Rakkiyappan ◽

C. Pradeep

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Markovian Switching ◽

Time Varying ◽

Stochastic Genetic Regulatory Networks

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Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays

Mathematical Biosciences ◽

10.1016/j.mbs.2014.02.008 ◽

2014 ◽

Vol 251 ◽

pp. 30-53 ◽

Author(s):

R. Rakkiyappan ◽

A. Chandrasekar ◽

F.A. Rihan ◽

S. Lakshmanan

Keyword(s):

State Estimation ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Markovian Jumping

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Asymptotic stability analysis of genetic regulatory networks with time-varying delay

2010 Chinese Control and Decision Conference ◽

10.1109/ccdc.2010.5498985 ◽

2010 ◽

Author(s):

Hongjie Li ◽

Xiaochun Yang

Keyword(s):

Stability Analysis ◽

Asymptotic Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Time Varying Delay ◽

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Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

Stochastic Analysis and Applications ◽

10.1080/07362994.2014.962044 ◽

2014 ◽

Vol 32 (6) ◽

pp. 1046-1066 ◽

Author(s):

R. Krishnasamy ◽

P. Balasubramaniam

Keyword(s):

Stability Analysis ◽

Stochastic Stability ◽

Regulatory Networks ◽

Average Dwell Time ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Interval Time ◽

Stochastic Stability Analysis

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Corrigendum to “Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays” [Math. Biosci., 251 (2014) 30–53]

Mathematical Biosciences ◽

10.1016/j.mbs.2014.07.008 ◽

2014 ◽

Vol 255 ◽

pp. 91 ◽

Author(s):

R. Rakkiyappan ◽

A. Chandrasekar ◽

F.A. Rihan ◽

S. Lakshmanan

Keyword(s):

State Estimation ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Markovian Jumping

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New delay-decomposing method for stability analysis of genetic regulatory networks with time-varying delays

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027502 ◽

2017 ◽

Author(s):

Jin Zhang ◽

Jinhai Zhang ◽

Liangdong Guo

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

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Stability analysis and artificial regulation design of genetic regulatory networks with multiple time-varying delays

2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD) ◽

10.1109/fskd.2016.7603200 ◽

2016 ◽

Author(s):

Yan Wang ◽

Lei Guo

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Multiple Time ◽

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