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

S Lakshmanan, FA Rihan, R Rakkiyappan… - … analysis: Hybrid systems, 2014 - Elsevier
In this paper, we investigate the stability and robust stability criteria for genetic regulatory
networks with interval time-varying delays and Markovian jumping parameters. The genetic …

Stabilization of Markovian jump Boolean control networks via sampled-data control

B Chen, J Cao, G Lu… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article, we study the finite-time stabilization and the asymptotic stabilization with
probability one of Markovian jump Boolean control networks (MJBCNs) by sampled-data …

Stabilization of Markovian jump Boolean control networks via event-triggered control

B Chen, J Cao, G Lu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we investigate the stabilization of Markovian jump Boolean control networks by
a kind of event-triggered control, which is essentially an intermittent control scheme. First, a …

Sampled-data state estimation for genetic regulatory networks with time-varying delays

R Anbuvithya, K Mathiyalagan, R Sakthivel, P Prakash - Neurocomputing, 2015 - Elsevier
This study examines the sampled-data state estimation problem for genetic regulatory
networks (GRNs) with time-varying delays. Instead of the continuous measurements, the …

Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays

W Zhang, J Fang, Y Tang - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, the stability analysis problem is investigated for a class of Markovian jumping
genetic regulatory networks (GRNs) with mixed time delays (discrete time delays and …

Finite-time pinning stabilization of Markovian jump Boolean networks

Q Zhang, J Feng, Y Yan - Journal of the Franklin Institute, 2020 - Elsevier
Finite-time stabilization problem of Markovian jump Boolean networks is investigated via
pinning control in this paper. Firstly, on the basis of converting Markovian jump Boolean …

Design of state estimator for genetic regulatory networks with time-varying delays and randomly occurring uncertainties

S Lakshmanan, JH Park, HY Jung… - Biosystems, 2013 - Elsevier
In this paper, the design problem of state estimator for genetic regulatory networks with time
delays and randomly occurring uncertainties has been addressed by a delay decomposition …

New robust stability analysis for genetic regulatory networks with random discrete delays and distributed delays

W Zhang, J Fang, Y Tang - Neurocomputing, 2011 - Elsevier
This paper investigates the delay-probability-distribution-dependent stability problem of
stochastic genetic regulatory networks (GRNs) with random discrete time delays and …

Robust delay‐probability‐distribution‐dependent stability of uncertain stochastic genetic regulatory networks with random discrete delays and distributed delays

W Wang, S Zhong, F Liu… - International Journal of …, 2014 - Wiley Online Library
This study is concerned with the problem of robust delay‐probability‐distribution‐dependent
stability of uncertain stochastic genetic regulatory networks with mixed time‐varying delays …

Finite-time H∞ control for discrete-time genetic regulatory networks with random delays and partly unknown transition probabilities

A Liu, L Yu, D Zhang, W Zhang - Journal of the Franklin Institute, 2013 - Elsevier
The finite-time H∞ control problem is investigated in this paper for a class of discrete-time
genetic regulatory networks (GRNs) with random delays. The time-delay is modeled as a …