Non-fragile synchronization of genetic regulatory networks with randomly occurring controller gain fluctuation

Ali, M. Syed; Agalya, R.; Hong, Keum‐Shik

doi:10.1016/j.cjph.2019.09.019

Cited by 18 publications

(4 citation statements)

References 43 publications

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“…Due to the importance of such neural network models, the investigations of their qualitative properties has attracted the attention of many experts in applied mathematics, biology, neuroscience, control science, and cybernetics. Most of the researchers used different classes of differential equations as models of genetic regulatory systems [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays

Cao,

Stamov,

Stamov

et al. 2023

Fractal Fract

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This paper studies gene regulatory networks (GRNs) with distributed delays. The essential concept of practical stability of the genes is introduced. We investigate the problems of practical stability and global practical exponential stability of the GRN model under an impulsive control. New practical stability criteria are proposed by designing appropriate impulsive controllers via the Lyapunov functions approach. In the design of the impulsive controller, we consider the effect of impulsive perturbations at fixed times and distributed delays on the stability of the considered GRNs. Several numerical examples are also presented to justify the proposed criteria.

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Section: Introductionmentioning

confidence: 99%

Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays

Cao,

Stamov,

Stamov

et al. 2023

Fractal Fract

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“…However, in general, the parameters may be perturbed to some extent due to factors such as component aging and internal noise, leading to system vulnerability. Therefore, some scholars have begun to focus on the non-fragile state estimation and synchronization of GRNs, and several results have been achieved [32][33][34] . For example, Li 𝑒𝑡 𝑎𝑙.…”

Section: Introductionmentioning

confidence: 99%

Non-fragile state estimation for reaction-diffusion genetic regulatory networks with mode-dependent timevarying delays

Liu,

Song,

Song

et al. 2023

Complex Engineering Systems

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This paper investigates the problem of non-fragile state estimation for a class of reaction-diffusion genetic regulatory networks with mode-dependent time-varying delays and Markovian jump parameters. First, the Markov chain with partially unknown probabilities is used in this paper to describe the switching between system modes, which can make the model more generalizable. Moreover, considering the possible gain variations, we design a non-fragile state estimator that makes the estimation performance non-fragile to gain variations, thus guaranteeing the estimation performance. Sufficient conditions that ensure the asymptotic stability of the estimation error can be derived by using the Lyapunov stabilization theory and several inequality treatments. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed estimator design scheme.

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“…GRN model is seen as a complex dynamical network. There are usually two types of network models, such as the differential equation (continuous-time) model 5,6 and the boolean (discrete-time) model, 7,8 which are improved from gene regulatory networks. Among them, the model of the differential equation is commonly used to describe the process of gene regulation.…”

Section: Introductionmentioning

confidence: 99%

Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays

Arjunan

Anbalagan

Al‐Mdallal

2022

Math Methods in App Sciences

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In this paper, we aim to establish the uniform stability criteria for fractional-order time-delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay-dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.

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Non-fragile synchronization of genetic regulatory networks with randomly occurring controller gain fluctuation

Cited by 18 publications

References 43 publications

Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays

Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays

Non-fragile state estimation for reaction-diffusion genetic regulatory networks with mode-dependent timevarying delays

Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays

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