A Sampled-data Approach to Robust H∞ State Estimation for Genetic Regulatory Networks with Random Delays

Chen, Weilu; Chen, Dongyan; Hu, Jun; Liang, Jinling; Dobaie, Abdullah M.

doi:10.1007/s12555-017-0106-2

Cited by 31 publications

(9 citation statements)

References 41 publications

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“…Generally, time-delay is inevitable in the GRNs owing to the slow reaction processes of transcription, translation and the finite switching speed of the amplifier. A variety of results for GRNs with time-delay have been obtained as described in [10]- [12], [14], [19], [20], [30], [31]. The sufficient criteria have been derived in terms of LMIs for delayed GRNs by applying Lyapunov stability theory, where the delay is allowed to be constant in [10].…”

Section: Introductionmentioning

confidence: 99%

Global Dissipativity for Stochastic Genetic Regulatory Networks With Time-Delays

et al. 2020

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Genetic Regulatory Networks (GRNs) play an important role for the development and evolution of biological systems. On the basis of the development for DNA microarray technologies, a profound study for GRNs becomes possible at genome scale. In this article, the global dissipativity and corresponding attractive set for the GRNs with stochastic disturbances and time-delays are investigated based on Lyapunov theory. Stochastic disturbances are considered into both the feedback regulation process and the translation process for reflecting the inherent noise perturbations on a foundation of factual knowledge. Through the resort to the several appropriate Lyapunov-Krasovskii Functionals (LKFs) combining with Itô's formula and different inequality techniques, some corresponding sufficient conditions and the attractive set are obtained for the GRNs in linear matrix inequality form, which are easy to verify by the numerical software. Finally, one three-node GRN is proposed and analyzed to illustrate the validity of the proposed results by using the Field-Programmable Gate Array (FPGA) hardware simulation tool.

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Section: Introductionmentioning

confidence: 99%

Global Dissipativity for Stochastic Genetic Regulatory Networks With Time-Delays

et al. 2020

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“…This is owing to the intrinsic fluctuations, extrinsic disturbances, data errors, using an approximate system model for simplicity, and so on. Hence, an increasing number of studies have investigated the robust problem of uncertain GRNs with time delays [11][12][13][14][15][16][17][18][19][20][21][22][23][24]. For instance, the robust stability analysis for various kinds of delayed GRNs with parametric uncertainties are studied in [11][12][13][14][15][16][17][18][19][20], including T-S fuzzy GRNs, Markovian jumping GRNs, stochastic GRNs, etc.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, the robust stability analysis for various kinds of delayed GRNs with parametric uncertainties are studied in [11][12][13][14][15][16][17][18][19][20], including T-S fuzzy GRNs, Markovian jumping GRNs, stochastic GRNs, etc. Besides, by using ∞ control and sample-data method, [21][22][23][24] investigate the robust ∞ control and state estimation problem for uncertain delayed GRNs.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Robust Stability of Uncertain Genetic Regulatory Networks with Time‐Varying Delays and Reaction‐Diffusion Terms

et al. 2019

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This study seeks to address the finite-time robust stability of delayed genetic regulatory networks (GRNs) with uncertain parameters and reaction-diffusion terms. We employ an appropriate Lyapunov-Krasovskii functional to derive some less conservative stability criteria for GRNs under Dirichlet boundary conditions, which are delay-dependent, delay-derivative-dependent, and reaction-diffusion-dependent. The time-varying delays and their derivatives are both bounded with lower and upper bounds, where the lower bound of them can be zero or non-zero. In addition, we define some new variables to deal with uncertain parameters. Moreover, Jensen’s integral inequality, Wirtinger-type integral inequality, reciprocally convex combination inequality, Gronwall inequality, and Green formula are employed to handle integral terms. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the obtained stability criteria.

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“…Sampled-data control has many benefits such as easy installation and maintenance, low operation fee, and so on. Therefore, it is natural to have a meteoric rise of research field on the sampled-data control scheme [21][22][23][24][25][26][27][28][29][30][31][32]. In [21], an aperiodic sampleddata controller was designed for controlling the two-wheel inverted pendulum in the T-S fuzzy model with disturbances on actuators where the proposed controller satisfies verystrict passivity.…”

Section: Introductionmentioning

confidence: 99%

“…In [21], an aperiodic sampleddata controller was designed for controlling the two-wheel inverted pendulum in the T-S fuzzy model with disturbances on actuators where the proposed controller satisfies verystrict passivity. In [22], H ∞ state estimator for genetic regulatory networks with random delays, uncertainties, and disturbances was designed using sampled-data of the concentrations of mRNAs and proteins. In [23], an observer-based sampled-data controller was designed for a class of scalar nonlinear affine systems where the discrete-time states were firstly estimated by a nonlinear state observer, and then they were used for designing the sampled-data control.…”

Section: Introductionmentioning

confidence: 99%

Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

Lee

Park

2019

Adv Differ Equ

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This paper addresses the design problem of sampled-data controllers for the synchronization of complex dynamical networks under controller attack. Some discontinuous Lyapunov functionals and zero equation are employed to deal with a sampled-data pattern. Due to the limited access of networks to hackers, cyber-attacks on the controller are considered randomly occurring and are described as an attack function which is nonlinear but assumed to be certain known conditions. The designing conditions for sampled-data controllers against cyber-attack are developed in terms of linear matrix inequality (LMI) by using Lyapunov theory and some novel inequalities. Finally, a numerical example is given to prove the usefulness of the proposed method.

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A Sampled-data Approach to Robust H∞ State Estimation for Genetic Regulatory Networks with Random Delays

Cited by 31 publications

References 41 publications

Global Dissipativity for Stochastic Genetic Regulatory Networks With Time-Delays

Global Dissipativity for Stochastic Genetic Regulatory Networks With Time-Delays

Finite‐Time Robust Stability of Uncertain Genetic Regulatory Networks with Time‐Varying Delays and Reaction‐Diffusion Terms

Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

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