Robust Stability for Discrete-Time Uncertain Genetic Regulatory Networks with Infinite-Distributed Delay

Lu, Chien Yu; Hsiao, Yung Chia; Liu, Chien-Hung; Hsu, Chang Hung; Chang, Koan Yuh; Cheng, Shan

doi:10.1109/is3c.2014.109

Cited by 1 publication

(2 citation statements)

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“…In [17], the robust stability problem has been addressed for GRNs with time-varying delays. Subsequently, the improved stability criteria have been established for GRNs with interval timevarying delays [18] and infinite-distributed delays [19]. In [8], the authors have studied a class of GRNs with same transcriptional delays and translation delays which take values in a finite set governed by a Markov chain with known transition probabilities.…”

Section: Introductionmentioning

confidence: 99%

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New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances

Zhao

Shen

Chen

2016

Mathematical Problems in Engineering

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We propose an improved stability condition for a class of discrete-time genetic regulatory networks (GRNs) with interval time-varying delays and stochastic disturbances. By choosing an augmented novel Lyapunov-Krasovskii functional which contains some triple summation terms, a less conservative sufficient condition is obtained in terms of linear matrix inequalities (LMIs) by using the combination of the lower bound lemma, the discrete-time Jensen inequality, and the free-weighting matrix method. It is shown that the proposed results can be readily solved by using the Matlab software. Finally, two numerical examples are provided to illustrate the effectiveness and advantages of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

“…Mathematical Problems in Engineering Now, combining (19), (20), (21), (22), (23), and (25), we obtain the following inequality:…”

mentioning

confidence: 99%

New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances

Zhao

Shen

Chen

2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

Robust Stability for Discrete-Time Uncertain Genetic Regulatory Networks with Infinite-Distributed Delay

Cited by 1 publication

References 20 publications

New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances

New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances

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