Mean Square Stability of Stochastic Impulsive Genetic Regulatory Networks with Mixed Time-Delays

Autor:	Haijun Jiang, Zhanheng Chen
Rok vydání:	2012
Předmět:	Mean square Equilibrium point Class (set theory) Time delays Exponential stability Control theory Mean square stability Mathematical induction Quantitative Biology::Genomics Mathematics
Zdroj:	Advances in Neural Networks – ISNN 2012 ISBN: 9783642313455 ISNN (1)
DOI:	10.1007/978-3-642-31346-2_35
Popis:	In this paper, we investigate a class of stochastic impulsive genetic regulatory networks with mixed time-delays. By using Lyapunov-Krasovskii functional method, LMI method and mathematical induction, some sufficient conditions are derived ensuring the globally exponential stability of the equilibrium point of the genetic regulatory networks in mean square. It is believed that these results are significant and useful for the design and applications of stochastic impulsive genetic regulatory networks. Finally, an example is given to illustrate the results obtained in this paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c47e4113ec9c6b73d3a9d885e232224 https://doi.org/10.1007/978-3-642-31346-2_35 Zobrazit plný text záznamu