caa a22 4500 445294833 CHVBK 20180317142538.0 cr unu---uuuuu 170323e20100301xx s 000 0 eng 10.1007/s11571-009-9102-4 doi (NATIONALLICENCE)springer-10.1007/s11571-009-9102-4 Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations [Elektronische Daten] [Yanyan Wang, Jinde Cao, Lulu Li] In this paper, by using the Lyapunov method, Itô's differential formula and linear matrix inequality (LMI) approach, the global robust power-rate stability in mean square is discussed for genetic regulatory networks with unbounded time-varying delay, noise perturbations and parameter uncertainties. Sufficient conditions are given to ensure the robust power-rate stability (in mean square) of the genetic regulatory networks. Meanwhile, the criteria ensuring global power-rate stability in mean square are a byproduct of the criteria guaranteeing global robust power-rate stability in mean square. The obtained conditions are derived in terms of linear matrix inequalities (LMIs) which are easy to be verified via the LMI toolbox. An illustrative example is given to show the effectiveness of the obtained result. Springer Science+Business Media B.V., 2010 Global robust power-rate stability in mean square nationallicence Global power-rate stability in mean square nationallicence Genetic regulatory networks nationallicence Stochastic perturbation nationallicence Unbounded time-varying delay nationallicence Linear matrix inequality (LMI) nationallicence Wang Yanyan The School of Mathematics and Physics, Anhui University of Technology, 243002, Ma'anshan, China aut Cao Jinde The Department of Mathematics, Southeast University, 210096, Nanjing, China aut Li Lulu The Department of Mathematics, Southeast University, 210096, Nanjing, China aut Cognitive Neurodynamics Springer Netherlands 4/1(2010-03-01), 81-90 1871-4080 4:1<81 2010 4 11571 https://doi.org/10.1007/s11571-009-9102-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11571-009-9102-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Yanyan The School of Mathematics and Physics, Anhui University of Technology, 243002, Ma'anshan, China aut NATIONALLICENCE 700 1- Cao Jinde The Department of Mathematics, Southeast University, 210096, Nanjing, China aut NATIONALLICENCE 700 1- Li Lulu The Department of Mathematics, Southeast University, 210096, Nanjing, China aut NATIONALLICENCE 773 0- Cognitive Neurodynamics Springer Netherlands 4/1(2010-03-01), 81-90 1871-4080 4:1<81 2010 4 11571 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer