Title :
Robust stochastic stability of hybrid genetic networks
Author :
Sun, Yonghui ; Feng, Gang ; Wu, Aiguo
Author_Institution :
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Hong Kong, China
Abstract :
In this paper, a stochastic hybrid genetic networks model is proposed. By taking into account the structure variations at discrete time instances during the process of gene regulation, its robust stochastic stability with intrinsic and extrinsic noises is then addressed from stochastic system point of view. The sufficient stability condition for the hybrid genetic networks could be easily facilitated by Matlab LMI toolbox. Finally, a numerical example with simulations is provided to illustrate the effectiveness of the developed results.
Keywords :
discrete time systems; genetic algorithms; linear matrix inequalities; robust control; stochastic systems; Matlab LMI toolbox; discrete time instances; extrinsic noises; gene regulation process; hybrid genetic networks; intrinsic noises; robust stochastic stability; structure variations; Biological system modeling; Genetics; Mathematical model; Probabilistic logic; Robustness; Switches; Hybrid genetic networks; extrinsic noises; intrinsic noises; robust stochastic stability;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5555027
