perfectadaptationofgeneralnonlinearsystems

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	perfectadaptationofgeneralnonlinearsystems
	Su Wei
	2016
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	29 期号:1 页码:61
摘要	Perfect adaptation describes the ability of a biological system to restore its biological function precisely to the pre-perturbation level after being affected by the environmental disturbances. Mathematically, a biological system with perfect adaptation can be modelled as an input-output nonlinear system whose output, usually determining the biological function, is asymptotically stable under all input disturbances concerned. In this paper, a quite general input-output mathematical model is employed and the 'functional' of biological function (FBF)-output Lyapunov function-is explored to investigate its perfect adaptation ability. Sufficient condition is established for the systems with FBF to achieve perfect adaptation. Then a sufficient and necessary condition is obtained for the linear systems to possess an output Lyapunov function. Furthermore, it is shown that the 'functional' of receptors activity exists in the perfect adaptation model of E. coli chemotaxis. Different with the existing mathematical surveys on perfect adaptation, most of which are based on the standpoint of control theory, we first investigate this problem using ways of nonlinear systems analysis.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/43058
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Su Wei. perfectadaptationofgeneralnonlinearsystems[J]. journalofsystemsscienceandcomplexity,2016,29(1):61.
APA	Su Wei.(2016).perfectadaptationofgeneralnonlinearsystems.journalofsystemsscienceandcomplexity,29(1),61.
MLA	Su Wei."perfectadaptationofgeneralnonlinearsystems".journalofsystemsscienceandcomplexity 29.1(2016):61.