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  1. Journal of Systems Science and Complexity
  2. Journal of Systems Science and Complexity : Volume 29
  3. Journal of Systems Science and Complexity : Volume 29, Issue 1, February 2016
  4. Perfect adaptation of general nonlinear systems
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Journal of Systems Science and Complexity : Volume 30
Journal of Systems Science and Complexity : Volume 29
Journal of Systems Science and Complexity : Volume 29, Issue 6, December 2016
Journal of Systems Science and Complexity : Volume 29, Issue 5, October 2016
Journal of Systems Science and Complexity : Volume 29, Issue 4, August 2016
Journal of Systems Science and Complexity : Volume 29, Issue 3, June 2016
Journal of Systems Science and Complexity : Volume 29, Issue 2, April 2016
Journal of Systems Science and Complexity : Volume 29, Issue 1, February 2016
Network robustness depth and topology management of networked dynamic systems
Nonlinear damped oscillators on Riemannian manifolds: Fundamentals
Robust estimation of parameters in nonlinear ordinary differential equation models
Perfect adaptation of general nonlinear systems
Active disturbance rejection control for PMLM servo system in CNC machining
Output feedback stabilization of an unstable wave equation with observations subject to time delay
Bi-cubic B-spline fitting-based local volatility model with mean reversion process
‘SoS call’ at the other edge of chaos
A quantitative description of complex adaptive system: The self-adaptive mechanism of the material purchasing management system towards the changing environment
Valuation of stock loans under a Markov chain model
Hierarchical hypergames and Bayesian games: A generalization of the theoretical comparison of hypergames and Bayesian games considering hierarchy of perceptions
Delays for both pedestrians classified and vehicles at a signalized crosswalk
Existence of solutions of generalized quasi-variational relation problems by the inductive relations and some applications
Solving low-density multiple subset sum problems with SVP oracle
The determination on weight hierarchies of q-ary linear codes of dimension 5 in class IV
Dembowski-Ostrom polynomials from reversed Dickson polynomials
On algebraic immunity of trace inverse functions on finite fields of characteristic two
Journal of Systems Science and Complexity : Volume 28
Journal of Systems Science and Complexity : Volume 27
Journal of Systems Science and Complexity : Volume 26
Journal of Systems Science and Complexity : Volume 25
Journal of Systems Science and Complexity : Volume 24
Journal of Systems Science and Complexity : Volume 23
Journal of Systems Science and Complexity : Volume 22
Journal of Systems Science and Complexity : Volume 21
Journal of Systems Science and Complexity : Volume 20
Journal of Systems Science and Complexity : Volume 19

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Perfect adaptation of general nonlinear systems

Content Provider SpringerLink
Author Su, Wei
Copyright Year 2015
Abstract 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.
Starting Page 61
Ending Page 73
Page Count 13
File Format PDF
ISSN 10096124
Journal Journal of Systems Science and Complexity
Volume Number 29
Issue Number 1
e-ISSN 15597067
Language English
Publisher Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Publisher Date 2015-08-29
Publisher Place Beijing
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Output Lyapunov function perfect adaptation perturbed nonlinear systems Systems Theory, Control Operation Research/Decision Theory Mathematics of Computing Statistical Physics, Dynamical Systems and Complexity Statistics
Content Type Text
Resource Type Article
Subject Information Systems
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