渐近振幅和柯西增益：小增益原理及其在抑制性生物反馈中的应用
Asymptotic amplitudes and cauchy gains: A small-gain principle and an application to inhibitory biological feedback
摘要：
介绍了信号的渐近幅度和输入/输出系统的柯西增益的概念，以及相关的小增益原理。这些概念允许考虑系统的多个，并可能反馈相关的，稳定的状态。一个类似李雅普诺夫的表征允许计算的增益状态空间系统，和制定的充分条件，确保缺乏振荡和混沌行为，在各种各样的级联和反馈回路。详细阐述了MAPK信号在生物学中的应用。
英文摘要：
The notions of asymptotic amplitude for signals, and Cauchy gain for input/output systems, and an associated small-gain principle, are introduced. These concepts allow the consideration of systems with multiple, and possibly feedback-dependent, steady states. A Lyapunov-like characterization allows the computation of gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and feedback loops. An application in biology (MAPK signaling) is worked out in detail.
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