论文信息 - A remark on monotone control systems

A remark on monotone control systems

Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of the paper is to extend the notion of monotonicity to systems with inputs and outputs, a necessary first step in trying to understand interconnections, especially including feedback loops, built up out of monotone components. Basic definitions and theorems are provided, as well as an application to the study of a model of one of the cell's most important subsystems.

David Angeli | Eduardo D. Sontag

[1] David Angeli,et al. Monotone control systems , 2003, IEEE Trans. Autom. Control..

[2] Hal L. Smith,et al. Monotone Dynamical Systems: An Introduction To The Theory Of Competitive And Cooperative Systems (Mathematical Surveys And Monographs) By Hal L. Smith , 1995 .

[3] D. Aeyels,et al. Stability for homogeneous cooperative systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[4] Eduardo D. Sontag. Asymptotic amplitudes and Cauchy gains: a small-gain principle and an application to inhibitory biological feedback , 2002, Syst. Control. Lett..