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Monotone systems under positive feedback: multistability and a reduction theorem. (English) Zbl 1129.93398
Summary: For feedback loops involving single input, single output monotone systems with well-defined I/O characteristics, a recent paper by Angeli and Sontag provided an approach to determining the location and stability of steady states. A result on global convergence for multistable systems followed as a consequence of the technique. The present paper extends the approach to multiple inputs and outputs. A key idea is the introduction of a reduced system which preserves local stability properties.

##### MSC:
 93B52 Feedback control 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory
##### Keywords:
monotone systems; unity feedback; global stability
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##### References:
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