Remarks on random dynamical systems with inputs and outputs and a small-gain theorem for monotone RDS

2012/07/06 by Michael Marcondes de Freitas, Eduardo D. Sontag, de Freitas, Michael Marcondes +1
Engineering · Mathematics · Physics and Astronomy · #FOS: Electrical engineering #FOS: Mathematics #Mathematical Dynamics and Fractals #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1207.1690

openalex publication_date 2012/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note introduces a new notion of random dynamical system with inputs and outputs, and sketches a small-gain theorem for monotone systems which generalizes a similar theorem known for deterministic systems.

Citations

• Random dynamical systems

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