2025/06/05 by Blake McGrane-Corrigan, McGrane-Corrigan, Blake, Rafael de Andrade Moral +3
Computer Science · Engineering · #15B48 #39A30 #92D25 #Distributed Control Multi-Agent Systems #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Neural Networks Stability and Synchronization #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2506.04863
openalex publication_date 2025/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the problem of robust diffusive stability (RDS) for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existence of a common diagonal Lyapunov function is sufficient for RDS and highlight how this condition differs from recent results using linear copositive Lyapunov functions. We also present an extension of these results, showing that the weaker condition of joint linear copositive function existence is also sufficient for RDS. Finally, we present two results on RDS for extended Leslie matrices arising in population dynamics.