Stability of diffusively coupled linear systems with an invariant cone

2018/12/28 by Patrick De Leenheer, De Leenheer, Patrick · 1 citation
Computer Science · Engineering · Mathematics · #15B48 #93D05 #93D30 #Dynamical Systems (math.DS) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1812.11218

openalex publication_date 2018/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper concerns a question that frequently occurs in various applications: Is any diffusive coupling of stable linear systems, also stable? Although it has been known for a long time that this is not the case, we shall identify a reasonably diverse class of systems for which it is true.

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