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Stability of diffusively coupled linear systems with an invariant cone

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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… Click to show full abstract

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.

Keywords: stability diffusively; coupled linear; invariant cone; systems invariant; diffusively coupled; linear systems

Journal Title: Linear Algebra and its Applications
Year Published: 2019

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