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A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure

A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> A class of distributed systems with a cyclic interconnection structure is considered. These systems arise in several biochemical applications and they can undergo diffusion-driven instability which leads to a formation of spatially heterogeneous patterns. In this paper, a class of cyclic systems in which addition of diffusion …