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We consider an opinion network of multiple individuals with dynamics evolving via a general time-varying continuous time consensus algorithm. In such a network, a subset of individuals forms an <bold>éminence grise coalition</bold> (EGC) if the individuals in that subset are capable of leading the entire network to agreeing on any desired opinion through a cooperative choice of their own...
A notion of relative structure at infinity and the concept of relative output rank with respect to a subsystem are introduced. We introduce the problem of relative decoupling, showing that this problem is solvable if and only if the relative output rank ρ(z) coincides with dimz. The Relative Dynamic Extension Algorithm (RDEA) is presented and a geometric interpretation is also given, showing that...
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