SUPPORT DOCUMENTS Problem 2 Examine the argument following

SUPPORT DOCUMENTS :-

Problem 2: Examine the argument following Corollary 4.2 in Mesbahi and Egerstedt. Provide an analysis for why the value of the Lyapunov function V (x) = maxixi ? minixi (1) has to decrease at every iteration if x does not belong to the agreement subspace, that is, when V (x) > 0. Plot V (x) for a representative digraph on five nodes containing a rooted out-branching running the agreement protocol.

Problem 2: Examine the argument following Corollary 4.2 in Mesbahi and Egerstedt. Pro- vide an analysis for why the value of the Lyapunov function has to decrease at every iteration if a does not belong to the agreement subspace, that is, when V() 0. Pl d out-branching running the agreement protocol. ot V) for a representative digraph on five nodes containing a roote

Solution

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