Obtaining continuous-time dynamics to study convergence analysis for distributed constrained optimization problems when the graph topology is a general weight unbalanced strongly connected digraph. Further, we would like to extend this work when the objective and constraint functions are time-varying, non-smooth in nature. There's existing literature on obtaining continuous-time dynamics for unconstrained and constrained distributed optimization problems when the associated graph topology is undirected and connected graph or strongly connected weight balanced digraphs respectively.
Indian Institute of Technology, Mumbai
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