?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F14389%2F&rft.title=Characterization+and+Control+of+Conservative+and+Nonconservative+Network+Dynamics&rft.creator=Wildemeersch%2C+M.&rft.creator=Chan%2C+W.H.R.&rft.creator=Rovenskaya%2C+E.&rft.creator=Quek%2C+T.Q.S.&rft.description=Diffusion+processes+are+instrumental+to+describe+the+movement+of+a+continuous+quantity+in+a+generic+network+of+interacting+agents.+Here%2C+we+present+a+probabilistic+framework+for+diffusion+in+networks+and+study+in+particular+two+classes+of+agent+interactions+depending+on+whether+the+total+network+quantity+follows+a+conservation+law.+Focusing+on+asymmetric+interactions+between+agents%2C+we+define+how+the+dynamics+of+conservative+and+non-conservative+networks+relate+to+the+weighted+in-degree+and+out-degree+Laplacians.+For+uncontrolled+networks%2C+we+define+the+convergence+behavior+of+our+framework%2C+including+the+case+of+variable+network+topologies%2C+as+a+function+of+the+eigenvalues+and+eigenvectors+of+the+weighted+graph+Laplacian.+In+addition%2C+we+study+the+control+of+the+network+dynamics+by+means+of+external+controls+and+alterations+in+the+network+topology.+For+networks+with+exogenous+controls%2C+we+analyze+convergence+and+provide+a+method+to+measure+the+difference+between+conservative+and+non-conservative+network+dynamics+based+on+the+comparison+of+their+respective+attainability+domains.+In+order+to+construct+a+network+topology+tailored+for+a+desired+behavior%2C+we+propose+a+Markov+decision+process+(MDP)+that+learns+specific+network+adjustments+through+a+reinforcement+learning+algorithm.+The+presented+network+control+and+design+schemes+enable+the+alteration+of+the+dynamic+and+stationary+network+behavior+in+conservative+and+non-conservative+networks.&rft.publisher=WP-16-026&rft.date=2016-12&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.rights=cc_by&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F14389%2F1%2FWP-16-026.pdf&rft.identifier=++Wildemeersch%2C+M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F331.html%3E+ORCID%3A+https%3A%2F%2Forcid.org%2F0000-0002-6660-2712+%3Chttps%3A%2F%2Forcid.org%2F0000-0002-6660-2712%3E%2C+Chan%2C+W.H.R.%2C+Rovenskaya%2C+E.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F260.html%3E+ORCID%3A+https%3A%2F%2Forcid.org%2F0000-0002-2761-3443+%3Chttps%3A%2F%2Forcid.org%2F0000-0002-2761-3443%3E%2C+%26+Quek%2C+T.Q.S.++(2016).++Characterization+and+Control+of+Conservative+and+Nonconservative+Network+Dynamics.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-16-026+++++