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      • Distributed Optimization Algorithms on Structurally Balanced Signed Networks

        Wen Du,Yusheng Wei,Mingjun Du 제어로봇시스템학회 2021 제어로봇시스템학회 국제학술대회 논문집 Vol.2021 No.10

        In this paper, we consider the distributed optimization problem under structurally balanced signed graph. First, we convert the original distributed optimization problem into a conditional minimum problem under the condition that the graph is structurally balanced. Our goal is to find the saddle points of augmented Lagrange function. Inspired by the Lagrange multiplier method, we present our algorithms for both undirected graph and digraph, and show that our algorithms asymptotically converge to the global minimizer. Particularly, our algorithms for digraph can not only handle the weight balanced case but the weight unbalanced case. We show that the unsigned graph is a special case of our signed graph cases. Finally, theoretical results are illustrated by numerical simulations.

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        Event-triggering Signed-average Consensus Algorithms under Directed Signed Networks

        Wen Du,Yusheng Wei,Shengli Fu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.9

        In this paper, we consider a signed-average consensus problem under signed networks in which the interactions between agents depicted by edges with positive and negative weights. In order to decrease communication and computation burden, two dynamic event-triggering procotols have been proposed under the signed network that is depicted by the signed digraph. We prove that signed-average consensus is reached exponentially when the signed digraph is structurally balanced and strongly connected; state stability is reached when the signed digraph is structurally unbalanced and strongly connected; and Zeno behavior is excluded. Besides, when the underlying topology is structurally balanced (structurally unbalanced, respectively), we show that static event-triggering laws, which also achieve signed-average consensus (state stability, respectively), are special cases of the dynamic eventtriggering laws. We also conclude that when all agents cooperate with each other, which implies that the underlying signed digraph collapses into an unsigned digraph, our algorithms still work. Finally, numerical examples are given to verify our theoretical results.

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        Study on the activation mechanism of lead ions in the flotation of ilmenite using benzyl hydroxamic acid as collector

        Qingyou Meng,Zhitao Yuan,Li Yu,Yuankai Xu,Yusheng Du 한국공업화학회 2018 Journal of Industrial and Engineering Chemistry Vol.62 No.-

        The activation mechanism of Pb2+ ions to ilmenite and the subsequent interaction with benzyl hydroxamic acid (BHA) were systematically investigated. The Pb2+ ions modification occurred via a chemical adsorption process, in which lead species interacted with iron hydroxyl compounds to form lead-containing complexes on the ilmenite surface. After lead ions activation, the surface of ilmenite became more active, and iron species and lead-containing complexes served as the main active sites to covalently bond with BHA in the form of metal-BHA chelate complexes. As a result, the BHA adsorption increased, giving rise to a concomitant increase in the floatability of ilmenite.

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