5,882 research outputs found

    An analytical proof of a certain geometric inequality conjecture of Shan-He Wu

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    AbstractIn this short note, the authors give a proof of a certain geometric inequality conjecture of Shan-He Wu by making use of some analytical techniques (see Srivastava et al. (2011) [5] and Wu et al. (2010) [6]). Finally, three closely-related geometric inequality problems are posed as open problems

    Separation principle for networked control systems with multiple-packet transmission

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    The authors investigate a class of observer-based discrete-time networked control systems (NCSs) with multiple-packet transmission where random packet dropouts occur independently in both the sensor-to-controller (S/C) and controller-to-actuator (C/A) channels. The authors first propose and prove the separation principle for the NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively. Secondly, the authors derive a sufficient condition, in terms of linear matrix inequalities (LMIs), for stabilisation control of the Markov chain-driven NCSs. The authors also derive the necessary and sufficient condition for stabilisation control of the memoryless process-driven NCSs as a special case. A numerical example is provided to illustrate the effectiveness of our method

    sj-DOC-1-jdr-10.1177_00220345221074909 – Supplemental material for High-Performance Dental Composites Based on Hierarchical Reinforcements

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    Supplemental material, sj-DOC-1-jdr-10.1177_00220345221074909 for High-Performance Dental Composites Based on Hierarchical Reinforcements by C. Hu, Y.Q. Lin, Y.J. Yang, L.L. Wang, H.M. Liang, J.R. Wu, G.X. He and L.Q. Shao in Journal of Dental Research</p
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