Fractional differential equation approach for convex optimization with convergence rate analysis
Author:
Funder
Army Research Office
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization
Link
http://link.springer.com/content/pdf/10.1007/s11590-019-01437-6.pdf
Reference22 articles.
1. Aguila-Camacho, N., Duarte-Mermoud, M.A., Gallegos, J.A.: Lyapunov functions for fractional order systems. Commun. Nonlinear Sci. Numer. Simul. 19(9), 2951–2957 (2014)
2. Cevher, V., Becker, S., Schmidt, M.: Convex optimization for big data: scalable, randomized, and parallel algorithms for big data analytics. IEEE Signal Process. Mag. 31(5), 32–43 (2014)
3. Du, B., Wei, Y., Liang, S., Wang, Y.: Rational approximation of fractional order systems by vector fitting method. Int. J. Control Autom. Syst. 15(1), 186–195 (2017)
4. Forti, M., Nistri, P., Quincampoix, M.: Generalized neural network for nonsmooth nonlinear programming problems. IEEE Trans. Circuits Syst. I Regul. Pap. 51(9), 1741–1754 (2004)
5. Li, Y., Chen, Y., Podlubny, I.: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Comput. Math. Appl. 59(5), 1810–1821 (2010)
Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations;Communications in Nonlinear Science and Numerical Simulation;2024-02
2. Nabla fractional distributed optimization algorithms over undirected/directed graphs;Journal of the Franklin Institute;2024-02
3. A Gradient Tracking Protocol for Optimization Over Nabla Fractional Multi-Agent Systems;IEEE Transactions on Signal and Information Processing over Networks;2024
4. Nabla Fractional Distributed Optimization Algorithm Over Unbalanced Graphs;IEEE Control Systems Letters;2024
5. Fractional Order Iteration for Gradient Descent Method Based on Event-Triggered Mechanism;Journal of Systems Science and Complexity;2023-10
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3