Smooth Dynamics for Distributed Constrained Optimization With Heterogeneous Delays

التفاصيل البيبلوغرافية
العنوان: Smooth Dynamics for Distributed Constrained Optimization With Heterogeneous Delays
المؤلفون: Mengmou Li, Graziano Chesi, Shunya Yamashita, Takeshi Hatanaka
المصدر: IEEE Control Systems Letters. 4(number 3):626-631
سنة النشر: 2020
مصطلحات موضوعية: 0209 industrial biotechnology, Mathematical optimization, Control and Optimization, Matching (graph theory), Linear programming, Computer science, 020208 electrical & electronic engineering, Constrained optimization, 02 engineering and technology, Convexity, 020901 industrial engineering & automation, Exponential stability, Optimization and Control (math.OC), Control and Systems Engineering, Distributed algorithm, Robustness (computer science), Convergence (routing), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Mathematics - Optimization and Control
الوصف: This work investigates the distributed constrained optimization problem under inter-agent communication delays from the perspective of passivity. First, we propose a continuous-time algorithm for distributed constrained optimization with general convex objective functions. The asymptotic stability under general convexity is guaranteed by the phase lead compensation. The inequality constraints are handled by adopting a projection-free generalized Lagrangian, whose primal-dual gradient dynamics preserves passivity and smoothness, enabling the application of the LaSalle's invariance principle in the presence of delays. Then, we incorporate the scattering transformation into the proposed algorithm to enhance the robustness against unknown and heterogeneous communication delays. Finally, a numerical example of a matching problem is provided to illustrate the results.
6 pages, 3 figures
اللغة: English
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae8d8315d11c62085acc0d255f5e5991
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100863954
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....ae8d8315d11c62085acc0d255f5e5991
قاعدة البيانات: OpenAIRE