Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability

B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

[HTML][HTML] A new approach based on spectral graph theory to avoiding enclosed holes in topology optimization

A Donoso, E Aranda, D Ruiz - Computer Methods in Applied Mechanics …, 2022 - Elsevier
It is well-known that when maximizing the stiffness in structural design, several holes often
appear distributed throughout the structure, leading to a distribution of the void phase that is …

Passivity-based generalization of primal–dual dynamics for non-strictly convex cost functions

S Yamashita, T Hatanaka, J Yamauchi, M Fujita - Automatica, 2020 - Elsevier
In this paper, we revisit primal–dual dynamics for convex optimization and present a
generalization of the dynamics based on the concept of passivity. We hypothesize that …

Distributed consensus-based solver for semi-definite programming: An optimization viewpoint

W Li, X Zeng, Y Hong, H Ji - Automatica, 2021 - Elsevier
This paper aims at the distributed computation for semi-definite programming (SDP)
problems over multi-agent networks. Two SDP problems, including a non-sparse case and a …

A unified optimization-based framework to adjust consensus convergence rate and optimize the network topology in uncertain multi-agent systems

MS Sarafraz, MS Tavazoei - IEEE/CAA Journal of Automatica …, 2021 - ieeexplore.ieee.org
This paper deals with the consensus problem in an uncertain multi-agent system whose
agents communicate with each other through a weighted undirected (primary) graph. The …

Exponentially convergent distributed Nash equilibrium seeking for constrained aggregative games

S Liang, P Yi, Y Hong, K Peng - Autonomous Intelligent Systems, 2022 - Springer
Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-
time algorithm is proposed. The algorithm is designed by virtue of projected gradient play …

Continuous-time optimization dynamics mirroring ADMM architecture and passivity-based robustification against delays

T Miyano, S Yamashita, T Hatanaka… - … on Control of …, 2020 - ieeexplore.ieee.org
This article addresses a convex optimization problem that suffers from communication
delays between a central collector and subsystems. First, we introduce continuous-time …

Incentive and nudge design for human behavioural change

R Asanaka, M Inoue, T Homma… - SICE Journal of Control …, 2023 - Taylor & Francis
This paper addresses the modelling and management problems for human behavioural
change, in particular, aiming reduced congestion. First, the behavioural change driven by …

Contraction analysis on primal-dual gradient optimization

Y Su, Y Shi, C Sun - arxiv preprint arxiv:1907.10171, 2019 - arxiv.org
This paper analyzes the contraction of the primal-dual gradient optimization via contraction
theory in the context of discrete-time updating dynamics. The contraction theory based on …

連続時間 ADMM の提案と受動性に基づく収束性解析

宮野竜也, 山下駿野, 畑中健志, 柴田一騎… - 計測自動制御学会 …, 2019 - jstage.jst.go.jp
抄録 This paper presents a continuous-time version of an optimization algorithm called
Alternating Direction Method of Multipliers (ADMM), and analyzes convergence of the …