Optimization and Control

Authors and titles for August 2021

[151] arXiv:2108.09999 [pdf, other]

Title: A Mean Field Game Analysis of Consensus Protocol Design

Lucy Klinger, Lei Zhang, Zhennan Zhou

Comments: 28 pages, 13 figures

Subjects: Optimization and Control (math.OC)

[152] arXiv:2108.10077 [pdf, other]

Title: Convex relaxation of discrete vector-valued optimization problems

Christian Clason, Carla Tameling, Benedikt Wirth

Comments: Extended version of arXiv:1611.07853 for publication in SIAM Review (SIGEST)

Journal-ref: SIAM Review 63 (2021), 783-821

Subjects: Optimization and Control (math.OC)

[153] arXiv:2108.10170 [pdf, other]

Title: Dual variational formulations for a large class of non-convex models in the calculus of variations

Fabio Silva Botelho

Comments: 29 pages, some corrections implemented, a new section added

Subjects: Optimization and Control (math.OC)

[154] arXiv:2108.10240 [pdf, other]

Title: Slow decay and turnpike for infinite-horizon hyperbolic LQ problems

Zhong-Jie Han, Enrique Zuazua

Subjects: Optimization and Control (math.OC)

[155] arXiv:2108.10249 [pdf, other]

Title: New Q-Newton's method meets Backtracking line search: good convergence guarantee, saddle points avoidance, quadratic rate of convergence, and easy implementation

Tuyen Trung Truong

Comments: 29 pages. arXiv admin note: text overlap with arXiv:2006.01512

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Dynamical Systems (math.DS); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[156] arXiv:2108.10260 [pdf, other]

Title: Proportional-Integral Projected Gradient Method for Conic Optimization

Yue Yu, Purnanand Elango, Ufuk Topcu, Behçet Açıkmeşe

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[157] arXiv:2108.10315 [pdf, other]

Title: Lessons from AlphaZero for Optimal, Model Predictive, and Adaptive Control

Dimitri Bertsekas

Comments: A far more extensive version with the same title was published in 2022 in book format, with confusion resulting

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI)

[158] arXiv:2108.10390 [pdf, other]

Title: Reachability of weakly nonlinear systems using Carleman linearization

Marcelo Forets, Christian Schilling

Journal-ref: International Conference on Reachability Problems (pp. 85-99), 2021. Springer, Cham

Subjects: Optimization and Control (math.OC); Mathematical Software (cs.MS); Systems and Control (eess.SY); Dynamical Systems (math.DS)

[159] arXiv:2108.10482 [pdf, other]

Title: "Passive Mechanical Realizations of Bicubic Impedances with No More Than Five Elements for Inerter-Based Control Design" with the Supplementary Material

Kai Wang, Michael Z. Q. Chen

Subjects: Optimization and Control (math.OC)

[160] arXiv:2108.10483 [pdf, other]

Title: The Global Maximum Principle for Progressive Optimal Control of Partially Observed Forward-Backward Stochastic Systems with Random Jumps

Yueyang Zheng, Jingtao Shi

Comments: 97 pages

Subjects: Optimization and Control (math.OC)

[161] arXiv:2108.10571 [pdf, other]

Title: Envelope theorems for static optimization and calculus of variations

Joël Blot (SAMM), Hasan Yilmaz (LPSM, UP - UFR Mathématiques)

Subjects: Optimization and Control (math.OC)

[162] arXiv:2108.10589 [pdf, other]

Title: Optimal Control of a SIR Epidemic With ICU Constraints and Target Objectives

Florin Avram, Lorenzo Freddi, Dan Goreac

Subjects: Optimization and Control (math.OC)

[163] arXiv:2108.10611 [pdf, other]

Title: A novel, Fourier series based method of control optimization and its application to a discontinuous capsule drive model

Sandra Zarychta, Tomasz Sagan, Marek Balcerzak, Artur Dabrowski, Andrzej Stefanski, Tomasz Kapitaniak

Comments: 22 pages, 7 figures; submitted to International Journal of Mechanical Sciences; research data available over Mendeley Data, V1, doi: https://doi.org/10.17632/9r4rkmmfzf.1

Journal-ref: International Journal of Mechanical Sciences, 2022, 107104, ISSN 0020-7403

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[164] arXiv:2108.10652 [pdf, other]

Title: Distributed Optimization with Coupling Constraints Based on Dual Proximal Gradient Method in Multi-Agent Networks

Jianzheng Wang, Guoqiang Hu

Comments: 8 pages, 4 figures

Subjects: Optimization and Control (math.OC)

[165] arXiv:2108.10658 [pdf, other]

Title: Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay

Hugo Lhachemi, Ammar Malik, Robert Shorten

Comments: Accepted for publication in Automatica

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[166] arXiv:2108.10664 [pdf, other]

Title: Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with a either Dirichlet or Neumann boundary measurement

Hugo Lhachemi, Christophe Prieur

Comments: Accepted for publication in Automatica

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[167] arXiv:2108.10958 [pdf, other]

Title: A Trilevel Model for Segmentation of the Power Transmission Grid Cyber Network

Bryan Arguello, Emma S. Johnson, Jared L. Gearhart

Comments: 12 pages, 4 figures

Subjects: Optimization and Control (math.OC)

[168] arXiv:2108.10969 [pdf, other]

Title: Optimal error bounds for nonexpansive fixed-point iterations in normed spaces

Juan Pablo Contreras, Roberto Cominetti

Comments: Forthcoming in Mathematical Programming (2022)

Subjects: Optimization and Control (math.OC)

[169] arXiv:2108.11019 [pdf, other]

Title: Vector Transport Free Riemannian LBFGS for Optimization on Symmetric Positive Definite Matrix Manifolds

Reza Godaz, Benyamin Ghojogh, Reshad Hosseini, Reza Monsefi, Fakhri Karray, Mark Crowley

Comments: Published in the 13th Asian Conference on Machine Learning (ACML) 2021. The first two authors contributed equally to this work

Journal-ref: Proceedings of The 13th Asian Conference on Machine Learning, PMLR, vol. 157, pp. 1-16, 2021

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[170] arXiv:2108.11045 [pdf, other]

Title: Reachability of Nonlinear Systems with Unknown Dynamics

Taha Shafa, Melkior Ornik

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[171] arXiv:2108.11052 [pdf, other]

Title: Spill-Free Transfer and Stabilization of Viscous Liquid

Iasson Karafyllis, Miroslav Krstic

Comments: 24 pages,1 figure, submitted to IEEE TAC for possible publication

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[172] arXiv:2108.11237 [pdf, other]

Title: Control in Hilbert Space and First Order Mean Field Type Problem

Alain Bensoussan, Henry Hang Cheung, Sheung Chi Phillip Yam

Comments: Invited book chapter in Stochastic Analysis, Filtering, and Stochastic Optimization: A Commemorative Volume to Honor Mark H. A. Davies' Contributions

Subjects: Optimization and Control (math.OC)

[173] arXiv:2108.11266 [pdf, other]

Title: Robust Kalman Filtering Under Model Uncertainty: the Case of Degenerate Densities

Shenglun Yi, Mattia Zorzi

Subjects: Optimization and Control (math.OC)

[174] arXiv:2108.11267 [pdf, other]

Title: Multipliers waveform inversion

Ali Gholami, Hossein S. Aghamiry, Stéphane Operto

Subjects: Optimization and Control (math.OC)

[175] arXiv:2108.11336 [pdf, other]

Title: A Historical Perspective of Adaptive Control and Learning

Anuradha M. Annaswamy, Alexander L. Fradkov

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[176] arXiv:2108.11440 [pdf, other]

Title: The Bregman proximal average

Xianfu Wang, Heinz H. Bauschke

Subjects: Optimization and Control (math.OC)

[177] arXiv:2108.11713 [pdf, other]

Title: The Number of Steps Needed for Nonconvex Optimization of a Deep Learning Optimizer is a Rational Function of Batch Size

Hideaki Iiduka

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[178] arXiv:2108.11782 [pdf, other]

Title: A stochastic gradient method for a class of nonlinear PDE-constrained optimal control problems under uncertainty

Caroline Geiersbach, Teresa Scarinci

Subjects: Optimization and Control (math.OC)

[179] arXiv:2108.11832 [pdf, other]

Title: Active manifolds, stratifications, and convergence to local minima in nonsmooth optimization

Damek Davis, Dmitriy Drusvyatskiy, Liwei Jiang

Comments: Version 1 of the arxiv report has been split into two parts. Version 2 of the arxiv report is Part 1 of the original submission. Part 2 will appear as a separate arxiv submission

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[180] arXiv:2108.11911 [pdf, other]

Title: Efficient Joint Object Matching via Linear Programming

Antonio De Rosa, Aida Khajavirad

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP); Probability (math.PR)

[181] arXiv:2108.11928 [pdf, other]

Title: The cone of $5\times 5$ completely positive matrices

Max Pfeffer, Jose Alejandro Samper

Comments: Comments are welcome

Subjects: Optimization and Control (math.OC); Algebraic Geometry (math.AG); Numerical Analysis (math.NA)

[182] arXiv:2108.12029 [pdf, other]

Title: A Different Perspective On The Stochastic Convex Feasibility Problem

James Renegar, Song Zhou

Comments: 10 pages

Subjects: Optimization and Control (math.OC)

[183] arXiv:2108.12030 [pdf, other]

Title: The Mixed-Observable Constrained Linear Quadratic Regulator Problem: the Exact Solution and Practical Algorithms

Ugo Rosolia, Yuxiao Chen, Shreyansh Daftry, Masahiro Ono, Yisong Yue, Aaron D. Ames

Subjects: Optimization and Control (math.OC)

[184] arXiv:2108.12053 [pdf, other]

Title: Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization

Dihan Dai, Yekaterina Epshteyn, Akil Narayan

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[185] arXiv:2108.12070 [pdf, other]

Title: Mirror frameworks for relatively Lipschitz and monotone-like variational inequalities

Hui Zhang, Yu-Hong Dai

Comments: 26 pages, 2 figures

Subjects: Optimization and Control (math.OC)

[186] arXiv:2108.12136 [pdf, other]

Title: Distributed Mirror Descent Algorithm with Bregman Damping for Nonsmooth Constrained Optimization

Guanpu Chen, Weijian Li, Gehui Xu, Yiguang Hong

Subjects: Optimization and Control (math.OC)

[187] arXiv:2108.12142 [pdf, other]

Title: Efficient algorithm for approximating Nash equilibrium of distributed aggregative games

Gehui Xu, Guanpu Chen, Hongsheng Qi, Yiguang Hong

Subjects: Optimization and Control (math.OC)

[188] arXiv:2108.12171 [pdf, other]

Title: Modal Strong Structural Controllability for Networks with Dynamical Nodes

Shima Sadat Mousavi, Anastasios Kouvelas, Karl H. Johansson

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[189] arXiv:2108.12231 [pdf, other]

Title: Optimized leaders strategies for crowd evacuation in unknown environments with multiple exits

Giacomo Albi, Federica Ferrarese, Chiara Segala

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[190] arXiv:2108.12277 [pdf, other]

Title: Calculating Cost Distributions of a Multiservice Loss System

Jorma Jormakka, Sourangshu Ghosh

Comments: 15 Pages, 18 References

Journal-ref: COMPUSOFT: An International Journal of Advanced Computer Technology, 10(7), 3978-3992 (2021)

Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT)

[191] arXiv:2108.12341 [pdf, other]

Title: Distributed Control and Optimization of DC Microgrids: A Port-Hamiltonian Approach

Babak Abdolmaleki, Gilbert Bergna-Diaz

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[192] arXiv:2108.12361 [pdf, other]

Title: Convex Relaxations of Maximal Load Delivery for Multi-contingency Analysis of Joint Electric Power and Natural Gas Transmission Networks

Byron Tasseff, Carleton Coffrin, Russell Bent

Subjects: Optimization and Control (math.OC)

[193] arXiv:2108.12608 [pdf, other]

Title: Fighting the E-commerce Giants: Efficient Routing and Effective Consolidation for Local Delivery Platforms

Albert H. Schrotenboer, Michiel A. J. Uit het Broek, Paul Buijs, Marlin W. Ulmer

Subjects: Optimization and Control (math.OC)

[194] arXiv:2108.12624 [pdf, other]

Title: Multiple sparsity constrained control node scheduling with application to rebalancing of mobility networks

Takuya Ikeda, Kazunori Sakurama, Kenji Kashima

Comments: 8 pages, 6 figures. Supplemental material 3 pages

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[195] arXiv:2108.12644 [pdf, other]

Title: Payoff Control in Repeated Games

Renfei Tan, Qi Su, Bin Wu, Long Wang

Comments: 10 pages, 2 figures. Submitted to The 33rd Chinese Control and Decision Conference (CCDC 2021), Kunming, China, 22-24 May 2021. Zhang Si-Ying (CCDC) Outstanding Youth Paper Award

Subjects: Optimization and Control (math.OC); Populations and Evolution (q-bio.PE)

[196] arXiv:2108.12702 [pdf, other]

Title: Performance-Barrier-Based Event-Triggered Control with Applications to Network Systems

Pio Ong, Jorge Cortes

Comments: 15 pages, 2 figures, submitted to IEEE Transactions on Automatic Control

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[197] arXiv:2108.12883 [pdf, other]

Title: A closed loop gradient descent algorithm applied to Rosenbrock's function

Subhransu Bhattacharjee, Ian Petersen

Comments: In proceedings of the 2021 Australia and New Zealand Control Conference, 2021. (Final reviewed version)

Journal-ref: 2021 Australian & New Zealand Control Conference (ANZCC), 2021

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Dynamical Systems (math.DS)

[198] arXiv:2108.12888 [pdf, other]

Title: Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $L^2(\Omega)$ under Control Constraints

Karl Kunisch, Buddhika Priyasad

Journal-ref: Appl Math Optim 85, 10 (2022)

Subjects: Optimization and Control (math.OC)

[199] arXiv:2108.13040 [pdf, other]

Title: Online Stochastic Optimization for Unknown Linear Systems: Data-Driven Synthesis and Controller Analysis

Gianluca Bianchin, Miguel Vaquero, Jorge Cortes, Emiliano Dall'Anese

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[200] arXiv:2108.13189 [pdf, other]

Title: Underwater Acoustic Channel Adaptive Estimation using l21 Norms

Amer Aljanabi, Mohanad Abd Shehab, Osama Alluhaibi, Qasim Zeeshan Ahmed, Pavlos Lazaridis

Subjects: Optimization and Control (math.OC)