Existence of Optimal Feedback Control via Hilfer Derivative for Semilinear Fractional Evolution Equations: Theoretical Insights and Applications.

Authors: Shafqat, Ramsha¹ (AUTHOR) ramshawarriach@gmail.com, Moussaoui, Abdelhamid² (AUTHOR) a.moussaoui@usms.ma

Source: New Mathematics & Natural Computation. Sep2025, p1-18. 18p.

Subject Terms: *OPTIMAL control theory, *LAGRANGE problem, *BANACH spaces, *FRACTIONAL differential equations, *FRACTIONAL calculus, *COMPACT operators

求解两区域变分不等式的自适应交替方向乘子法.

Alternate Title: A Self-Adaptive Alternating Direction Multiplier Method for Variational Inequality in 2 Domains.

Authors: 袁星月¹ 2505944022@qq.com, 崔席勇², 冉瑞生³, 张守贵¹ shgzhang@cqnu.edu.cn

Source: Applied Mathematics & Mechanics (1000-0887). Jul2025, Vol. 46 Issue 7, p916-925. 10p.

Subject Terms: *LAGRANGE problem, *PROBLEM solving, *SADDLERY, *LAGRANGE multiplier

Solving polynomial variational inequality problems via Lagrange multiplier expressions and Moment-SOS relaxations: Solving polynomial variational inequality problems...: J. Nie et al.

Authors: Nie, Jiawang¹ (AUTHOR) njw@math.ucsd.edu, Sun, Defeng² (AUTHOR) defeng.sun@polyu.edu.hk, Tang, Xindong³ (AUTHOR) xdtang@hkbu.edu.hk, Zhang, Min⁴ (AUTHOR) zhangmin1206@gzhu.edu.cn

Source: Computational Optimization & Applications. Mar2025, Vol. 90 Issue 2, p361-394. 34p.

Subject Terms: *ALGORITHMS, LAGRANGE problem, INTERSECTION theory, POLYNOMIALS, LAGRANGE multiplier

Parametric Synthesis of an Adaptive Tracking Filter with Optimization by the Nelder-Mead Method

Authors: Kostoglotov, Andrey, Penkov, Anton, Tavunov, Vladimir

Source: 2024 International Russian Automation Conference (RusAutoCon) Automation Conference (RusAutoCon), 2024 International Russian. :606-610 Sep, 2024

Relation: 2024 International Russian Automation Conference (RusAutoCon)

Issues of optimization of electrical network parameters medium voltage.

Authors: Taslimov, Abdurakhim, Samiev, Shohrukh, Moʻminov, Vaxobiddin, Abdukhalilov, Dilshodbek

Source: AIP Conference Proceedings; 2025, Vol. 3331 Issue 1, p1-7, 7p

Subject Terms: ELECTRIC networks, COST analysis, ELECTRIC substations, OVERHEAD electric lines, VOLTAGE, ELECTRIC conductivity, LAGRANGE problem, MATHEMATICAL optimization

Quadrature formulas for computing Riemann-Liouville fractional integrals.

Authors: Mamatov, Tulkin, Mamatov, Zayniddin, Gaffarov, Khusayn, Xonkulov, Ulugbek

Source: AIP Conference Proceedings; 2025, Vol. 3377 Issue 1, p1-6, 6p

Subject Terms: FRACTIONAL integrals, INTEGRALS, LAGRANGE problem, ERROR functions, LINEAR equations, APPROXIMATION error, MATHEMATICAL functions

An information-theoretic learning model based on importance sampling with application in face verification.

Authors: Zhang, Jiangshe¹ (AUTHOR) jszhang@mail.xjtu.edu.cn, Ji, Lizhen¹ (AUTHOR), Gao, Fei¹ (AUTHOR), Li, Mengyao¹ (AUTHOR), Zhang, Chunxia¹ (AUTHOR), Cui, Yukun¹ (AUTHOR)

Source: Pattern Recognition Letters. Feb2025, Vol. 188, p81-87. 7p.

Subject Terms: *LAGRANGE problem, *INFORMATION theory, *LOGARITHMIC functions, *MACHINE theory, *MACHINE learning, *LAGRANGE multiplier

Method for Solving Geometrically Nonlinear Problems of Bending of Complex-Shaped Plates.

Authors: Sklepus, S. M.¹ (AUTHOR) snsklepus@ukr.net

Source: Journal of Mathematical Sciences. Jan2025, Vol. 287 Issue 2, p346-358. 13p.

Subject Terms: *LAGRANGE problem, *ORDINARY differential equations, *NONLINEAR equations, *RITZ method, *DIFFERENTIAL equations

Accuracy Certificates for Convex Minimization with Inexact Oracle.

Authors: Gladin, Egor^1,2 (AUTHOR) elgladin@hse.ru, Gasnikov, Alexander^3,4,5 (AUTHOR) gasnikov@yandex.ru, Dvurechensky, Pavel⁶ (AUTHOR) pavel.dvurechensky@wias-berlin.de

Source: Journal of Optimization Theory & Applications. Jan2025, Vol. 204 Issue 1, p1-23. 23p.

Subject Terms: *LAGRANGE problem, *SUBGRADIENT methods, *ALGORITHMS

Quadratic and Lagrange interpolation-based butterfly optimization algorithm for numerical optimization and engineering design problem: Quadratic and Lagrange interpolation-based butterfly optimization algorithm for...: S. Sharma et al.

Authors: Sharma, Sushmita^1,2 (AUTHOR), Saha, Apu Kumar³ (AUTHOR) apusaha_nita@yahoo.co.in, Chakraborty, Sanjoy⁴ (AUTHOR), Deb, Suman² (AUTHOR), Sahoo, Saroj Kumar³ (AUTHOR)

Source: Soft Computing - A Fusion of Foundations, Methodologies & Applications. Jan2025, Vol. 29 Issue 1, p157-194. 38p.

Subject Terms: *OPTIMIZATION algorithms, *LAGRANGE problem, *ENGINEERING design, *SEARCHING behavior, *INTERPOLATION

A necessary optimality condition for Lagrange problem with fractional partial system.

Authors: Majewski, Marek

Source: Discrete & Continuous Dynamical Systems - Series B; Nov2025, Vol. 30 Issue 11, p1-11, 11p

Subject Terms: LAGRANGE problem, PARTIAL differential equations, CONTINUOUS functions, INTEGRALS

Quantum (t, n) threshold signature based on shift-code operation and Lagrange unitary operation.

Authors: Zhang, Yaodong, Liu, Feng, Yang, Keshun, Liu, Ning, Zhang, Lijian

Source: Quantum Information Processing; Oct2025, Vol. 24 Issue 10, p1-18, 18p

Subject Terms: DIGITAL signatures, QUANTUM cryptography, LAGRANGE problem, CRYPTOGRAPHY, DATA security, COMPUTER performance, DATA encryption, SIMULATION methods & models

A Globally Optimal Alternative to MLP.

Authors: Li, Zheng, Cheng, Jerry, Gu, Huanying Helen

Source: Information; Oct2025, Vol. 16 Issue 10, p921, 22p

Subject Terms: DEEP learning, GLOBAL optimization, MULTILAYER perceptrons, BIG data, LAGRANGE problem, MATHEMATICAL optimization, COMPUTER performance

Improved torque ripple minimization of SynRM with optimal multi-frequency harmonic current tracking.

Authors: Zhao, Yuanzhe, Ren, Zhaowei, Zhang, Lushuang, Wang, Huan, Ren, Sizhe, Lin, Guobin, Ren, Linjie

Source: Electrical Engineering; Oct2025, Vol. 107 Issue 10, p12767-12780, 14p

Subject Terms: RELUCTANCE motors, ELECTRICAL harmonics, SIGNAL processing, MAGNETIC circuits, PID controllers, ADAPTIVE filters, LAGRANGE problem

Tsallis entropy analysis in spatial networks with applications to wireless networks.

Authors: Kazemi, Om Kolsoom, Taheri, Seyed Mahmoud

Source: Journal of Complex Networks; Oct2025, Vol. 13 Issue 5, p1-18, 18p

Subject Terms: INFORMATION theory, ENTROPY, UNCERTAINTY (Information theory), RANDOM graphs, SPATIAL data structures, WIRELESS communications, LAGRANGE problem

On the Lagrange and Euler variational formulations of linear ideal magnetohydrodynamics.

Authors: Zheng, Linjin

Source: Physics of Plasmas; Oct2025, Vol. 32 Issue 10, p1-9, 9p

Subject Terms: MAGNETOHYDRODYNAMICS, PLASMA dynamics, VARIATIONAL approach (Mathematics), MAGNETIC fields, FLUID mechanics, LAGRANGE problem

FEEDBACK MINIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH TERMINAL CONDITIONS AND ITS EXTENSIONS.

Authors: Dykhta, V. A.

Source: Journal of Mathematical Sciences; Sep2025, Vol. 293 Issue 3, p360-371, 12p

Subject Terms: OPTIMAL control theory, MATHEMATICAL optimization, LAGRANGE problem, OPTIMIZATION algorithms

Optimization-based fault-tolerant control for dual three-phase PMSMs with enhanced torque and efficiency under open-phase and short-circuit faults.

Authors: Rahmani-Fard, Javad, Mohammed, Mohammed Jamal, Chyad, Mustafa Habeeb, Ridha, Ali Mohammed

Source: Electrical Engineering; Sep2025, Vol. 107 Issue 9, p12423-12433, 11p

Subject Terms: TORQUE, PERMANENT magnet motors, ELECTRIC loss in electric power systems, LAGRANGE problem, FAULT-tolerant control systems, FAULT currents

A Lagrange-Based Multi-Objective Framework for Wind–Thermal Economic Emission Dispatch.

Authors: Mbangeni, Litha, Krishnamurthy, Senthil

Source: Processes; Sep2025, Vol. 13 Issue 9, p2814, 29p

Subject Terms: WIND power, FUEL costs, OPTIMIZATION algorithms, RESOURCE allocation, SUSTAINABILITY, LAGRANGE problem, GREENHOUSE gas mitigation, MULTI-objective optimization

On The Lattie Of Subgroup Of The Group Of Upper Triangular Matrices Of Matrix Group.

Authors: R., Rosie Gracia, A., Vethamanickam

Source: International Journal of Environmental Sciences (2229-7359); 2025 Special Issue, Vol. 11, p878-900, 23p

Subject Terms: LATTICE theory, MATRICES (Mathematics), SYLOW subgroups, LAGRANGE problem, MODULAR arithmetic, PRIME numbers