Search Results - convex stability problems

Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems by Wei, Zhou, Théra, Michel, Yao, Jen-Chih

“…Our work demonstrates that verifying the stability of error bounds for convex inequality constraint systems is, to some degree, equivalent to solving convex minimization problems (defined by directional derivatives) over the unit sphere.…”
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On the Construction of Mathematical Models of the Membrane Theory of Convex Shells by E. V. Tyurikov

“…The obtained result, when applied to shallow convex shells, provides a geometric criterion of quasi-stability. …”
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Stability of Weak Rescaled Pure Greedy Algorithms by Wan Li, Man Lu, Peixin Ye, Wenhui Zhang

“…We study the stability of Weak Rescaled Pure Greedy Algorithms for convex optimization, WRPGA(co), in general Banach spaces. …”
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Cervical Cell Nuclear Segmentation Method Based on Optimized MSER Algorithm by HE Yong jun, ZHANG Xue yuan, SHAO Hui li, DING Bo

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ATTRACTION SETS IN ATTAINABILITY PROBLEMS WITH ASYMPTOTIC-TYPE CONSTRAINTS by Alexander G. Chentsov

“…However, under perturbations of constraints, this problem lacks stability. It is useful to single out the case when the constraints are relaxed. …”
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Optimization Configuration of Electric–Hydrogen Hybrid Energy Storage System Considering Power Grid Voltage Stability by Yunfei Xu, Yiqiong He, Hongyang Liu, Heran Kang, Jie Chen, Wei Yue, Wencong Xiao, Zhenning Pan

“…The Multi-Objective Artificial Hummingbird Algorithm (MOAHA) is adopted due to its faster convergence and superior ability to maintain solution diversity compared to classical algorithms such as NSGA-II and MOEA/D, making it well-suited for solving complex non-convex planning problems. The simulation results demonstrate that the proposed optimization planning method effectively improves the voltage distribution and net load level of the IES distribution network, while the complementary characteristics of the electric–hydrogen hybrid energy storage system enhance the operational flexibility of the IES.…”
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REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS by Mikhail I. Sumin

“…This article is devoted to studying dual regularization method applied to parametric convex optimal control problem of controlled third boundary–value problem for parabolic equation with boundary control and with equality and inequality pointwise state constraints. …”
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A Two-Step Projected Iterative Algorithm for Tropospheric Water Vapor Tomography by Shangyi Liu, Kefei Zhang, Suqin Wu, Wenyuan Zhang, Longjiang Li, Moufeng Wan, Jiaqi Shi, Minghao Zhang, Andong Hu

“…The tropospheric tomography is an ill-posed inversion problem due to the sparsity of global navigation satellite systems (GNSS) stations and the limitation on the projection angles of GNSS signals, which in turn affects the stability and robustness of the tomographic solution. …”
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Application of <inline-formula><tex-math notation="LaTeX">$L_{1}-L_{2}$</tex-math></inline-formula> Regularization in Sparse-View Photoacoustic Imaging Reconstruction by Mengyu Wang, Shuo Dai, Xin Wang, Xueyan Liu

“…This article focuses on the significance of utilizing <inline-formula><tex-math notation="LaTeX">$L_{1}-L_{2}$</tex-math></inline-formula> norm based on the difference of convex algorithm (DCA) in sparse photoacoustic image reconstruction. …”
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Winding number criterion for the origin to belong to the numerical range of a matrix on a loop of matrices by Cheng Guo, Shanhui Fan

“…The numerical range of a matrix is a compact convex set in the complex plane that contains the convex hull of the spectrum of the matrix. …”
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A smooth gain scheduling generalized predictive control by Yassine Himour, Mohamed Tadjine, Mohamed-Seghir Boucherit

“…However, it suffers from many hurdles such as the numerical problems related to the resulting no convex nonlinear optimization problem, time consuming, and difficulties in analyzing properties such as stability. …”
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Robust switching control design for matrix second order systems: Application to robotic cane platform by Ivan Yupanqui, Macarena Vilca, Renzo Mendoza, Alain Chupa, Diego Arce, Jesús Alan Calderón, Bryan Bastidas, Miguel Badillo

“…The approach leverages the Linear Parameter Varying (LPV) representation of the nonlinear dynamics through Takagi–Sugeno (T-S) modeling methodology. The proposed stability conditions are formulated as Linear Matrix Inequalities (LMIs), enabling efficient computation using standard convex optimization software. …”
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Study on pulsed-arc welding issues at the Machines and Welding Production Automation Department, RIAE — DSTU by V. A. Lenivkin, D. V. Rogozin

“…The history of solving the problem of welding structures made of stainless and heat-resistant metals and alloys goes back several decades. …”
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Composite Learning-Based Inverse Optimal Fault-Tolerant Control for Hierarchy-Structured Unmanned Helicopters by Qingyi Liu, Ke Zhang, Bin Jiang, Yushun Tan

“…This article investigates the inverse optimal fault-tolerant formation-containment control problem for a group of unmanned helicopters, where the leaders form a desired formation pattern under the guidance of a virtual leader while the followers move toward the convex hull established by leaders. …”
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Tensor decomposition based-joint active device detection and channel estimation under frequency offset by QU Ruiyun, LIU Zujun, HUANG Beilei

“…Moreover, in order to make the subproblem strictly convex, the proximal minimization (PM) method was used to add the regularization constraints, which improved the convergence and stability of the proposed JADCE algorithm. …”
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Cooperative Jamming for RIS-Assisted UAV-WSN Against Aerial Malicious Eavesdropping by Juan Li, Gang Wang, Weijia Wu, Jing Zhou, Yingkun Liu, Yangqin Wei, Wei Li

“…Then, each subproblem is convexified by successive convex approximation (SCA). The numerical results demonstrate that the designed algorithm demonstrates extremely strong stability and reliability during the convergence process. …”
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Theoretical prerequisites for the bionic substantiation of spring soil leveler working bodies parameters by L. F. Babitsky, I. V. Sobolevsky, V. A. Kuklin

“…The main solution to this problem is to improve the design of aligners using a mechanical-bionic approach for the analytical description of the optimal forms and parameters of their working bodies. …”
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ANALYSIS OF CONTACT LOADS CONCENTRATION IN PRESSURE COUPLINGS OF THIN-WALL COMPONENTS by S. V. Shishkin

“…This article discusses a numeric solution to the contact problem. The solution is introducing into the calculations a conventional boundary layer, any shift of which is equivalent to a roughness deformation of fitting surfaces. …”
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