Numerical Algebra Control and Optimization最新文献_第3页

Fractional-order mathematical modeling of COVID-19 dynamics with different types of transmission 不同传播类型下COVID-19动态的分数阶数学建模

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2023-01-01 DOI: 10.3934/naco.2023019

Mohamed Amouch, N. Karim

引用次数: 2

Optimality conditions and constraint qualifications for cardinality constrained optimization problems 基数约束优化问题的最优性条件和约束条件

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-09-17 DOI: 10.3934/naco.2023011

Zhuo-Feng Xiao, J. Ye

{"title":"Optimality conditions and constraint qualifications for cardinality constrained optimization problems","authors":"Zhuo-Feng Xiao, J. Ye","doi":"10.3934/naco.2023011","DOIUrl":"https://doi.org/10.3934/naco.2023011","url":null,"abstract":"The cardinality constrained optimization problem (CCOP) is an optimization problem where the maximum number of nonzero components of any feasible point is bounded. In this paper, we consider CCOP as a mathematical program with disjunctive subspaces constraints (MPDSC). Since a subspace is a special case of a convex polyhedral set, MPDSC is a special case of the mathematical program with disjunctive constraints (MPDC). Using the special structure of subspaces, we are able to obtain more precise formulas for the tangent and (directional) normal cones for the disjunctive set of subspaces. We then obtain first and second order optimality conditions by using the corresponding results from MPDC. Thanks to the special structure of the subspace, we are able to obtain some results for MPDSC that do not hold in general for MPDC. In particular we show that the relaxed constant positive linear dependence (RCPLD) is a sufficient condition for the metric subregularity/error bound property for MPDSC which is not true for MPDC in general. Finally we show that under all constraint qualifications presented in this paper, certain exact penalization holds for CCOP.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"30 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83407789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dehomogenization for completely positive tensors 完全正张量的非均质化

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-06-25 DOI: 10.3934/naco.2022037

Jiawang Nie, Xindong Tang, Zi Yang, Suhan Zhong

引用次数: 1

Approximation of $ N $-player stochastic games with singular controls by mean field games 用平均场对策逼近具有奇异控制的N人随机对策

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-02-14 DOI: 10.3934/naco.2023001

Haoyang Cao, Xin Guo, Joon Seok Lee

引用次数: 2

Random sets and Choquet-type representations 随机集和choquet型表示

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-16 DOI: 10.3934/naco.2023008

cCaugin Ararat, Umur Cetin

引用次数: 1

Forward-backward stochastic differential equations: Initiation, development and beyond 正反向随机微分方程:开始、发展及以后

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI: 10.3934/naco.2022011

J. Yong

引用次数: 0

An improved projection algorithm for variational inequality problem with multivalued mapping 多值映射变分不等式问题的一种改进投影算法

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI: 10.3934/naco.2022002

Ouafa Belguidoum, Hassina Grar

引用次数: 1

Modeling the relationship between outdoor meteorological data and energy consumptions at heating and cooling periods: Application in a university building 室外气象数据与冷暖期能耗关系的建模:在某高校建筑中的应用

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI: 10.3934/naco.2022021

O. Kon, B. Yuksel, A. D. Karaoglan

{"title":"Modeling the relationship between outdoor meteorological data and energy consumptions at heating and cooling periods: Application in a university building","authors":"O. Kon, B. Yuksel, A. D. Karaoglan","doi":"10.3934/naco.2022021","DOIUrl":"https://doi.org/10.3934/naco.2022021","url":null,"abstract":"In this study regression modeling is proposed for calculating the heating and cooling load of the buildings by considering the outdoor meteorological data. For this pupose, Balikesir University Rectorate Building is selected as the case building. In the winter months, measurements were made in the hot water boiler in the basement of the building for the heating energy load. For the cooling energy load, measurements were made in the chiller groups near the building. As climate data, eight variables were considered: outdoor temperature, solar radiation, relative humidity, wind speed, atmospheric pressure, sunshine duration, steam pressure, and 1 m underground temperature. The Minitab statistical analysis program was used to perform the modeling. 55 samples were used for mathematically modeling the heating load, while 37 samples are used for modeling the cooling load. The Rbegin{document}$ {}^{2 } $end{document}(coefficient of determination) values are calculated as 96.2% and 98.94% for cooling load and heating load, respectively. In addition to these findings, ANOVA results for both models were examined and both models were found to be significant.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"25 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81476654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An active set solver for constrained $ H_infty $ optimal control problems with state and input constraints 具有状态约束和输入约束的受限$ H_infty $最优控制问题的主动集求解器

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI: 10.3934/naco.2021056

Canghua Jiang, Dongming Zhang, Chi Yuan, K. L. Teo

{"title":"An active set solver for constrained $ H_infty $ optimal control problems with state and input constraints","authors":"Canghua Jiang, Dongming Zhang, Chi Yuan, K. L. Teo","doi":"10.3934/naco.2021056","DOIUrl":"https://doi.org/10.3934/naco.2021056","url":null,"abstract":"This paper proposes an active set solver for begin{document}$ H_infty $end{document} min-max optimal control problems involving linear discrete-time systems with linearly constrained states, controls and additive disturbances. The proposed solver combines Riccati recursion with dynamic programming. To deal with possible degeneracy (i.e. violations of the linear independence constraint qualification), constraint transformations are introduced that allow the surplus equality constraints on the state at each stage to be moved to the previous stage together with their Lagrange multipliers. In this way, degeneracy for a feasible active set can be determined by checking whether there exists an equality constraint on the initial state over the prediction horizon. For situations when the active set is degenerate and all active constraints indexed by it are non-redundant, a vertex exploration strategy is developed to seek a non-degenerate active set. If the sampled state resides in a robust control invariant set and certain second-order sufficient conditions are satisfied at each stage, then a bounded begin{document}$ l_2 $end{document} gain from the disturbance to controlled output can be guaranteed for the closed-loop system under some standard assumptions. Theoretical analysis and numerical simulations show that the computational complexity per iteration of the proposed solver depends linearly on the prediction horizon.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"22 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82635824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Distributionally Robust Optimization: A review on theory and applications 分布鲁棒优化:理论与应用综述

IF 1.3

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI: 10.3934/naco.2021057

Fengming Lin, X. Fang, Zheming Gao

引用次数: 52