关键词:
3D Navier-Stokes-Voigt equations;admissible trajectories set;admissible control set;feedback control;time optimal control
摘要:
Abstract: In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for the asymmetrical 3D Navier–Stokes–Voigt equations by using the well-known Cesari property and the Fillippove’s theorem. Secondly, we study the existence result of a time optimal control for the feedback control systems. Lastly, asymmetrical Clarke’s subdifferential inclusions and asymmetrical 3D Navier–Stokes–Voigt differential variational inequalities are given to explain our main results. Keywords: 3D Navier–Stokes–Voigt equations; admissible trajectories set; admissible control set; feedback control; time optimal control
作者机构:
[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.;[Zhao, Yige] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
通讯机构:
[Zhao, YG ] U;[Yan, R ] H;Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.;Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
摘要:
In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green's function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer's fixed-point theorem. Finally, two examples are given to illustrate the main results.
摘要:
In the past ten years, networking experts have been more concerned about the rising energy consumption of communication networks. The software-defined networks approach is a way to make diverse and complicated network topologies simpler, more manageable, more adaptable, and more effective, including wireless body area networks. In order to streamline network administration, save operational costs, and promote innovation, software-defined networks are emerging as a new networking architecture that separates the data plane from the control plane. However, despite the importance of this issue, so far, no bibliometric study has been done on this issue. Hence, this study aims to use methods drawn from nature to optimize power usage in software-defined networks. Additionally, a thorough and original categorization of energy-efficient solutions has been offered. During the bibliographic review, the sections of interest of researchers and some bibliographic information in the form of statistical information are expressed. Therefore, searching and selecting relevant keywords are done using the VOSviewer tool. The data is extracted from valid databases. Guidelines for future research on software-defined networks are derived based on the existing research projects' findings and the gaps and constraints that have been found. The results showed that the algorithms inspired by nature were successful in striking a balance among resource usage, energy consumption, and network performance.
作者机构:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China;School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, China;[Yi Yang] School of Mathematics, Hunan City University, Yiyang, China;[Su-Han Zhong] Department of Mathematics, Texas A &M University, College Station, USA;[Liu Yang] Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China<&wdkj&>School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, China
通讯机构:
[Liu Yang] H;Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China<&wdkj&>School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, China
关键词:
Portfolio selection model;High-order moments;Moment-SOS relaxation;Perturbation sample average approximation
摘要:
In this paper, we study the global optimality of polynomial portfolio optimization (PPO). The PPO is a kind of portfolio selection model with high-order moments and flexible risk preference parameters. We introduce a perturbation sample average approximation method, which can give a robust approximation of the PPO in form of linear conic optimization. The approximated problem can be solved globally with Moment-SOS relaxations. We summarize a semidefinite algorithm, which can be used to find reliable approximations of the optimal value and optimizer set of the PPO. Numerical examples are given to show the efficiency of the algorithm.