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Lower Bounds of Optimal Exponentials of Thickness in geometry Rigidity Inequality for Shells

Journal of Systems Science & Complexity 2021年第6期34卷 2092-2108页

作者： YAO Pengfei Key Laboratory of Systems and Control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 1QQ190China School of Mathematical Sciences University of Chinese Academy of Sciences Beijing 100049China

The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the *** author obtains that the lower bounds of the optimal exponentials are 4/3,3/2,and 1,for hyp... 详细信息

关键词： geometry rigidity inequality shell nonlinear elasticity riemannian geometry

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riemannian geometric approach to optimal binocular rotation,pyramid based interpolation and bio-mimetic pan-tilt movement

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Autonomous Intelligent Systems 2021年第1期1卷 13-31页

作者： Bijoy KGhosh Bhagya Athukorallage Department of Mathematics and Statistics Texas Tech UniversityLubbockTexas 79409-1042USA School of Automation Engineering University of Electronic Science and Technology of ChinaChengduSichuan 610054China

Over the past several years,we have been studying the problem of optimally rotating a rigid sphere about its center,where the rotation is actuated by a triplet of external torques acting on the *** control objective is to repeatedly direct a suitable radial vector,called the gaze vector,towards a stationary point target in R^(3).The orientation of the sphere is constrained to lie in a suitable submanifold of SO(3).Historically,the constrained rotational movements were studied by physiologists in the nineteenth century,interested in eye and head *** this paper we revisit the gaze control problem,where two visual sensors,are tasked to simultaneously stare at a point target in the visual *** target position changes discretely and the problem we consider is how to reorient the gaze directions of the sensors,along the optimal pathway of the human eyes,to the new location of the *** is done by first solving an optimal control problem on the human binocular ***,we use these optimal control and show that a pan-tilt system can be controlled to follow the gaze trajectory of the human eye requiring a nonlinear static feedback of the pan and tilt angles and their *** problem formulation uses a new riemannian geometric description of the orientation *** paper also introduces a new,pyramid based interpolation method,to implement the optimal controller.

关键词： Binocular vision riemannian geometry Optimal control Pyramid based interpolation Bio-Mimetic Pan-Tilt rotation

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Exact controllability of a structural acoustic system with variable coefficient and curved wall 36

Exact controllability of a structural acoustic system with v...

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第36届中国控制会议

作者： Fengyan Yang Pengfei Yao Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences

ISBN: (纸本)9781538629185

This paper is concerned with the exact controllability of a structural acoustic system with two controls, which consists of an interior acoustic wave equation with variable coefficient and a coupled Kirchoff plate with a curved middle surface. We use the riemannian geometrical approach and the multiplier technique to prove the corresponding observability inequality. And the exact controllability of this system is finally established under verifiable assumptions on the geometry of the interior domain and the interface.

关键词： exact controllability structural acoustic system variable coefficient curved wall riemannian geometry

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Relativistic Quantum Mechanical Condition for Expansion of the Universe

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Journal of High Energy Physics, Gravitation and Cosmology 2021年第3期7卷 1049-1088页

作者： Nishant Kumar Sharma S.B. SGOVT.P G College Kumaun University Nainital India

In this manuscript, we will discuss about the quantum mechanical system for the movement of non-intractable particle, non-intractable particle which attends every mass state in the universe, the form of a non-intractable particle is n = -m, this manuscript defines the stable cross system for the movement of n-i particles and elementary particles with a perfect black body at centre with proofs of picture of super massive black hole, the linear hamiltonian of the cross quantum mechanical system and with this, it’s co-related matrixes, then by the use of cross system of Non-Intractable Particles defining a new right angel theorem. Then the new black body relation free from plank constant depends on non interactive mechanics and m, which has already mentioned in non-interactive mechanics and it’s relation with galaxies. The unique property of cross system is that it is surrounded by the energy of 10e + e always, and at last the relation between zero point energy and dark energy.

关键词： riemannian geometry Euclidean geometry Right Angel Theorem Factors for the Expansion of Universe Black Body Radiation Cosmic Form of the Nishant Effect

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An algorithm of Model Selection for Support Vector Regression

An algorithm of Model Selection for Support Vector Regressio...

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2012年计算机应用与系统建模国际会议

作者： Li Xuesi Yang Hongqiao Sun Jing Bi Yangang Wu Yuanli The 309th Hospital of PLA Tsinghua University

To solve the problem of SVR (support vector regression) model selection, this paper proposed a SVM (support vector machine) model parameter optimization algorithm based on gradient descent algorithm. The algorithm obtained the local optimal model parameter by minimizing the model evaluation criteria over the parameter set. Then on the basis of riemannian geometry, a conformal transformation suitable for SVR was proposed which corrected kernel function in a data-based way. This algorithm can further enhance the generalization ability of SVR. The simulated results are illustrated to show the feasibility and effectiveness of the algorithm.

关键词： support vector regression (SVR) model selection gradient descent riemannian geometry

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