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On Quadratic Left Leibniz Algebras and Related Lie-Yamaguti Structures
《Journal of Mathematical Research with Applications》2025年第2期152-162,共11页A.Nourou ISSA 
A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is int...
关键词：Leibniz algebra T^(*)-extension Lie-Yamaguti algebra 
RECONSTRUCTION-BASED A POSTERIORI ERROR ESTIMATES FOR THE L1 METHOD FOR TIME FRACTIONAL PARABOLIC PROBLEMS
《Journal of Computational Mathematics》2025年第2期345-368,共24页Jiliang Cao Aiguo Xiao Wansheng Wang 
supported by the Natural Science Foundation of China(Grants 12271367,12071403);by the Shanghai Science and Technology Planning Projects(Grant 20JC1414200).
In this paper,we study a posteriori error estimates of the L1 scheme for time discretizations of time fractional parabolic differential equations,whose solutions have generally the initial singularity.To derive optima...
关键词：Time fractional parabolic differential equations A posteriori error estimates Ll method Fractional integral reconstruction Quadratic reconstruction 
Chirped solutions and dynamical properties of the resonant Schr?dinger equation with quadratic-cubic nonlinearity
《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期223-237,共15页TANG Jia-xuan 
In this paper, the nonlinear Schr?dinger equation combining quadratic-cubic nonlinearity is considered, which can be represented by an approximate model of relatively dense quasi-one-dimensional Bose-Einstein condensa...
关键词：chirped solutions bifurcation theory trial equation method quadratic-cubic nonlinearity non-linear waves 
Non-homogeneous stochastic linear-quadratic optimal control problems with multidimensional state and regime switching
《Probability, Uncertainty and Quantitative Risk》2025年第1期13-30,共18页Yuyang Chen Peng Luo 
Financial support from the National Natural Science Foundation of China(Grant Nos.12101400 and 12326603)is gratefully acknowledged。
In this paper,we explore non-homogeneous stochastic linear-quadratic(LQ)optimal control problems with multidimensional states and regime switching.We focus on the corresponding stochastic Riccati equation(SRE),which m...
关键词：Non-homogeneous stochastic LQ problem Regime switching Multidimensional state BSDE Unbounded coefficients 
Iterated rational quadratic kernel-High-order unscented Kalman filtering algorithm for spacecraft tracking
《Defence Technology(防务技术)》2025年第3期238-250,共13页Xinru Liang Changsheng Gao Wuxing Jing Ruoming An 
supported by the National Natural Science Foundation of China under Grant No.12072090.
The high-speed development of space defense technology demands a high state estimation capacity for spacecraft tracking methods.However,reentry flight is accompanied by complex flight environments,which brings to the ...
关键词：Kernel method Rational quadratic(RQ)kernel High-order sigma points SPACECRAFT Reentry vehicles 
Risk-Sensitive Linear-Quadratic Mean-Field Games:Asymptotic Solvability and Decentralized O(1/N)-Nash Equilibria In honour of the 80th birthday of Professor Peter Caines
《Journal of Systems Science & Complexity》2025年第1期436-459,共24页WANG Yu HUANG Minyi 
supported by Natural Sciences and Engineering Research Council(NSERC)of Canada.
This paper considers risk-sensitive linear-quadratic mean-field games.By the so-called direct approach via dynamic programming,the authors determine the feedback Nash equilibrium in an N-player game.Subsequently,the a...
关键词：Asymptotic Nash equilibria decentralized strategies linear-quadratic mean-field games risk-sensitive costs 
WONG-ZAKAI APPROXIMATIONS FOR STOCHASTIC VOLTERRA EQUATIONS
《Journal of Computational Mathematics》2024年第6期1526-1553,共28页Jie Xu Mingbo Zhang 
support provided by the Key Scientific Research Project Plans of Henan Province Advanced Universities(No.24A110006);the NSFs of China(Grant Nos.11971154,12361030);by the Science and Technology Foundation of Jiangxi Education Department(Grant No.GJJ190265)。
In this paper,we shall prove a Wong-Zakai approximation for stochastic Volterra equations under appropriate assumptions.We may apply it to a class of stochastic differential equations with the kernel of fractional Bro...
关键词：Stochastic Volterra equations Wong-Zakai approximations Fractional Brownian motion Subfractional Brownian motion Quadratic mean convergence 
Harnessing quantum power:Revolutionizing materials design through advanced quantum computation
《Materials Genome Engineering Advances》2024年第4期2-25,共24页Zikang Guo Rui Li Xianfeng He Jiang Guo Shenghong Ju 
supported by the Shanghai Key Fundamental Research Grant(No.21JC1403300).
The design of advanced materials for applications in areas of photovoltaics,energy storage,and structural engineering has made significant strides.However,the rapid proliferation of candidate materials—characterized ...
关键词：active learning framework materials design and optimization quadratic unconstrained binary optimization quantum machine learning 
Revisiting the LQR Problem of Singular Systems
《IEEE/CAA Journal of Automatica Sinica》2024年第11期2236-2252,共17页Komeil Nosrati Juri Belikov Aleksei Tepljakov Eduard Petlenkov 
supported by the European Union’s Horizon Europe research and innovation programme (101120657);project ENFIELD (European Lighthouse to Manifest Trustworthy and Green AI), the Estonian Research Council (PRG658, PRG1463);the Estonian Centre of Excellence in Energy Efficiency, ENER (TK230) funded by the Estonian Ministry of Education and Research。
In the development of linear quadratic regulator(LQR) algorithms, the Riccati equation approach offers two important characteristics——it is recursive and readily meets the existence condition. However, these attribu...
关键词：DC motor optimal control penalized weighted regression power system quadratic regulator singular system 
An Online Q-Learning Method for Linear-Quadratic Nonzero-Sum Stochastic Differential Games with Completely Unknown Dynamics
《Journal of Systems Science & Complexity》2024年第5期1907-1922,共16页ZHANG Bao-Qiang WANG Bing-Chang CAO Ying 
supported in part by the National Natural Science Foundation of China under Grant Nos.62122043,62192753;in part by Natural Science Foundation of Shandong Province for Distinguished Young Scholars under Grant No.ZR2022JQ31;in part by the Innovative Research Groups of the National Natural Science Foundation of China under Grant No.61821004.
In this paper,the authors design a reinforcement learning algorithm to solve the adaptive linear-quadratic stochastic n-players non-zero sum differential game with completely unknown dynamics.For each player,a critic ...
关键词：Actor-critic algorithm model-free adaptive control nonzero-sum stochastic game reinforcement learning 
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