QUADRATIC

作品数：643被引量：699H指数：11
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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 
Linear-Quadratic Pareto Cooperative Game for Mean-Field Backward Stochastic System
《Journal of Systems Science & Complexity》2024年第3期947-964,共18页WANG Yu 
supported by the National Key R&D Program of China under Grant No. 2022YFA1006103;the National Natural Science Foundation of China under Grant Nos. 61821004, 61925306, and 11831010;the Natural Science Foundation of Shandong Province under Grant Nos. ZR2019ZD42 and ZR2020ZD24。
This paper focuses on a Pareto cooperative differential game with a linear mean-field backward stochastic system and a quadratic form cost functional. Based on a weighted sum optimality method, the Pareto game is equi...
关键词：Backward stochastic differential equation linear-quadratic control MEAN-FIELD Pareto optimality 
Unified Variable Selection for Varying Coefficient Models with Longitudinal Data被引量：1
《Journal of Systems Science & Complexity》2023年第2期822-842,共21页XU Xiaoli ZHOU Yan ZHANG Kongsheng ZHAO Mingtao 
supported in part by the National Science Foundation of China under Grant Nos.12071305and 71803001;in part by the national social science foundation of China under Grant No.19BTJ014;in part by the University Social Science Research Project of Anhui Province under Grant No.SK2020A0051;in part by the Social Science Foundation of the Ministry of Education of China under Grant Nos.19YJCZH250 and 21YJAZH081。
Variable selection for varying coefficient models includes the separation of varying and constant effects,and the selection of variables with nonzero varying effects and those with nonzero constant effects.This paper ...
关键词：Double-penalized quadratic inference functions longitudinal data variable selection varying coefficient models 
The Center Problem and Time-Reversibility with Respect to a Quadratic Involution for a Class of Polynomial Differential Systems with Order 2 or 3
《Journal of Systems Science & Complexity》2022年第4期1608-1636,共29页YANG Jing YANG Ming LU Zhengyi 
partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education(SRFDP,China)under Grant No.20115134110001。
Most studies of the time-reversibility are limited to a linear or an affine involution.In this paper,the authors consider the case of a quadratic involution.For a polynomial differential system with a linear part in t...
关键词：Center polynomial differential systems quadratic involution regular chains time-reversibility 
Uniform Convergence of the Solutions of Riccati Equations for a Family of Optimal Control Problems
《Journal of Systems Science & Complexity》2020年第1期74-86,共13页GE Zhaoqiang 
supported by the National Natural Science Foundation of China under Grant No.61174081.
The uniform convergence of the solutions of a parameterized family of Riccati differential equations which arise in the context of optimal control problems for systems described by a family of linear time-varying evol...
关键词：HILBERT space linear QUADRATIC control problems RICCATI differential EQUATIONS timevarying evolution systems UNIFORM CONVERGENCE 
A QUADRATIC OBJECTIVE PENALTY FUNCTION FOR BILEVEL PROGRAMMING被引量：2
《Journal of Systems Science & Complexity》2014年第2期327-337,共11页JIANG Min MENG Zhiqing SHEN Rui XU Xinsheng 
supported by the National Natural Science Foundation of China under Grant Nos.11271329 and 10971193
The bilevel programming is applied to solve hierarchical intelligence control problems in such fields as industry, agriculture, transportation, military, and so on. This paper presents a quadratic objective penalty fu...
关键词：ALGORITHM bilevel programming penalty function quadratic objective. 
TIME-OPTIMAL INTERPOLATION FOR CNC MACHINING ALONG CURVED TOOL PATHES WITH CONFINED CHORD ERROR被引量：4
《Journal of Systems Science & Complexity》2013年第5期836-870,共35页YUAN Chunming ZHANG Ke FAN Wei 
supported by a National Key Basic Research Project of China under Grant No.2011CB302400;the National Natural Science Foundation of China under Grant No.60821002
In this paper, two new interpolation algorithms lot CNC machining along curve^l tom pathes are proposed： a time-optimal interpolation algorithm under chord error, feedrate, and tangential acceleration bounds, and a g...
关键词：Chord error CNC interpolation cubic PH curve JERK quadratic B-spline time-optimalvelocity planning velocity limit curve. 
BACKWARD LINEAR-QUADRATIC STOCHASTIC OPTIMAL CONTROL AND NONZERO-SUM DIFFERENTIAL GAME PROBLEM WITH RANDOM JUMPS
《Journal of Systems Science & Complexity》2011年第4期647-662,共16页Detao ZHANG 
supported by National Natural Science Foundation of China(10671112);National Basic Research Program of China(973 Program)(2007CB814904);the Natural Science Foundation of Shandong Province(Z2006A01)
This paper studies the existence and uniqueness of solutions of fully coupled forward-backward stochastic differential equations with Brownian motion and random jumps.The result is applied to solve a linear-quadratic ...
关键词：Backward stochastic differential equations nonzero-sum differential game optimal con-trol poisson processes Riccati equation. 
DYNAMICAL ANALYSIS OF A 3-D CHAOTIC SYSTEM WITH ONLY TWO QUADRATIC NONLINEARITIES被引量：3
《Journal of Systems Science & Complexity》2008年第1期67-75,共9页Zeraoulia ELHADJ 
The paper reports the dynamical study of a three-dimensional quadratic autonomous chaotic system with only two quadratic nonlinearities, which is a special case of the so-called conjugate Lue system. Basic properties ...
关键词：Bifurcation conjugate attractors DEGENERATION Lyapunov exponent quadratic chaotic system. 
QUADRATIC ADMISSIBLE ESTIMATE OF COVARIANCE IN PSEUDO-ELLIPTICAL CONTOURED DISTRIBUTION被引量：1
《Journal of Systems Science & Complexity》2006年第2期236-255,共20页Hengjian CUI Xiuhong GAO 
The research was partially supported by the Doctoral Programme of Higher Education(No.20020027010)of China.
This article mainly discusses the admissibility of quadratic estimate of covariance in pseudoelliptical distribution. Under the quadratic loss function, the necessary and sufficient conditions that a quadratic estimat...
关键词：ADMISSIBILITY COVARIANCE quadratic estimator quadratic loss function. 
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