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Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems Journal article
Studies in Applied Mathematics, 2021,Volume: 146,Issue: 1,Page: 118-138
Authors:  Lyu,Shulin;  Chen,Yang
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Gaussian unitary ensembles  Hankel determinant  orthogonal polynomials  Painlevé equations  
Galerkin method-based model predictive control for mid-long term voltage stability enhancement Journal article
IET GENERATION TRANSMISSION & DISTRIBUTION, 2020,Volume: 14,Issue: 22,Page: 5302-5309
Authors:  Bingqing Xia;  Hao Wu;  Danfeng Shen;  Xiang Zheng;  Wen Hua;  Yonghua Song
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Polynomials  Galerkin Method  Power System Control  Optimisation  Power System Stability  Power System Transient Stability  Polynomial Approximation  Predictive Control  Galerkin Method-based Model Predictive Control  Mid-long Term Voltage Stability Enhancement  Slow Dynamic Elements  Protection Devices  Power System  Mpc  Voltage Stability Control  Prediction Model  Control Scheme  Galerkin Method-based Polynomial Approximation  Mid-long Term System Trajectories  Control Parameters  Polynomial Function  Prediction Accuracy  
Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations Journal article
Journal of Physics A: Mathematical and Theoretical, 2020,Volume: 53,Issue: 35
Authors:  Hu,Jie;  Dzhamay,Anton;  Chen,Yang
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birational transformations  difference equations  orthogonal polynomials  Painleve equations  
Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights Journal article
Journal of Difference Equations and Applications, 2020,Volume: 26,Issue: 7,Page: 1000-1012
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
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asymptotic  Bi-confluent Heun equation  Orthogonal polynomials  semi-classical  
On semiclassical orthogonal polynomials associated with a Freud-type weixght Journal article
Mathematical Methods in the Applied Sciences, 2020,Volume: 43,Issue: 8,Page: 5295-5313
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
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asymptotics  bounds  Freud-type weight  orthogonal polynomials  semiclassical  
Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble Journal article
Random Matrices: Theory and Application, 2020,Volume: 9,Issue: 2
Authors:  Min,Chao;  Chen,Yang
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asymptotics  degenerate Laguerre unitary ensemble  Hankel determinant  ladder operators  orthogonal polynomials  Painlevé equations  
Orthogonal polynomials with a semi-classical weight and their recurrence coefficients Journal article
IEEE Access, 2020,Volume: 8,Page: 83916-83925
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
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Asymptotics  hankel determinant  orthogonal polynomials  semi-classical  
On Determinant Expansions for Hankel Operators Journal article
Concrete Operators, 2020,Volume: 7,Issue: 1,Page: 13-44
Authors:  Blower,Gordon;  Chen,Yang
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linear systems  orthogonal polynomials  special functions  Wiener-Hopf  
Explicit MPC Based on the Galerkin Method for AGC Considering Volatile Generations Journal article
IEEE Transactions on Power Systems, 2020,Volume: 35,Issue: 1,Page: 462-473
Authors:  Qiu,Yiwei;  Lin,Jin;  Liu,Feng;  Song,Yonghua
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Automatic Generation Control  Explicit Model Predictive Control  Galerkin Projection  Legendre Polynomials  Multi-parametric Programming  Optimal Control  Spectral Method  Automatic Generation Control  Explicit Model Predictive Control  Galerkin Projection  Legendre Polynomials  Multi-parametric Programming  Optimal Control  Spectral Method  
Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation Journal article
Random Matrices: Theory and Application, 2020
Authors:  Hu,Jie;  Filipuk,Galina;  Chen,Yang
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Bäcklund transformations  Discrete orthogonal polynomials  Hypergeometric weights  Painlevé VI