| [1] Bing Sun, Bao-Zhu Guo and Zhen-Zhen Tao, Maximum Principle and Dynamic Programming Viscosity Solution Approach - From Open-Loop to Closed-Loop, Systems & Control: Foundations & Applications, Springer, to appear. | |
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[47] Zhen-Zhen Tao and Bing Sun,
Space-time spectral approximations of a parabolic optimal control problem
with an L 2-norm control constraint, Optimal Control Appl. Methods, 44(5)(2023), 2984-3007.
[46] Cheng-Cheng Ma, Yang-Yang Wang and Bing Sun,
Optimal control of a two-dimensional contact
problem with multiple unilateral constraints, Appl. Anal., 102(18)(2023), 5195-5214.
[45] Zhen-Zhen Tao and Bing Sun,
Space-time spectral method for a fourth-order
parabolic optimal control problem in three control constraint cases, Discrete Contin. Dyn. Syst. Ser. B, 28(1)(2023), 359-384.
[44] Zhen-Zhen Tao and Bing Sun,
Error estimates for spectral approximation of
flow optimal control problem with L 2-norm control constraint, J. Ind. Manag. Optim., 19(3)(2023), 2020-2049.
[43] Bing Sun,
Optimal control of transverse vibration of a moving
string with time-varying lengths, Math. Control Relat. Fields, 12(3)(2022), 733-746.
[42] Zhen-Zhen Tao, Bing Sun and Hai-Feng Niu,
Galerkin spectral approximation for optimal control problem of
a fourth-order equation with L 2-norm control constraint, Int. J. Comput. Math., 99(7)(2022), 1344-1366.
[41] Zhen-Zhen Tao and Bing Sun,
Galerkin spectral method for elliptic optimal control problem
with L 2-norm control constraint, Discrete Contin. Dyn. Syst. Ser. B, 27(8)(2022), 4121-4141.
[40] Zhen-Zhen Tao and Bing Sun,
A feedback design for numerical solution to optimal control problems
based on Hamilton-Jacobi-Bellman equation, Electron. Res. Arch., 29(5)(2021), 3429-3447.
[39] Zhen-Zhen Tao and Bing Sun,
Galerkin spectral method for a fourth-order optimal control problem
with H 1-norm state constraint, Comput. Math. Appl., 97(2021), 1-17.
[Code]
[38] Yang-Yang Wang and Bing Sun,
Optimal boundary control of Saint-Venant equations with arbitrary
friction and space-varying slope, IMA J. Math. Control Inform., 38(3)(2021), 881–907.
[37] Cheng-Cheng Ma and Bing Sun,
Pontryagin's maximum principle for optimal control of an extrusion process,
Internat. J. Systems Sci., 52(15)(2021), 3226-3240.
[36] Yang-Yang Wang and Bing Sun,
Optimal control of vibrations of two nonlinear Gao beams connected with a joint,
Internat. J. Systems Sci., 52(10)(2021), 2064–2081.
[35] Bing Sun, Zhen-Zhen Tao and Yang-Yang Wang,
Dynamic programming viscosity solution approach
and its applications to optimal control problems, in Mathematics Applied to Engineering, Modelling,
and Social Issues, Studies in Systems, Decision and Control, Vol. 200, Frank T. Smith, Hemen Dutta and John N. Mordeson, eds.,
Springer, Cham, 2019, pp. 363-420. [Book Chapter]
[34] Bing Sun and Mi-Xia Wu,
Optimal boundary control of a continuum model for a highly re-entrant
manufacturing system, Trans. Inst. Meas. Control, 41(5)(2019), 1373-1382.
[33] Bing Sun and Cheng-Cheng Ma,
Optimal control of longitudinal deformations of a thermoelastic rod
with unilateral contact condition of the Signorini type, IMA J. Math. Control Inform., 36(1)(2019), 57-78.
[32] Bing Sun,
Optimal distributed control problem for the modified
Swift-Hohenberg equation, Electron. J. Differential Equations, 2018(131)(2018), 1-13.
[31] Bing Sun and Mi-Xia Wu,
Optimal boundary control of a coupled system consists of
Kuramoto-Sivashinsky-Korteweg-de Vries and heat equations, Trans. Inst. Meas. Control, 39(12)(2017), 1829-1840.
[30] Bing Sun,
Maximum principle for optimal control of vibrations of a dynamic Gao beam
in contact with a rigid foundation, Internat. J. Systems Sci., 48(16)(2017), 3522-3529.
[29] Bing Sun and Yang Jiao,
Optimal control of two-drug therapy for a HIV model,
Comm. Appl. Nonlinear Anal., 24(4)(2017), 29-45.
[28] Bing Sun,
Optimal control problem with unilateral constraints for longitudinal vibration of a
viscoelastic valve, IMA J. Math. Control Inform., 34(2)(2017), 697-715.
[27] Bing Sun,
Optimal control of vibrations of a dynamic Gao beam in contact with a reactive
foundation, Internat. J. Systems Sci., 48(5)(2017), 1084-1091.
[26] Bing Sun,
An optimal distributed control problem of the viscous Degasperis-Procesi equation,
IMA J. Math. Control Inform., 33(3)(2016), 589-601.
[25] Bing Sun and Bao-Zhu Guo,
Convergence of an upwind finite-difference scheme for Hamilton-Jacobi-Bellman
equation in optimal control, IEEE Trans. Automat. Control, 60(11)(2015), 3012-3017.
[24] Bing Sun and Shan-Shan Wang,
Maximum principle for optimal distributed control of viscous weakly
dispersive Degasperis-Procesi equation, Math. Methods Appl. Sci., 38(18)(2015), 4576-4586.
[23] Bing Sun,
Necessary optimality conditions for optimal distributed and (Neumann) boundary control
of Burgers equation in both fixed and free final horizon cases, Nonlinear Anal. Model. Control,
20(1)(2015), 1-20.
[22] Bing Sun,
Optimal control of age-structured population dynamics for spread of universally fatal
diseases II, Appl. Anal., 93(8)(2014), 1730-1744.
[21] Bao-Zhu Guo and Bing Sun,
Dynamic programming approach to the numerical solution of optimal
control with paradigm by a mathematical model for drug therapies of HIV/AIDS, Optim. Eng.,
15(1)(2014), 119-136.
[20] Mi-Xia Wu and Bing Sun,
Comparison between ANOVA estimator and SD estimator under balanced
data, Sci. Sin. Math., 43(8)(2013), 751-764. (in Chinese)
[19] Bing Sun,
Optimal distributed control of a nonlinear viscous dispersive wave equation for unidirectional
propagation of long wave, Trans. Inst. Meas. Control, 35(8)(2013), 1016-1023.
[18] Bing Sun,
An optimal distributed control problem of the viscous generalized Camassa-Holm equation,
Trans. Inst. Meas. Control, 35(4)(2013), 409-416.
[17] Bing Sun and Mi-Xia Wu,
Optimal control of age-structured population dynamics for spread of
universally fatal diseases, Appl. Anal., 92(5)(2013), 901-921.
[16] Bing Sun,
Maximum principle for optimal distributed control of the viscous Dullin-Gottwald-Holm
equation, Nonlinear Anal. Real World Appl., 13(1)(2012), 325-332.
[15] Bing Sun,
Optimal control of sterilization of prepackaged food in the case of problem with free
final time and phase constraints, Translated from Sovrem. Mat. Prilozh., Vol. 70, 2011, J. Math.
Sci. (N. Y.), 177(3)(2011), 426-439.
[14] Bing Sun,
Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation,
J. Franklin Inst., 347(2)(2010), 467-482.
[13] Bing Sun,
Pontryagin's maximum principle for optimal boundary control of a generalized Korteweg-de
Vries equation, Internat. J. Systems Sci., 41(6)(2010), 699-708.
[12] Bing Sun,
Optimal control of vibrations of an elastic beam,
IMA J. Math. Control Inform., 26(2)(2009), 151-162.
[11] Bao-Zhu Guo and Bing Sun,
A new algorithm for finding numerical solutions of optimal feedback
control, IMA J. Math. Control Inform., 26(1)(2009), 95-104.
[10] Bing Sun and Mi-Xia Wu,
Maximum principle for optimal control of sterilization of prepackaged
food, IMA J. Math. Control Inform., 24(4)(2007), 493-505.
[9] Bao-Zhu Guo and Bing Sun,
Numerical solution to the optimal feedback control of continuous
casting process, J. Global Optim., 39(2)(2007), 171-195.
[8] Bing Sun and Bao-Zhu Guo,
Maximum principle for the optimal control of an ablation-transpiration
cooling system with free final time and phase constraints, J. Control Theory Appl., 3(2)(2005), 101-109.
[7] Bao-Zhu Guo and Bing Sun,
Numerical solution to the optimal birth feedback control of a population
dynamics: viscosity solution approach, Optimal Control Appl. Methods, 26(5)(2005), 229-254.
[6] Bing Sun and Bao-Zhu Guo,
Maximum principle for the optimal control of an ablation-transpiration
cooling system, J. Syst. Sci. Complex., 18(3)(2005), 285-301.
[5] Yang-Yang Wang and Bing Sun,
Pontryagin's maximum principle for optimal control of vibrations
of two nonlinear Gao beams, in Proceedings of the 16th IEEE International Conference on Control & Automation
(ICCA), Singapore, Singapore, October 9-11, 2020, pp. 913-918. [Conference Paper]
(Virtual Online Conference due to COVID-19. It was planned to be held during July 6-9, 2020, in Sapporo, Hokkaido, Japan.)
[4] Zhen-Zhen Tao and Bing Sun,
An interpolation algorithm for solving optimal control problems
based on DPVS approach, in Proceedings of the 15th IEEE International Conference on Control
& Automation (ICCA), Edinburgh, Scotland, July 16–19, 2019, pp. 1063-1068. [Conference Paper]
[3] Bao-Zhu Guo and Bing Sun,
A new algorithm for finding numerical solutions of optimal feedback
control law, in Proceedings of the 25th Chinese Control Conference (CCC), Daizhan Cheng and
Guangren Duan, eds., Beihang University Press, Beijng, 2006, pp. 568-572. [Conference Paper]
[2] Bing Sun and Bao-Zhu Guo,
Solving optimal feedback control of Chinese population dynamics by
viscosity solution approach, IFAC Proceedings Volumes, 16th IFAC World Congress, 38(1)(2005),
489-494. [Conference Paper]
[1] Bing Sun and Bao-Zhu Guo,
Maximum principle for the optimal control of an ablation-transpiration
cooling system with free final time, in Proceedings of the 24th Chinese Control Conference (CCC),
Daizhan Cheng and Bugong Xu, eds., South China University of Technology Press, Guangzhou,
2005, pp. 899-902. [Conference Paper]
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