This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables...This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables.By virtue of the duality method and the generalized anticipated backward stochastic differential equations,we establish a necessary maximum principle and a sufficient verification theorem.In particular,we deal with the controlled stochastic system where the distributed delays enter both the state and the control.To explain the theoretical results,we apply them to a dynamic advertising problem.展开更多
This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some necessary and sufficient conditions for a function to be a storage function are derived. As applications, ...This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some necessary and sufficient conditions for a function to be a storage function are derived. As applications, the finite and infinite horizon nonlinear stochastic H∞ controls for systems with state, control, and external disturbance dependent noise are investigated, which generalize the previous results.展开更多
The use of non-noble nickel-based catalysts for low temperature CO methanation has been a challenge in recent years.Herein,MgAl layered double oxides sample with high dispersion synthesized by a facile N-(2-Hydroxyeth...The use of non-noble nickel-based catalysts for low temperature CO methanation has been a challenge in recent years.Herein,MgAl layered double oxides sample with high dispersion synthesized by a facile N-(2-Hydroxyethyl)ethylenediaminetriacetic acid assisted wetness impregnation approach,demonstrates much superior catalytic activity and exceptional stability for CO methanation in comparison with the classical Ni/MgAl-LDO catalyst prepared by the ordinary wetness impregnation method.HRTEM results showed that N-(2-Hydroxyethyl)ethylenediaminetriacetic acid played a positive role in the dispersion of Ni,as well as Ni-support interaction.Well-dispersed Ni particles with a size of about 5 nm were formed in the presence of N-(2-Hydroxyethyl)ethylenediaminetriacetic acid.Compared to the Ni/MgAl-LDO prepared by conventional impregnation method,the NH-Ni/MgAl-LDO exhibited superior catalytic performance,especially excellent thermal stability.The NH-Ni30/MgAl-LDO catalyst was found to keep a 70%CO conversion even at 160◦C which demonstrates its good low temperature performance.From the in situ FTIR observations,this good performance at low temperatures may be linked to the delocalization of electrons around CO caused by surface hydroxyl groups.展开更多
基金supported by the National Natural Science Foundation of China(11701214)Shandong Provincial Natural Science Foundation,China(ZR2019MA045).
文摘This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables.By virtue of the duality method and the generalized anticipated backward stochastic differential equations,we establish a necessary maximum principle and a sufficient verification theorem.In particular,we deal with the controlled stochastic system where the distributed delays enter both the state and the control.To explain the theoretical results,we apply them to a dynamic advertising problem.
基金This research is supported by the National Natural Science Foundation of China under Grant Nos. 10921101 and 60874032, the National Basic Research Program of China （973 Program） under Grant No. 2007CB814904, the Key Project of Natural Science Foundation of Shandong Province under Grant No. ZR2009GZ001, and the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20103718110006.
文摘This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some necessary and sufficient conditions for a function to be a storage function are derived. As applications, the finite and infinite horizon nonlinear stochastic H∞ controls for systems with state, control, and external disturbance dependent noise are investigated, which generalize the previous results.
基金National Natural Science Foundation of China(No.22068034)International Science and Technology Cooperation Project of Shihezi University(No.GJHZ201804)+1 种基金International Science and Technology Cooperation Project of Bingtuan(No.2018BC002)Science and Technology Innovation Talents Program of Bingtuan(No.2019CB025).
文摘The use of non-noble nickel-based catalysts for low temperature CO methanation has been a challenge in recent years.Herein,MgAl layered double oxides sample with high dispersion synthesized by a facile N-(2-Hydroxyethyl)ethylenediaminetriacetic acid assisted wetness impregnation approach,demonstrates much superior catalytic activity and exceptional stability for CO methanation in comparison with the classical Ni/MgAl-LDO catalyst prepared by the ordinary wetness impregnation method.HRTEM results showed that N-(2-Hydroxyethyl)ethylenediaminetriacetic acid played a positive role in the dispersion of Ni,as well as Ni-support interaction.Well-dispersed Ni particles with a size of about 5 nm were formed in the presence of N-(2-Hydroxyethyl)ethylenediaminetriacetic acid.Compared to the Ni/MgAl-LDO prepared by conventional impregnation method,the NH-Ni/MgAl-LDO exhibited superior catalytic performance,especially excellent thermal stability.The NH-Ni30/MgAl-LDO catalyst was found to keep a 70%CO conversion even at 160◦C which demonstrates its good low temperature performance.From the in situ FTIR observations,this good performance at low temperatures may be linked to the delocalization of electrons around CO caused by surface hydroxyl groups.
