Targeting modernization, we should keep to the Chinese-style path of car- rying out industrialization in a new way and advancing IT application, urbanization, and agricultural modernization. In the research, the scien...Targeting modernization, we should keep to the Chinese-style path of car- rying out industrialization in a new way and advancing IT application, urbanization, and agricultural modernization. In the research, the scientific concepts of IT applica- tion, urbanization, agricultural modernization and industrialization were illustrated and the interrelations were analyzed, with measures on harmonized development pro- posed based on existing problems.展开更多
It is a challenging issue to obtain the minimum amplitude control for linear systems subject to amplitudebounded disturbances.The difficulty is how to accurately give the quantitative relationship between the system H...It is a challenging issue to obtain the minimum amplitude control for linear systems subject to amplitudebounded disturbances.The difficulty is how to accurately give the quantitative relationship between the system H∞norm and control parameters.An optimal-Lyapunov-function-based controller design concept is proposed,and a minimum amplitude control scheme is presented under amplitude-bounded disturbances.Firstly,the optimal Lyapunov function is proposed by analyzing the geometric characteristics of the system H∞norm,and the necessary and sufficient condition of the optimal Lyapunov function parameter matrix is given.Secondly,the optimal Lyapunov function parameter matrix is constructed in the parameterized matrix equation,and the accurate quantitative relationship between the system H∞norm and control parameters is given.Finally,the control parameter optimization method is proposed according to the quantitative relationship between the system H∞norm and control parameters.Unlike robust optimization control methods,the presented minimum amplitude control scheme avoids the improper selection of the Lyapunov function in the controller design,and provides a novel way to design the minimum amplitude control under the given control accuracy.A buck converter example is given to illustrate the effectiveness and practicability of the presented scheme.展开更多
The philosophical foundation of the mainstream neoclassical economics is empirical philosophy.The controversies of economic methodology over inductive and deductive methods,over verificationistic and falsificationisti...The philosophical foundation of the mainstream neoclassical economics is empirical philosophy.The controversies of economic methodology over inductive and deductive methods,over verificationistic and falsificationistic approaches,and over positive and normative analyses in the evolution of economics are associated with those in the philosophy of science.The evolution of philosophy of science suggests that the above-mentioned pairs of economic methodologies should be appropriately combined when used in economics.It is not sensible to overemphasize either one inside each pair of economic methodologies.展开更多
The k-th(k=3,4,5)order backward differential formula(BDFk)is applied to de-velop the high order energy stable schemes for the molecular beam epitaxial model with slope selection.The numerical schemes are established b...The k-th(k=3,4,5)order backward differential formula(BDFk)is applied to de-velop the high order energy stable schemes for the molecular beam epitaxial model with slope selection.The numerical schemes are established by combining the convex splitting technique with the k-th order accurate Douglas-Dupont stabilization term in the form of Sτ^(k−1)Δ_(h)(Ф^(n)−Ф^(n−1)).With the help of the new constructed discrete gradient structure of the k-th order explicit extrapolation formula,the stabilized BDFk scheme is proved to pre-serve energy dissipation law at the discrete levels and unconditionally stable in the energy norm.By using the discrete orthogonal convolution kernels and the associated convolution embedding inequalities,the L^(2) norm error estimate is established under a weak constraint of time-step size.Numerical simulations are presented to demonstrate the accuracy and efficiency of the proposed numerical schemes.展开更多
文摘Targeting modernization, we should keep to the Chinese-style path of car- rying out industrialization in a new way and advancing IT application, urbanization, and agricultural modernization. In the research, the scientific concepts of IT applica- tion, urbanization, agricultural modernization and industrialization were illustrated and the interrelations were analyzed, with measures on harmonized development pro- posed based on existing problems.
基金supported in part by the National Natural Science Foundation of China(62373089).
文摘It is a challenging issue to obtain the minimum amplitude control for linear systems subject to amplitudebounded disturbances.The difficulty is how to accurately give the quantitative relationship between the system H∞norm and control parameters.An optimal-Lyapunov-function-based controller design concept is proposed,and a minimum amplitude control scheme is presented under amplitude-bounded disturbances.Firstly,the optimal Lyapunov function is proposed by analyzing the geometric characteristics of the system H∞norm,and the necessary and sufficient condition of the optimal Lyapunov function parameter matrix is given.Secondly,the optimal Lyapunov function parameter matrix is constructed in the parameterized matrix equation,and the accurate quantitative relationship between the system H∞norm and control parameters is given.Finally,the control parameter optimization method is proposed according to the quantitative relationship between the system H∞norm and control parameters.Unlike robust optimization control methods,the presented minimum amplitude control scheme avoids the improper selection of the Lyapunov function in the controller design,and provides a novel way to design the minimum amplitude control under the given control accuracy.A buck converter example is given to illustrate the effectiveness and practicability of the presented scheme.
基金the Research Project titled“The Role of the Global Development Initiative in Promoting Balanced,Coordinated and Inclusive Global Development”(ID:3162022ZYE03)and funded by the Basic Research Funds for Centrally Administered Institutions of Tertiary Education.
文摘The philosophical foundation of the mainstream neoclassical economics is empirical philosophy.The controversies of economic methodology over inductive and deductive methods,over verificationistic and falsificationistic approaches,and over positive and normative analyses in the evolution of economics are associated with those in the philosophy of science.The evolution of philosophy of science suggests that the above-mentioned pairs of economic methodologies should be appropriately combined when used in economics.It is not sensible to overemphasize either one inside each pair of economic methodologies.
文摘The k-th(k=3,4,5)order backward differential formula(BDFk)is applied to de-velop the high order energy stable schemes for the molecular beam epitaxial model with slope selection.The numerical schemes are established by combining the convex splitting technique with the k-th order accurate Douglas-Dupont stabilization term in the form of Sτ^(k−1)Δ_(h)(Ф^(n)−Ф^(n−1)).With the help of the new constructed discrete gradient structure of the k-th order explicit extrapolation formula,the stabilized BDFk scheme is proved to pre-serve energy dissipation law at the discrete levels and unconditionally stable in the energy norm.By using the discrete orthogonal convolution kernels and the associated convolution embedding inequalities,the L^(2) norm error estimate is established under a weak constraint of time-step size.Numerical simulations are presented to demonstrate the accuracy and efficiency of the proposed numerical schemes.
