物联网无线服务系统(wireless service system,WSS)是以通用的协议标准实现人与物、物与物相连的实时网络交互系统.该系统在设备中嵌入无线传感器节点以实现数据上传和决策下发,但传感器节点的同构性特点使得蠕虫传播问题日益严重.为此...物联网无线服务系统(wireless service system,WSS)是以通用的协议标准实现人与物、物与物相连的实时网络交互系统.该系统在设备中嵌入无线传感器节点以实现数据上传和决策下发,但传感器节点的同构性特点使得蠕虫传播问题日益严重.为此,在对现有蠕虫传播的流行病模型进行分类并总结各类模型特点的基础上,首先提出了具有睡眠状态和隔离状态的流行病模型,定义了系统中节点的状态转换关系;其次,依据节点的射频通信距离,确定了具有实际传染能力的感染节点数量及范围;再次,引入蠕虫与无线服务系统的目标成本函数,给出了基于目标成本值的完全信息动态微分博弈模型;然后,证明了该博弈存在鞍点策略,利用状态变量、协状态变量和汉密尔顿函数求解鞍点策略并设计了保证目标成本值最优的防御策略算法;最后,仿真实现本算法与2种蠕虫防御策略算法,通过各状态节点的变化特点及目标成本值的对比实验进行性能评估.实验结果表明:基于改进流行病模型的最优防御算法在抑制无线服务系统蠕虫传播方面有明显优势.展开更多
In this paper, if the condition of variation δt = 0 is satisfied, the higher-order Lagrangian equations and higher-order Hamilton＇s equations, which show the consistency with the results of traditional analytical me...In this paper, if the condition of variation δt = 0 is satisfied, the higher-order Lagrangian equations and higher-order Hamilton＇s equations, which show the consistency with the results of traditional analytical mechanics, are obtained from the higher-order Lagrangian equations and higher-order Hamilton＇s equations. The results can enrich the theory of analytical mechanics.展开更多
In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamilton...In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and then the input-to-state stabilization of port-controlled Hamiltonian systems is achieved. Some easily verifiable sufficient conditions are presented.展开更多
A mathematical model of the soil pressure system in shield tunneling was proposed to optimize soil pressure control in the soil chamber, based on the constitutive relationship between strain and stress. The desired pr...A mathematical model of the soil pressure system in shield tunneling was proposed to optimize soil pressure control in the soil chamber, based on the constitutive relationship between strain and stress. The desired pressure is determined by using the finite element method. A linear quadratic constant state tracking problem was considered over an infinite time interval. The optimal control law was derived by differentiating the Hamilton function with respect to system input. In order to verify the effectiveness of the proposed mathematical model and optimal control law, an experimental study on the pressure control of the soil chamber in shield tunneling was conducted in a laboratory. The experiment results show that soil pressure in the soil chamber in shield tunneling can be accurately controlled.展开更多
Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potential...Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potentials and the eigenfunctions, Lax pair and adjoint Lax pairs including partial part and temporal part are nonlinearied into two finitedimensional Hamiltonian systems （FDHS） in Liouville sense. Moreover, an explicit N-fold Darboux transformation for CDNS equation is constructed with the help of a gauge transformation of the spectral problem.展开更多
Based on the second integrable ease of known two-dimensional Hamiltonian system with a quartie potentiM, we propose a 4 × 4 matrix speetrM problem and derive a hierarchy of coupled KdV equations and their Hamilto...Based on the second integrable ease of known two-dimensional Hamiltonian system with a quartie potentiM, we propose a 4 × 4 matrix speetrM problem and derive a hierarchy of coupled KdV equations and their Hamiltonian structures. It is shown that solutions of the coupled KdV equations in the hierarchy are reduced to solving two compatible systems of ordinary differentiM equations. As an application, quite a few explicit solutions of the coupled KdV equations are obtained via using separability for the second integrable ease of the two-dimensional Hamiltonian system.展开更多
We propose a simple scheme for the generation of a peculiar tripartite entangled state via thermal cavity. The peculiar tripartite entangled state shares features of the GHZ and 14/ state simultaneously. The photon-nu...We propose a simple scheme for the generation of a peculiar tripartite entangled state via thermal cavity. The peculiar tripartite entangled state shares features of the GHZ and 14/ state simultaneously. The photon-numberdependent parts in the effective Hamiltonian are canceled with the assistance of a strong classical field, thus the scheme is insensitive to both the thermal field and the cavity decay. The only thing one needs to do is to modulate the interaction time only once.展开更多
A new three-dimensional Lie algebra and its corresponding loop algebra are constructed, from which a modified AKNS soliton-equation hierarchy is obtained.
文摘物联网无线服务系统(wireless service system,WSS)是以通用的协议标准实现人与物、物与物相连的实时网络交互系统.该系统在设备中嵌入无线传感器节点以实现数据上传和决策下发,但传感器节点的同构性特点使得蠕虫传播问题日益严重.为此,在对现有蠕虫传播的流行病模型进行分类并总结各类模型特点的基础上,首先提出了具有睡眠状态和隔离状态的流行病模型,定义了系统中节点的状态转换关系;其次,依据节点的射频通信距离,确定了具有实际传染能力的感染节点数量及范围;再次,引入蠕虫与无线服务系统的目标成本函数,给出了基于目标成本值的完全信息动态微分博弈模型;然后,证明了该博弈存在鞍点策略,利用状态变量、协状态变量和汉密尔顿函数求解鞍点策略并设计了保证目标成本值最优的防御策略算法;最后,仿真实现本算法与2种蠕虫防御策略算法,通过各状态节点的变化特点及目标成本值的对比实验进行性能评估.实验结果表明:基于改进流行病模型的最优防御算法在抑制无线服务系统蠕虫传播方面有明显优势.
基金Foundation of Education Department of Jiangxi Province under Grant No.[2007]136the Natural Science Foundation of Jiangxi Province
文摘In this paper, if the condition of variation δt = 0 is satisfied, the higher-order Lagrangian equations and higher-order Hamilton＇s equations, which show the consistency with the results of traditional analytical mechanics, are obtained from the higher-order Lagrangian equations and higher-order Hamilton＇s equations. The results can enrich the theory of analytical mechanics.
基金Supported by the National Natural Science Foundation of China under Grants 60221301 and 60334040.
文摘In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and then the input-to-state stabilization of port-controlled Hamiltonian systems is achieved. Some easily verifiable sufficient conditions are presented.
基金Supported by the National Basic Research Project （2007CB714006, 90815023） the National Natural Science Foundation of China （GZ0818, GZ1107）
文摘A mathematical model of the soil pressure system in shield tunneling was proposed to optimize soil pressure control in the soil chamber, based on the constitutive relationship between strain and stress. The desired pressure is determined by using the finite element method. A linear quadratic constant state tracking problem was considered over an infinite time interval. The optimal control law was derived by differentiating the Hamilton function with respect to system input. In order to verify the effectiveness of the proposed mathematical model and optimal control law, an experimental study on the pressure control of the soil chamber in shield tunneling was conducted in a laboratory. The experiment results show that soil pressure in the soil chamber in shield tunneling can be accurately controlled.
基金The project supported by National Natural Science Foundation of China under Grant No. 10371023 and Shanghai Shuguang Project of China under Grant No. 02SG02
文摘Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potentials and the eigenfunctions, Lax pair and adjoint Lax pairs including partial part and temporal part are nonlinearied into two finitedimensional Hamiltonian systems （FDHS） in Liouville sense. Moreover, an explicit N-fold Darboux transformation for CDNS equation is constructed with the help of a gauge transformation of the spectral problem.
基金the Funds for Basic Research Project under Grant Nos.06XJC033 and 2008Bl10003
文摘Based on the second integrable ease of known two-dimensional Hamiltonian system with a quartie potentiM, we propose a 4 × 4 matrix speetrM problem and derive a hierarchy of coupled KdV equations and their Hamiltonian structures. It is shown that solutions of the coupled KdV equations in the hierarchy are reduced to solving two compatible systems of ordinary differentiM equations. As an application, quite a few explicit solutions of the coupled KdV equations are obtained via using separability for the second integrable ease of the two-dimensional Hamiltonian system.
基金The project supported by National Natural Science Foundation of China under Grant No.60678022the Doctoral Fund of the Ministry of Education of China under Grant No.20060357008+1 种基金the Key Program of the Education Department of Anhui Province under Grant Nos.2006KJ070A,KJ2007B082the Youth Foundation of West Anhui University under Grant No.WXCQ0601
文摘We propose a simple scheme for the generation of a peculiar tripartite entangled state via thermal cavity. The peculiar tripartite entangled state shares features of the GHZ and 14/ state simultaneously. The photon-numberdependent parts in the effective Hamiltonian are canceled with the assistance of a strong classical field, thus the scheme is insensitive to both the thermal field and the cavity decay. The only thing one needs to do is to modulate the interaction time only once.
文摘A new three-dimensional Lie algebra and its corresponding loop algebra are constructed, from which a modified AKNS soliton-equation hierarchy is obtained.
