Economic development has caused a lot of environmental problems,in turn,environmental pollution restricts economic development.Considering the influence of wind direction and speed,temperature and humidity on pollutan...Economic development has caused a lot of environmental problems,in turn,environmental pollution restricts economic development.Considering the influence of wind direction and speed,temperature and humidity on pollutants,as well as the influence of epidemic,war and exchange rate on economic development.In this paper,we develop a stochastic economic-environment model with pollution control strategies.Furthermore,sufficient and necessary conditions for the near-optimality are established.Finally,we perform some numerical simulations to demonstrate the correctness of the theoretical results,which shows that some control strategies could decrease the environmental pollution,and therefore,could alleviate economic losses caused by environmental pollution.展开更多
The appearance of rumors intensifies people’s panic and affects social stability. How to control the spread of rumors has become an important issue which is worth studying. In order to more accurately reflect the act...The appearance of rumors intensifies people’s panic and affects social stability. How to control the spread of rumors has become an important issue which is worth studying. In order to more accurately reflect the actual situation in the real world, a stochastic model incorporating media coverage and Lévy noise is proposed to describe the dynamic process of rumor propagation. By introducing two control strategies of popular science education and media coverage in an emergency event, an near-optimal control problem that minimizes the influence and control cost of rumor propagation is proposed.Sufficient conditions for near-optimal control of the model are established by using a Hamiltonian function. Then the necessary conditions for near-optimal control are obtained by using the Pontryagin maximum principle. Finally, the effect of popular science education, media coverage and Lévy noise on rumor propagation process control is verified by numerical simulation.展开更多
In recent years,rumor spreading has caused widespread public panic and affected the whole social harmony and stability.Consequently,how to control the rumor spreading effectively and reduce its negative influence urge...In recent years,rumor spreading has caused widespread public panic and affected the whole social harmony and stability.Consequently,how to control the rumor spreading effectively and reduce its negative influence urgently needs people to pay much attention.In this paper,we mainly study the near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters.Firstly,the science knowledge propagation and the refutation mechanism as the control strategies are introduced into a stochastic rumor spreading model.Then,some sufficient and necessary conditions for the near-optimal control of the stochastic rumor spreading model are discussed respectively.Finally,through some numerical simulations,the validity and availability of theoretical analysis is verified.Meanwhile,it shows the significance and effectiveness of the proposed control strategies on controlling rumor spreading,and demonstrates the influence of stochastic disturbance and imprecise parameters on the process of rumor spreading.展开更多
With the increase of the interest in solar sailing, it is required to provide a basis for future detailed planetary escape mission analysis by drawing together prior work, clarifying and explaining previously anomalie...With the increase of the interest in solar sailing, it is required to provide a basis for future detailed planetary escape mission analysis by drawing together prior work, clarifying and explaining previously anomalies. In this paper, a technique for escaping the Earth by using a solar sail is developed and numerically simulated. The spacecraft is initially in a geosynchronous transfer orbit (GTO). Blended solar sail analytical control law, explicitly independent of time, are then presented, which provide near-optimal escape trajectories and maintain a safe minimum altitude and which are suitable as a potential autonomous onboard controller. This control law is investigated from a range of initial conditions and is shown to maintain the optimality previously demonstrated by the use of a single-energy gain control law but without the risk of planetary collision. Finally, it is shown that the blending solar sail analytical control law is suitable for solar sail on-board autonomously control system.展开更多
This work develops near-optimal controls for systems given by differential equations with wideband noise and random switching.The random switching is modeled by a continuous-time,time-inhomogeneous Markov chain.Under ...This work develops near-optimal controls for systems given by differential equations with wideband noise and random switching.The random switching is modeled by a continuous-time,time-inhomogeneous Markov chain.Under broad conditions,it is shown that there is an associated limit problem,which is a switching jump diffusion.Using near-optimal controls of the limit system,we then build controls for the original systems.It is shown that such constructed controls are nearly optimal.展开更多
Traditional energy management system (EMS) plays an indispensable role in control centers of electric power systems. However, it also has several shortcomings, including lack of real-time closed-loop control, unreliab...Traditional energy management system (EMS) plays an indispensable role in control centers of electric power systems. However, it also has several shortcomings, including lack of real-time closed-loop control, unreliable functional modules, and difficult to exchange data. The electric hybrid control theory (EHCT) has been proposed as an innovative and effective means to overcome these shortcomings. This paper argues that the EHCT provides a theoretical foundation for the advanced energy management system (AEMS) that can achieve multi-objective, near-optimal, and closed-loop control of electric power grids. This paper also discusses the significance for control centers to evolve from the traditional EMS to the AEMS. Furthermore, this paper points out that the traditional EMS can be considered as an integral part of the AEMS and that the AEMS can be built upon the traditional EMS. Thus, the resources that are currently available can be fully utilized to achieve near-optimal and closed-loop control of power system operations.展开更多
基金supported by the National Natural Science Foundation of China(12071407,12171193)the Natural Science Foundation of Hubei Province(2024AFB170)。
文摘Economic development has caused a lot of environmental problems,in turn,environmental pollution restricts economic development.Considering the influence of wind direction and speed,temperature and humidity on pollutants,as well as the influence of epidemic,war and exchange rate on economic development.In this paper,we develop a stochastic economic-environment model with pollution control strategies.Furthermore,sufficient and necessary conditions for the near-optimality are established.Finally,we perform some numerical simulations to demonstrate the correctness of the theoretical results,which shows that some control strategies could decrease the environmental pollution,and therefore,could alleviate economic losses caused by environmental pollution.
基金Project supported by the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learningthe Project for the Natural Science Foundation of Shanghai, China (Grant No. 21ZR1444100)the Project for the National Natural Science Foundation of China (Grant Nos. 72174121, 71774111, 71871144, and 71804047)。
文摘The appearance of rumors intensifies people’s panic and affects social stability. How to control the spread of rumors has become an important issue which is worth studying. In order to more accurately reflect the actual situation in the real world, a stochastic model incorporating media coverage and Lévy noise is proposed to describe the dynamic process of rumor propagation. By introducing two control strategies of popular science education and media coverage in an emergency event, an near-optimal control problem that minimizes the influence and control cost of rumor propagation is proposed.Sufficient conditions for near-optimal control of the model are established by using a Hamiltonian function. Then the necessary conditions for near-optimal control are obtained by using the Pontryagin maximum principle. Finally, the effect of popular science education, media coverage and Lévy noise on rumor propagation process control is verified by numerical simulation.
基金Project supported by the Program for Professor of Special Appointment(Eastern Scholar)at Shanghai Institutions of Higher Learningthe Project for the Natural Science Foundation of Shanghai,China(Grant No.21ZR1444100)the Project for the National Natural Science Foundation of China(Grant Nos.72174121,71774111,71871144,and 71804047)。
文摘In recent years,rumor spreading has caused widespread public panic and affected the whole social harmony and stability.Consequently,how to control the rumor spreading effectively and reduce its negative influence urgently needs people to pay much attention.In this paper,we mainly study the near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters.Firstly,the science knowledge propagation and the refutation mechanism as the control strategies are introduced into a stochastic rumor spreading model.Then,some sufficient and necessary conditions for the near-optimal control of the stochastic rumor spreading model are discussed respectively.Finally,through some numerical simulations,the validity and availability of theoretical analysis is verified.Meanwhile,it shows the significance and effectiveness of the proposed control strategies on controlling rumor spreading,and demonstrates the influence of stochastic disturbance and imprecise parameters on the process of rumor spreading.
基金Sponsored by the National Natural Science Foundation of China ( Grant No. 61005060)
文摘With the increase of the interest in solar sailing, it is required to provide a basis for future detailed planetary escape mission analysis by drawing together prior work, clarifying and explaining previously anomalies. In this paper, a technique for escaping the Earth by using a solar sail is developed and numerically simulated. The spacecraft is initially in a geosynchronous transfer orbit (GTO). Blended solar sail analytical control law, explicitly independent of time, are then presented, which provide near-optimal escape trajectories and maintain a safe minimum altitude and which are suitable as a potential autonomous onboard controller. This control law is investigated from a range of initial conditions and is shown to maintain the optimality previously demonstrated by the use of a single-energy gain control law but without the risk of planetary collision. Finally, it is shown that the blending solar sail analytical control law is suitable for solar sail on-board autonomously control system.
基金supported in part by the National Science Foundation under DMS-1207667supported in part by NSFC and RFDP
文摘This work develops near-optimal controls for systems given by differential equations with wideband noise and random switching.The random switching is modeled by a continuous-time,time-inhomogeneous Markov chain.Under broad conditions,it is shown that there is an associated limit problem,which is a switching jump diffusion.Using near-optimal controls of the limit system,we then build controls for the original systems.It is shown that such constructed controls are nearly optimal.
基金Supported by the National Natural Science Foundation of China (Grant Nos.50595411,50377018)the National Basic Research Program of China ("973") (Grant No.2004CB217903)the Key Project of State Grid Company
文摘Traditional energy management system (EMS) plays an indispensable role in control centers of electric power systems. However, it also has several shortcomings, including lack of real-time closed-loop control, unreliable functional modules, and difficult to exchange data. The electric hybrid control theory (EHCT) has been proposed as an innovative and effective means to overcome these shortcomings. This paper argues that the EHCT provides a theoretical foundation for the advanced energy management system (AEMS) that can achieve multi-objective, near-optimal, and closed-loop control of electric power grids. This paper also discusses the significance for control centers to evolve from the traditional EMS to the AEMS. Furthermore, this paper points out that the traditional EMS can be considered as an integral part of the AEMS and that the AEMS can be built upon the traditional EMS. Thus, the resources that are currently available can be fully utilized to achieve near-optimal and closed-loop control of power system operations.
