Premier Wen Jiabao Monday urged local governments not to "waste a single minute" in implementing the 4-trillion-yuan ($586 billion) stimulus plan unveiled. "In expanding investment,
This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achi...This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.展开更多
Dear Editor,This letter explores optimal formation control for a network of unmanned surface vessels(USVs).By designing an individual objective function for each USV,the optimal formation problem is transformed into a...Dear Editor,This letter explores optimal formation control for a network of unmanned surface vessels(USVs).By designing an individual objective function for each USV,the optimal formation problem is transformed into a noncooperative game.Under this game theoretic framework,the optimal formation is achieved by seeking the Nash equilibrium of the regularized game.A modular structure consisting of a distributed Nash equilibrium seeker and a regulator is proposed.展开更多
Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale ...Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.展开更多
Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-de...Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-defined convergence time for the PEG,a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information.Then,it is theoretically proved that the prescribedtime convergence of the designed algorithm for achieving Nash equilibrium of PEG.Eventually,the effectiveness of the PTNE method was validated by numerical simulation results.A PEG consists of two groups of agents:evaders and pursuers.The pursuers aim to capture the evaders through cooperative efforts,while the evaders strive to evade capture.PEG is a classic noncooperative game.It has attracted plenty of attention due to its wide application scenarios,such as smart grids[1],formation control[2],[3],and spacecraft rendezvous[4].It is noteworthy that most previous research on seeking the Nash equilibrium of the game,where no agent has an incentive to change its actions,has focused on asymptotic and exponential convergence[5]-[7].展开更多
Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect informat...Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.展开更多
Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all playe...Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all players to the Nash equilibrium without requiring any knowledge of global parameters. Moreover, it is theoretically proved that the convergence time of the proposed seeking strategy can be predefined based on practical requirements. Finally, a numerical example is presented to validate the effectiveness of the proposed method.展开更多
Regional integration is the core strategy of Africa in pursuing self-strength through unity and seeking independent development,while building development corridors is an important strategic means for realizing the in...Regional integration is the core strategy of Africa in pursuing self-strength through unity and seeking independent development,while building development corridors is an important strategic means for realizing the integration and development of Africa.Starting from the Maputo Corridor proposed by the Southern African Development Community in 1996,African countries have been committed to promoting regional integration and national development through spatial development and regional connectivity.展开更多
Since the second half of 2023,China-US relations have shown signs of improvement.While maintaining the primary framework of its containment policy,the American policy toward China has undergone some tactical adjustmen...Since the second half of 2023,China-US relations have shown signs of improvement.While maintaining the primary framework of its containment policy,the American policy toward China has undergone some tactical adjustments,such as increasing exchanges with China,presenting a flexible stance toward bilateral economic and trade relations,and seeking limited cooperation while competing with China.展开更多
This year marks a significant year for establishing guardrails around artificial intelligence(AI),with major regions like the EU,the U.S.,and China converging over a risk-based regulatory approach,albeit with distinct...This year marks a significant year for establishing guardrails around artificial intelligence(AI),with major regions like the EU,the U.S.,and China converging over a risk-based regulatory approach,albeit with distinct differences.This trend reflects a broader trend towards digital sovereignty,with governments seeking increased control over their digital markets and technologies to ensure safety and security,while aiming to boost their AI competitiveness.展开更多
As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheap...As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheapest path to meet its climate ambitions,he told European Parliament members on September 17.Some EU members are rethinking their China strategy,seeking feasible solutions for their differences with China and more cooperation,as indicated by Spanish Prime Minister Pedro Sanchez during his visit to China.展开更多
China’s persistent efforts to encourage innovations in science and technology have made remarkable achievements.The Patent Cooperation Treaty(PCT)Yearly Review 2023 gave a detailed report and statistics on global pat...China’s persistent efforts to encourage innovations in science and technology have made remarkable achievements.The Patent Cooperation Treaty(PCT)Yearly Review 2023 gave a detailed report and statistics on global patents over the last year.The PCT is an international patent treaty that provides a unified procedure for filing and processing patent applications and facilitates the seeking of patent protection for inventions in multiple countries.展开更多
Building trust and seeking harmony should be the guiding principle for promoting friendly exchanges and win-win cooperation between different civilizations.THE term“jiang xin xiu mu”(讲信修睦),literally meaning to b...Building trust and seeking harmony should be the guiding principle for promoting friendly exchanges and win-win cooperation between different civilizations.THE term“jiang xin xiu mu”(讲信修睦),literally meaning to build trust and seek amity,conveys an ancient Confucian ideal for society and policy.Today it has become an important concept in China’s ancient treasure chest of wisdom that helps shape the Chinese culture and society.展开更多
Inner Mongolia’s pastoral practices can be adapted by Nigeria for the management of its grasslands Imagine sipping on a cup of traditional Inner Mongolian tea,its warmth seeping into your soul as you gaze out at the ...Inner Mongolia’s pastoral practices can be adapted by Nigeria for the management of its grasslands Imagine sipping on a cup of traditional Inner Mongolian tea,its warmth seeping into your soul as you gaze out at the endless expanse of lush grasslands.The scene is like a painting,where horses gallop carelessly,and cows and sheep graze contentedly under the vast blue sky.This picturesque landscape of Hulun Buir in Inner Mongolia,China,is a testament to the beauty and ecological richness of well-managed grasslands.It is here that I embarked on a journey to understand the intricate balance between nature and human activity,seeking lessons that could be applied to the grasslands and pastoral systems of my home country,Nigeria.展开更多
Lying in her makeshift hospital bed,Joyce Tembo thanked medical personnel for evacuating her to the designated national cholera treatment centre,6 km north of Zambia’s capital Lusaka.She was recently diagnosed with d...Lying in her makeshift hospital bed,Joyce Tembo thanked medical personnel for evacuating her to the designated national cholera treatment centre,6 km north of Zambia’s capital Lusaka.She was recently diagnosed with diarrhoeal disease.Tembo,43,commended the medical sta!stationed at the treatment centre for their great service to thousands of patients,especially women and children seeking urgent treatment.“I am very grateful to the Chinese doctors who attended to me as soon as the ambulance rushed me to the clinic where I received urgent treatment;they have really saved my life,”Tembo told ChinAfrica.But not all residents in her community are as lucky as her.Many in the densely populated slums die every day due to the area’s poor sanitation-one of the major causes of the cholera outbreak.展开更多
Tough measures taken to guarantee food safety during the 2008 Olympic Games It’s not only in the medal stakes that China hopes to impress the world at the 2008 Olympics. When the waves of vis-
World’s biggest small trade hub explores new ways to recover from pandemic Wang Minfeng’s tools and hardware company in Yiwu,a city in Zhejiang Province,east China,is sea rching for ways to survive the economic impa...World’s biggest small trade hub explores new ways to recover from pandemic Wang Minfeng’s tools and hardware company in Yiwu,a city in Zhejiang Province,east China,is sea rching for ways to survive the economic impact of the novel coronavirus disease (COVID-1 9) pandemic.Wang started the business even before the Yiwu International Trade City,the world’s largest small commodity trade hub with more than 70,000 tenants,was established in2001,the year China joined the World Trade Organization.It survived the severe acute respiratory syndrome outbreak in 2003 and the global financial crisis in 2008.展开更多
读过此文,corporal punishment(肉刑;体罚》应该不再是一个生词了。因为,corporal punishment在本文一而再地出现。英国的一个校长走上了地区法院,坚决主张恢复教师对行为不端的学生进行体罚的权利。此君在法院一定振振有辞,因为,他的...读过此文,corporal punishment(肉刑;体罚》应该不再是一个生词了。因为,corporal punishment在本文一而再地出现。英国的一个校长走上了地区法院,坚决主张恢复教师对行为不端的学生进行体罚的权利。此君在法院一定振振有辞,因为,他的这个主张有《圣经》的主持!《圣经》云,Your rod andstaff they comfort me。】展开更多
利用动物进行药物活体试验似乎一直被人们认为是天经地义的。然而在英国,人们已经开始注意保护the welfare of lab animals,这方面的极端分子甚至对有关实验室的研究工作人员发动了攻击,毁坏有关设施。面对这一局面,英国政府正在努力采...利用动物进行药物活体试验似乎一直被人们认为是天经地义的。然而在英国,人们已经开始注意保护the welfare of lab animals,这方面的极端分子甚至对有关实验室的研究工作人员发动了攻击,毁坏有关设施。面对这一局面,英国政府正在努力采取措施,希望情况能够有所改善。展开更多
文摘Premier Wen Jiabao Monday urged local governments not to "waste a single minute" in implementing the 4-trillion-yuan ($586 billion) stimulus plan unveiled. "In expanding investment,
基金supported by the National Natural Science Foundation of China (NSFC)(62222308, 62173181, 62073171, 62221004)the Natural Science Foundation of Jiangsu Province (BK20200744, BK20220139)+3 种基金Jiangsu Specially-Appointed Professor (RK043STP19001)the Young Elite Scientists Sponsorship Program by CAST (2021QNRC001)1311 Talent Plan of Nanjing University of Posts and Telecommunicationsthe Fundamental Research Funds for the Central Universities (30920032203)。
文摘This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.
基金supported by the National Key R&D Program of China(2022ZD0119604)the National Natural Science Foundation of China(NSFC),(62222308,62173181,62221004)+1 种基金the Natural Science Foundation of Jiangsu Province(BK20220139)the Young Elite Scientists Sponsorship Program by CAST(2021QNRC001)。
文摘Dear Editor,This letter explores optimal formation control for a network of unmanned surface vessels(USVs).By designing an individual objective function for each USV,the optimal formation problem is transformed into a noncooperative game.Under this game theoretic framework,the optimal formation is achieved by seeking the Nash equilibrium of the regularized game.A modular structure consisting of a distributed Nash equilibrium seeker and a regulator is proposed.
基金partially supported by the National Natural Science Foundation of China(62173308)the Natural Science Foundation of Zhejiang Province of China(LR20F030001)+3 种基金the Jinhua Science and Technology Project(2022-1-042)University of Macao(MYRG2022-00108-FST,MYRG-CRG202200010-ICMS)the Science and Technology Development Fund,Macao S.A.R(0036/2021/AGJ)Chinese Guangdong’s S&T project(2022A0505020028)。
文摘Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.
基金supported in part by the Natural Science Foundation of Jiangsu Province of China(BK20231417,BK20210214)the National Natural Science Foundation of China(62273094,62203114)the“Zhishan”Scholars Programs of Southeast University.
文摘Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-defined convergence time for the PEG,a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information.Then,it is theoretically proved that the prescribedtime convergence of the designed algorithm for achieving Nash equilibrium of PEG.Eventually,the effectiveness of the PTNE method was validated by numerical simulation results.A PEG consists of two groups of agents:evaders and pursuers.The pursuers aim to capture the evaders through cooperative efforts,while the evaders strive to evade capture.PEG is a classic noncooperative game.It has attracted plenty of attention due to its wide application scenarios,such as smart grids[1],formation control[2],[3],and spacecraft rendezvous[4].It is noteworthy that most previous research on seeking the Nash equilibrium of the game,where no agent has an incentive to change its actions,has focused on asymptotic and exponential convergence[5]-[7].
基金supported by the National Natural Science Foundation of China(62373107,61921004,62303009)the Natural Science Foundation of Jiangsu Province of China(BK20202006)the“Zhishan”Scholars Programs of Southeast University。
文摘Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.
基金supported by the National Natural Science Foundation of China (NSFC) (62073171)the Natural Science Foundation of Jiangsu Province (BK20200744)。
文摘Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all players to the Nash equilibrium without requiring any knowledge of global parameters. Moreover, it is theoretically proved that the convergence time of the proposed seeking strategy can be predefined based on practical requirements. Finally, a numerical example is presented to validate the effectiveness of the proposed method.
文摘Regional integration is the core strategy of Africa in pursuing self-strength through unity and seeking independent development,while building development corridors is an important strategic means for realizing the integration and development of Africa.Starting from the Maputo Corridor proposed by the Southern African Development Community in 1996,African countries have been committed to promoting regional integration and national development through spatial development and regional connectivity.
文摘Since the second half of 2023,China-US relations have shown signs of improvement.While maintaining the primary framework of its containment policy,the American policy toward China has undergone some tactical adjustments,such as increasing exchanges with China,presenting a flexible stance toward bilateral economic and trade relations,and seeking limited cooperation while competing with China.
文摘This year marks a significant year for establishing guardrails around artificial intelligence(AI),with major regions like the EU,the U.S.,and China converging over a risk-based regulatory approach,albeit with distinct differences.This trend reflects a broader trend towards digital sovereignty,with governments seeking increased control over their digital markets and technologies to ensure safety and security,while aiming to boost their AI competitiveness.
文摘As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheapest path to meet its climate ambitions,he told European Parliament members on September 17.Some EU members are rethinking their China strategy,seeking feasible solutions for their differences with China and more cooperation,as indicated by Spanish Prime Minister Pedro Sanchez during his visit to China.
文摘China’s persistent efforts to encourage innovations in science and technology have made remarkable achievements.The Patent Cooperation Treaty(PCT)Yearly Review 2023 gave a detailed report and statistics on global patents over the last year.The PCT is an international patent treaty that provides a unified procedure for filing and processing patent applications and facilitates the seeking of patent protection for inventions in multiple countries.
文摘Building trust and seeking harmony should be the guiding principle for promoting friendly exchanges and win-win cooperation between different civilizations.THE term“jiang xin xiu mu”(讲信修睦),literally meaning to build trust and seek amity,conveys an ancient Confucian ideal for society and policy.Today it has become an important concept in China’s ancient treasure chest of wisdom that helps shape the Chinese culture and society.
文摘Inner Mongolia’s pastoral practices can be adapted by Nigeria for the management of its grasslands Imagine sipping on a cup of traditional Inner Mongolian tea,its warmth seeping into your soul as you gaze out at the endless expanse of lush grasslands.The scene is like a painting,where horses gallop carelessly,and cows and sheep graze contentedly under the vast blue sky.This picturesque landscape of Hulun Buir in Inner Mongolia,China,is a testament to the beauty and ecological richness of well-managed grasslands.It is here that I embarked on a journey to understand the intricate balance between nature and human activity,seeking lessons that could be applied to the grasslands and pastoral systems of my home country,Nigeria.
文摘Lying in her makeshift hospital bed,Joyce Tembo thanked medical personnel for evacuating her to the designated national cholera treatment centre,6 km north of Zambia’s capital Lusaka.She was recently diagnosed with diarrhoeal disease.Tembo,43,commended the medical sta!stationed at the treatment centre for their great service to thousands of patients,especially women and children seeking urgent treatment.“I am very grateful to the Chinese doctors who attended to me as soon as the ambulance rushed me to the clinic where I received urgent treatment;they have really saved my life,”Tembo told ChinAfrica.But not all residents in her community are as lucky as her.Many in the densely populated slums die every day due to the area’s poor sanitation-one of the major causes of the cholera outbreak.
文摘Tough measures taken to guarantee food safety during the 2008 Olympic Games It’s not only in the medal stakes that China hopes to impress the world at the 2008 Olympics. When the waves of vis-
文摘World’s biggest small trade hub explores new ways to recover from pandemic Wang Minfeng’s tools and hardware company in Yiwu,a city in Zhejiang Province,east China,is sea rching for ways to survive the economic impact of the novel coronavirus disease (COVID-1 9) pandemic.Wang started the business even before the Yiwu International Trade City,the world’s largest small commodity trade hub with more than 70,000 tenants,was established in2001,the year China joined the World Trade Organization.It survived the severe acute respiratory syndrome outbreak in 2003 and the global financial crisis in 2008.
文摘读过此文,corporal punishment(肉刑;体罚》应该不再是一个生词了。因为,corporal punishment在本文一而再地出现。英国的一个校长走上了地区法院,坚决主张恢复教师对行为不端的学生进行体罚的权利。此君在法院一定振振有辞,因为,他的这个主张有《圣经》的主持!《圣经》云,Your rod andstaff they comfort me。】