An attack-resilient distributed Nash equilibrium(NE) seeking problem is addressed for noncooperative games of networked systems under malicious cyber-attacks,i.e.,false data injection(FDI) attacks.Different from many ...An attack-resilient distributed Nash equilibrium(NE) seeking problem is addressed for noncooperative games of networked systems under malicious cyber-attacks,i.e.,false data injection(FDI) attacks.Different from many existing distributed NE seeking works,it is practical and challenging to get resilient adaptively distributed NE seeking under unknown and unbounded FDI attacks.An attack-resilient NE seeking algorithm that is distributed(i.e.,independent of global information on the graph's algebraic connectivity,Lipschitz and monotone constants of pseudo-gradients,or number of players),is presented by means of incorporating the consensus-based gradient play with a distributed attack identifier so as to achieve simultaneous NE seeking and attack identification asymptotically.Another key characteristic is that FDI attacks are allowed to be unknown and unbounded.By exploiting nonsmooth analysis and stability theory,the global asymptotic convergence of the developed algorithm to the NE is ensured.Moreover,we extend this design to further consider the attack-resilient NE seeking of double-integrator players.Lastly,numerical simulation and practical experiment results are presented to validate the developed algorithms' effectiveness.展开更多
Dear Editor,This letter addresses the Nash equilibrium seeking problem for games with second-order players subject to unknown input deadzones and denial-of-service(DoS)attacks.By using ideas from the digital twin,a di...Dear Editor,This letter addresses the Nash equilibrium seeking problem for games with second-order players subject to unknown input deadzones and denial-of-service(DoS)attacks.By using ideas from the digital twin,a distributed Nash equilibrium seeking strategy is proposed.In the proposed strategy,the twin players are designed to be second-order integrators,based on which a distributed control law is provided so as to find the Nash equilibrium under DoS attacks.Moreover,adaptive control laws and sliding mode control laws are synthesized for the actual players such that they can track the twin players under unknown input dead-zones.Theoretical investigations show that the proposed strategy is effective to drive the actions of actual players to the Nash equilibrium under the given conditions.A numerical example is provided to verify the effectiveness of the proposed strategy.展开更多
This paper designs distributed Nash equilibrium seeking strategies for heterogeneous dynamic cyber-physical systems.In particular, we are concerned with parametric uncertainties in the control channel of the players. ...This paper designs distributed Nash equilibrium seeking strategies for heterogeneous dynamic cyber-physical systems.In particular, we are concerned with parametric uncertainties in the control channel of the players. Moreover, the weights on communication links can be compromised by time-varying uncertainties, which can result from possibly malicious attacks,faults and disturbances. To deal with the unavailability of measurement of optimization errors, an output observer is constructed,based on which adaptive laws are designed to compensate for physical uncertainties. With adaptive laws, a new distributed Nash equilibrium seeking strategy is designed by further integrating consensus protocols and gradient search algorithms.Moreover, to further accommodate compromised communication weights resulting from cyber-uncertainties, the coupling strengths of the consensus module are designed to be adaptive. As a byproduct, the coupling strengths are independent of any global information. With theoretical investigations, it is proven that the proposed strategies are resilient to these uncertainties and players' actions are convergent to the Nash equilibrium. Simulation examples are given to numerically validate the effectiveness of the proposed strategies.展开更多
Dear Editor,This letter presents a solution to the problem of seeking Nash equilibrium(NE)in a class of non-cooperative games of multi-agent systems(MASs)subject to the input disturbance and the networked communicatio...Dear Editor,This letter presents a solution to the problem of seeking Nash equilibrium(NE)in a class of non-cooperative games of multi-agent systems(MASs)subject to the input disturbance and the networked communication.To this end,a novel distributed robust predefined-time algorithm is proposed,which ensures the precise convergence of agent states to the NE within a settling time that can be directly determined by adjusting one or more parameters.The proposed algorithm employs an integral sliding mode strategy to effectively reject disturbances.Additionally,a consensus-based estimator is designed to overcome the challenge of limited information availability,where each agent can only access information from its directly connected neighbors,which conflicts with the computation of the cost function that requires information from all agents.Finally,a numerical example is provided to demonstrate the algorithm's effectiveness and performance.展开更多
Starting as a maxim for academicians in ancient China,“seeking truth from facts”has evolved into a fundamental guiding principle of the Communist Party of China.THE adage“实事求是(shi shi qiu shi),”which means“se...Starting as a maxim for academicians in ancient China,“seeking truth from facts”has evolved into a fundamental guiding principle of the Communist Party of China.THE adage“实事求是(shi shi qiu shi),”which means“seeking truth from facts,”can be traced back to a chapter about Liu De,son of Western Han(206 B.C.-24 A.D.)Emperor Liu Qi,in the first-century classic the Book of Han.展开更多
This study investigated the relationship between social anxiety and problematic Internet use in college students,and how it is moderated by attitudes toward seeking professional psychological help.Participants were 14...This study investigated the relationship between social anxiety and problematic Internet use in college students,and how it is moderated by attitudes toward seeking professional psychological help.Participants were 1451 Chinese college students(female=60.2%;mean age=19.85 years,SD=1.89 years).They completed the Interaction Anxiousness Scale,the Attitudes Toward Seeking Professional Psychological Help Scale-Short Form,and the Problematic Internet Use Scale.The results revealed that college students with higher social anxiety reported greater severity of problematic Internet use.Moreover,students with negative attitudes toward seeking professional psychological help also reported greater severity of problematic Internet use.Notably,attitudes toward seeking professional psychological help moderated the relationship between social anxiety and problematic Internet use in college student,such that the relationship was weakened when attitudes toward seeking professional psychological help was positive.These findings suggest a need for student development and support programs for promoting openness to seeking professional psychological help if with problematic Internet use from social anxiety.展开更多
Dear Editor,This letter studies the distributed Nash equilibrium seeking problem of aggregative game,in which the decision of each player obeys second-order dynamics and is constrained by nonidentical convex sets.To s...Dear Editor,This letter studies the distributed Nash equilibrium seeking problem of aggregative game,in which the decision of each player obeys second-order dynamics and is constrained by nonidentical convex sets.To seek the generalized Nash equilibrium(GNE),a projectionbased distributed algorithm via constant step-sizes is developed with linear convergence.In particular,a variable tracking technique is incorporated to estimate the aggregative function,and an event-triggered mechanism is designed to reduce the communication cost.Finally,a numerical example demonstrates the theoretical results.展开更多
A brand new method of automatic north seeking/sight stabilizing is introduced for usage in land fighting vehicles such as tank, etc. Some inertial devices are installed additionally on the platform along with relat...A brand new method of automatic north seeking/sight stabilizing is introduced for usage in land fighting vehicles such as tank, etc. Some inertial devices are installed additionally on the platform along with relative control circuits to make its function of North seeking possible. Double position calculation is adopted in this method, and by alignment at two sites the azimuth angle can be figured out. Also the orientation and the horizontal shifts of the gyro are simultaneously measured and compensated so as to improve the accuracy of north seeking. The system can automatically seek north when the vehicle is immobile. And the time consumption is no more than 5.5 min. Besides, the system can keep azimuth angle and provide tilt angle and pitch angle of the vehicle.展开更多
基金supported in part by the National Natural Science Foundation of China(62373022,U2241217,62141604)Beijing Natural Science Foundation(4252043,JQ23019)+4 种基金the Fundamental Research Funds for the Central Universities(JKF-2025037448805,JKF-2025086098295)the Aeronautical Science Fund(2023Z034051001)the Academic Excellence Foundation of BUAA for Ph.D. Studentsthe Science and Technology Innovation2030—Key Project of New Generation Artificial Intelligence(2020AAA0108200)the National Key Research and Development Program of China(2022YFB3305600)。
文摘An attack-resilient distributed Nash equilibrium(NE) seeking problem is addressed for noncooperative games of networked systems under malicious cyber-attacks,i.e.,false data injection(FDI) attacks.Different from many existing distributed NE seeking works,it is practical and challenging to get resilient adaptively distributed NE seeking under unknown and unbounded FDI attacks.An attack-resilient NE seeking algorithm that is distributed(i.e.,independent of global information on the graph's algebraic connectivity,Lipschitz and monotone constants of pseudo-gradients,or number of players),is presented by means of incorporating the consensus-based gradient play with a distributed attack identifier so as to achieve simultaneous NE seeking and attack identification asymptotically.Another key characteristic is that FDI attacks are allowed to be unknown and unbounded.By exploiting nonsmooth analysis and stability theory,the global asymptotic convergence of the developed algorithm to the NE is ensured.Moreover,we extend this design to further consider the attack-resilient NE seeking of double-integrator players.Lastly,numerical simulation and practical experiment results are presented to validate the developed algorithms' effectiveness.
基金supported by the National Natural Science Foundation of China(NSFC)(62222308,62173181,62221004)the Natural Science Foundation and Maojiao Ye of Jiangsu Province(BK20220139).
文摘Dear Editor,This letter addresses the Nash equilibrium seeking problem for games with second-order players subject to unknown input deadzones and denial-of-service(DoS)attacks.By using ideas from the digital twin,a distributed Nash equilibrium seeking strategy is proposed.In the proposed strategy,the twin players are designed to be second-order integrators,based on which a distributed control law is provided so as to find the Nash equilibrium under DoS attacks.Moreover,adaptive control laws and sliding mode control laws are synthesized for the actual players such that they can track the twin players under unknown input dead-zones.Theoretical investigations show that the proposed strategy is effective to drive the actions of actual players to the Nash equilibrium under the given conditions.A numerical example is provided to verify the effectiveness of the proposed strategy.
基金supported by the National Key R&D Program of China(2022ZD0119604)the National Natural Science Foundation of China(NSFC)(62173181,62222308,62221004)the Natural Science Foundation of Jiangsu Province(BK20220139)
文摘This paper designs distributed Nash equilibrium seeking strategies for heterogeneous dynamic cyber-physical systems.In particular, we are concerned with parametric uncertainties in the control channel of the players. Moreover, the weights on communication links can be compromised by time-varying uncertainties, which can result from possibly malicious attacks,faults and disturbances. To deal with the unavailability of measurement of optimization errors, an output observer is constructed,based on which adaptive laws are designed to compensate for physical uncertainties. With adaptive laws, a new distributed Nash equilibrium seeking strategy is designed by further integrating consensus protocols and gradient search algorithms.Moreover, to further accommodate compromised communication weights resulting from cyber-uncertainties, the coupling strengths of the consensus module are designed to be adaptive. As a byproduct, the coupling strengths are independent of any global information. With theoretical investigations, it is proven that the proposed strategies are resilient to these uncertainties and players' actions are convergent to the Nash equilibrium. Simulation examples are given to numerically validate the effectiveness of the proposed strategies.
基金supported by the National Natural Science Foundation of China(62373162,U24A20268,624B2055).
文摘Dear Editor,This letter presents a solution to the problem of seeking Nash equilibrium(NE)in a class of non-cooperative games of multi-agent systems(MASs)subject to the input disturbance and the networked communication.To this end,a novel distributed robust predefined-time algorithm is proposed,which ensures the precise convergence of agent states to the NE within a settling time that can be directly determined by adjusting one or more parameters.The proposed algorithm employs an integral sliding mode strategy to effectively reject disturbances.Additionally,a consensus-based estimator is designed to overcome the challenge of limited information availability,where each agent can only access information from its directly connected neighbors,which conflicts with the computation of the cost function that requires information from all agents.Finally,a numerical example is provided to demonstrate the algorithm's effectiveness and performance.
文摘Starting as a maxim for academicians in ancient China,“seeking truth from facts”has evolved into a fundamental guiding principle of the Communist Party of China.THE adage“实事求是(shi shi qiu shi),”which means“seeking truth from facts,”can be traced back to a chapter about Liu De,son of Western Han(206 B.C.-24 A.D.)Emperor Liu Qi,in the first-century classic the Book of Han.
基金funded by Science and Technology Research Project of Jiangxi’Department of Education(GJJ2200929)Key Project of Guangzhou Psychological Society(2023GZPS05).
文摘This study investigated the relationship between social anxiety and problematic Internet use in college students,and how it is moderated by attitudes toward seeking professional psychological help.Participants were 1451 Chinese college students(female=60.2%;mean age=19.85 years,SD=1.89 years).They completed the Interaction Anxiousness Scale,the Attitudes Toward Seeking Professional Psychological Help Scale-Short Form,and the Problematic Internet Use Scale.The results revealed that college students with higher social anxiety reported greater severity of problematic Internet use.Moreover,students with negative attitudes toward seeking professional psychological help also reported greater severity of problematic Internet use.Notably,attitudes toward seeking professional psychological help moderated the relationship between social anxiety and problematic Internet use in college student,such that the relationship was weakened when attitudes toward seeking professional psychological help was positive.These findings suggest a need for student development and support programs for promoting openness to seeking professional psychological help if with problematic Internet use from social anxiety.
基金supported by the National Natural Science Foundation of China(62473048,61925303,62088101,62273195,U19B2029).
文摘Dear Editor,This letter studies the distributed Nash equilibrium seeking problem of aggregative game,in which the decision of each player obeys second-order dynamics and is constrained by nonidentical convex sets.To seek the generalized Nash equilibrium(GNE),a projectionbased distributed algorithm via constant step-sizes is developed with linear convergence.In particular,a variable tracking technique is incorporated to estimate the aggregative function,and an event-triggered mechanism is designed to reduce the communication cost.Finally,a numerical example demonstrates the theoretical results.
文摘A brand new method of automatic north seeking/sight stabilizing is introduced for usage in land fighting vehicles such as tank, etc. Some inertial devices are installed additionally on the platform along with relative control circuits to make its function of North seeking possible. Double position calculation is adopted in this method, and by alignment at two sites the azimuth angle can be figured out. Also the orientation and the horizontal shifts of the gyro are simultaneously measured and compensated so as to improve the accuracy of north seeking. The system can automatically seek north when the vehicle is immobile. And the time consumption is no more than 5.5 min. Besides, the system can keep azimuth angle and provide tilt angle and pitch angle of the vehicle.
