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
To the Editor,A 26-year-old woman with congenital heart disease,postatrial septal defect repair,postarterial catheter ligation,hypoxia-associated pulmonary hypertension,and reduced right heart function,which manifeste...To the Editor,A 26-year-old woman with congenital heart disease,postatrial septal defect repair,postarterial catheter ligation,hypoxia-associated pulmonary hypertension,and reduced right heart function,which manifested as a severe decrease in activity tolerance,chest tightness and shortness of breath,and easy fatigue of breathing,was treated with oxygen,targeting medications such as anisentan,tadalafil,remodulin,and diuretic potassium supplementation to enhance cardiac function,and then her symptoms were slightly improved compared with the previous ones.She was guided with in-hospital respiratory training to the extent that the patient could tolerate it and then was discharged from the hospital to have a home-based respiratory rehabilitation for a period of 3 months.The training plan was as follows:(i)Respiratory muscle function test:the patient's resting maximal inspiratory pressure(MIP)and maximal expiratory pressure(MEPw)ere assessed by the respiratory trainer equipment,and the respiratory muscle weakness/invulnerability was defined as a measured maximal pressure value less than 80 cmH_(2)0 according to the ERS guidelines.展开更多
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To the Editor,A 26-year-old woman with congenital heart disease,postatrial septal defect repair,postarterial catheter ligation,hypoxia-associated pulmonary hypertension,and reduced right heart function,which manifested as a severe decrease in activity tolerance,chest tightness and shortness of breath,and easy fatigue of breathing,was treated with oxygen,targeting medications such as anisentan,tadalafil,remodulin,and diuretic potassium supplementation to enhance cardiac function,and then her symptoms were slightly improved compared with the previous ones.She was guided with in-hospital respiratory training to the extent that the patient could tolerate it and then was discharged from the hospital to have a home-based respiratory rehabilitation for a period of 3 months.The training plan was as follows:(i)Respiratory muscle function test:the patient's resting maximal inspiratory pressure(MIP)and maximal expiratory pressure(MEPw)ere assessed by the respiratory trainer equipment,and the respiratory muscle weakness/invulnerability was defined as a measured maximal pressure value less than 80 cmH_(2)0 according to the ERS guidelines.
