This paper studies the infinite time horizon mixed H-two/H-infinity control problem for descriptor systems using Nash game approach. A necessary/sufficient condition for the existence of infinite horizon H-two/H-infin...This paper studies the infinite time horizon mixed H-two/H-infinity control problem for descriptor systems using Nash game approach. A necessary/sufficient condition for the existence of infinite horizon H-two/H-infinity control is presented in the form of two coupled algebraic Riccati equations, respectively. Finally, a suboptimal H-two/H-infinity controller design is given based on an iterative linear matrix inequality algorithm.展开更多
Vocabulary is a key to English learning. How to memorize words effectively has become a heated topic among teachers and students. Since primary school is the initial stage of English learning, it is imperative to cult...Vocabulary is a key to English learning. How to memorize words effectively has become a heated topic among teachers and students. Since primary school is the initial stage of English learning, it is imperative to cultivate students' interest in English and find a useful way of learning vocabulary. The study aims to prove that game teaching approach as a commonly used teaching approach can motivate students' interest and assist English teaching if it is combined with vocabulary teaching properly. In the study, 70 students of Grade four were randomly chosen from Wenzhou Jingshan primary school as the subjects, class 1as the experimental group while Class 2 as the control one. The results show that game teaching approach applied in English vocabulary teaching can help students learn vocabulary more efficiently than traditional vocabulary teaching method.展开更多
This paper studies the mixed H2/H∞ control for continuous-time linear dynamic systems.By applying Stackelberg game approach, the control input is treated as the leader and the disturbance is treated as the follower, ...This paper studies the mixed H2/H∞ control for continuous-time linear dynamic systems.By applying Stackelberg game approach, the control input is treated as the leader and the disturbance is treated as the follower, respectively. Under standard assumptions and maximum principle, a necessary and sufficient existence condition which is based on three decoupled Riccati equations is obtained.Explicit expression of controllers and solutions to forward backward differential equations(FBDES)are obtained by homogeneous analysis of variables. A numerical example is finally given to verify the efficiency of the proposed approach.展开更多
This paper consists of two parts. The first part introduces the strict aspiration as a new aspiration solution concept, which is provedto be existent for any cooperative game. The second part deals with theunsolved p...This paper consists of two parts. The first part introduces the strict aspiration as a new aspiration solution concept, which is provedto be existent for any cooperative game. The second part deals with theunsolved problem put forward by Bennett by showing that there is atleast one payoff which is balanced, partnered and equal gains aspiration.The proof is algebraic and constructive, thus providing an algorithm forfinding such aspirations.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 60674019, 61074088)
文摘This paper studies the infinite time horizon mixed H-two/H-infinity control problem for descriptor systems using Nash game approach. A necessary/sufficient condition for the existence of infinite horizon H-two/H-infinity control is presented in the form of two coupled algebraic Riccati equations, respectively. Finally, a suboptimal H-two/H-infinity controller design is given based on an iterative linear matrix inequality algorithm.
文摘Vocabulary is a key to English learning. How to memorize words effectively has become a heated topic among teachers and students. Since primary school is the initial stage of English learning, it is imperative to cultivate students' interest in English and find a useful way of learning vocabulary. The study aims to prove that game teaching approach as a commonly used teaching approach can motivate students' interest and assist English teaching if it is combined with vocabulary teaching properly. In the study, 70 students of Grade four were randomly chosen from Wenzhou Jingshan primary school as the subjects, class 1as the experimental group while Class 2 as the control one. The results show that game teaching approach applied in English vocabulary teaching can help students learn vocabulary more efficiently than traditional vocabulary teaching method.
基金supported by the National Natural Science Foundation of China under Grant Nos.61633014,61573220,61573221,61403235the Fundamental Research Funds of Shandong University under Grant No.2017JC009
文摘This paper studies the mixed H2/H∞ control for continuous-time linear dynamic systems.By applying Stackelberg game approach, the control input is treated as the leader and the disturbance is treated as the follower, respectively. Under standard assumptions and maximum principle, a necessary and sufficient existence condition which is based on three decoupled Riccati equations is obtained.Explicit expression of controllers and solutions to forward backward differential equations(FBDES)are obtained by homogeneous analysis of variables. A numerical example is finally given to verify the efficiency of the proposed approach.
文摘This paper consists of two parts. The first part introduces the strict aspiration as a new aspiration solution concept, which is provedto be existent for any cooperative game. The second part deals with theunsolved problem put forward by Bennett by showing that there is atleast one payoff which is balanced, partnered and equal gains aspiration.The proof is algebraic and constructive, thus providing an algorithm forfinding such aspirations.
