In this paper,we study the dynamics of a Susceptible-Exposed-Infectious-Recovered(SEIR)nancial risk contagion model with time delay.Using stability theory and Hopf bifurcation theory,equilibria stability and Hopf bifu...In this paper,we study the dynamics of a Susceptible-Exposed-Infectious-Recovered(SEIR)nancial risk contagion model with time delay.Using stability theory and Hopf bifurcation theory,equilibria stability and Hopf bifurcation are analyzed in detail.Based on the epidemic model,we improve it by taking prior prevention and self-rescue into consideration,conclude pre-ventive intensity and self-rescue capabilities e ect the number of infections.At the same time,the analytical conditions for Hopf bifurcation are obtained,and the relevant results are veri ed by numerical simulations.展开更多
采用环氧氯丙烷对10-（2,5-二羟基苯基）-10-氢-9-氧杂-10-磷杂菲-10-氧化物（ODOPB）进行修饰,得到改性ODOPB（DHQEP）,然后采用原位聚合法在聚对苯二甲酸乙二醇酯（PET）中引入磷系阻燃剂DHQEP,制备成具有优异阻燃性能的DHQEP/PET纤维...采用环氧氯丙烷对10-（2,5-二羟基苯基）-10-氢-9-氧杂-10-磷杂菲-10-氧化物（ODOPB）进行修饰,得到改性ODOPB（DHQEP）,然后采用原位聚合法在聚对苯二甲酸乙二醇酯（PET）中引入磷系阻燃剂DHQEP,制备成具有优异阻燃性能的DHQEP/PET纤维,并对DHQEP以及DHQEP/PET的结构与性能进行研究。结果表明：环氧氯丙烷成功与ODOPB进行了反应;所制备的DHQEP/PET的特性黏度与纯PET相比有所下降;引入的DHQEP抑制了PET的结晶,也减弱了PET的取向;DHQEP/PET与PET相比在800℃下的残炭量有明显的提高;DHQEP/PET纤维的力学性能与PET纤维相比有所下降,当加入的DHQEP使磷的质量分数达到0.5%,牵伸倍数4.4倍时,纤维的断裂强度为2.6 c N/dtex,断裂伸长率为40.8%;同时极限氧指数达到30.5%,UL-94垂直燃烧等级达到V-1级,满足聚酯纤维阻燃要求的同时也改善了其熔滴现象。展开更多
This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, j...This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes free and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach.展开更多
基金Supported by National Natural Science Foundation of China(12272062).
文摘In this paper,we study the dynamics of a Susceptible-Exposed-Infectious-Recovered(SEIR)nancial risk contagion model with time delay.Using stability theory and Hopf bifurcation theory,equilibria stability and Hopf bifurcation are analyzed in detail.Based on the epidemic model,we improve it by taking prior prevention and self-rescue into consideration,conclude pre-ventive intensity and self-rescue capabilities e ect the number of infections.At the same time,the analytical conditions for Hopf bifurcation are obtained,and the relevant results are veri ed by numerical simulations.
文摘采用环氧氯丙烷对10-（2,5-二羟基苯基）-10-氢-9-氧杂-10-磷杂菲-10-氧化物（ODOPB）进行修饰,得到改性ODOPB（DHQEP）,然后采用原位聚合法在聚对苯二甲酸乙二醇酯（PET）中引入磷系阻燃剂DHQEP,制备成具有优异阻燃性能的DHQEP/PET纤维,并对DHQEP以及DHQEP/PET的结构与性能进行研究。结果表明：环氧氯丙烷成功与ODOPB进行了反应;所制备的DHQEP/PET的特性黏度与纯PET相比有所下降;引入的DHQEP抑制了PET的结晶,也减弱了PET的取向;DHQEP/PET与PET相比在800℃下的残炭量有明显的提高;DHQEP/PET纤维的力学性能与PET纤维相比有所下降,当加入的DHQEP使磷的质量分数达到0.5%,牵伸倍数4.4倍时,纤维的断裂强度为2.6 c N/dtex,断裂伸长率为40.8%;同时极限氧指数达到30.5%,UL-94垂直燃烧等级达到V-1级,满足聚酯纤维阻燃要求的同时也改善了其熔滴现象。
基金Supported by National Natural Science Foundation of P.R.China (60304001, 60474078) the Science Research Development Foundation of Nanjing University of Science and Technology
文摘This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes free and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach.
