In this paper, we transform n-th order Lure direct control systems into nonlinear systems with separating variables, and induce a concept for absolute stability of part arguments. The necessary and sufficient conditio...In this paper, we transform n-th order Lure direct control systems into nonlinear systems with separating variables, and induce a concept for absolute stability of part arguments. The necessary and sufficient conditions (NASC) for the absolute stability of Lure direct control systems are given and some sufficient conditions are obtained展开更多
An equation of diffusion for microcapsules（hollow sphere）was developed,employing the mathematicalmodel for the diffusion characteristics of solid sphere.In the proposed equation,a combination diffusion coeffi-cient ...An equation of diffusion for microcapsules（hollow sphere）was developed,employing the mathematicalmodel for the diffusion characteristics of solid sphere.In the proposed equation,a combination diffusion coeffi-cient was introduced as a substitute for the diffusion coefficient in the solid sphere mathematical model and ex-pressed as a function of the diffusion coefficient inside solution of hollow sphere,as well as in the polymer mem-brane.With this modified model,the diffusion coefficients of glucose in NaCS（sodium cellulose sulfate）-PDADMAC（Poly-diallyl-dimethyl-ammonium chloride）membrane and in Ca-alginate gel membrane were deter-mined.The diffusion coefficient in NaCS-PDADMAC membrane was found to be 2.12×10<sup>-11</sup>m<sup>2</sup>·s<sup>-1</sup>and thatin Ca-alginate membrane 2.62×10<sup>-10</sup>m<sup>2</sup>·s<sup>-1</sup>.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘In this paper, we transform n-th order Lure direct control systems into nonlinear systems with separating variables, and induce a concept for absolute stability of part arguments. The necessary and sufficient conditions (NASC) for the absolute stability of Lure direct control systems are given and some sufficient conditions are obtained
基金Supported by the National Natural Science Foundation of China(No.29676069),the Foundation of the National Education committee of China and Mr.Chao Guangbiao advanced Technology Foundation of Zhejiang University.
文摘An equation of diffusion for microcapsules（hollow sphere）was developed,employing the mathematicalmodel for the diffusion characteristics of solid sphere.In the proposed equation,a combination diffusion coeffi-cient was introduced as a substitute for the diffusion coefficient in the solid sphere mathematical model and ex-pressed as a function of the diffusion coefficient inside solution of hollow sphere,as well as in the polymer mem-brane.With this modified model,the diffusion coefficients of glucose in NaCS（sodium cellulose sulfate）-PDADMAC（Poly-diallyl-dimethyl-ammonium chloride）membrane and in Ca-alginate gel membrane were deter-mined.The diffusion coefficient in NaCS-PDADMAC membrane was found to be 2.12×10<sup>-11</sup>m<sup>2</sup>·s<sup>-1</sup>and thatin Ca-alginate membrane 2.62×10<sup>-10</sup>m<sup>2</sup>·s<sup>-1</sup>.
