A Bianchi type-V space time is considered with linear equation of state in the scalar tensor theory of gravitation proposed by Brans and Dicke. We use the assumption of constant deceleration parameter and power law re...A Bianchi type-V space time is considered with linear equation of state in the scalar tensor theory of gravitation proposed by Brans and Dicke. We use the assumption of constant deceleration parameter and power law relation between scalar field øand scale factor R to find the solutions. Some physical and kinematical properties of the model are also discussed.展开更多
The weakly forced vibration of an axially moving viscoelastic beam is inves- tigated. The viscoelastic material of the beam is constituted by the standard linear solid model with the material time derivative involved....The weakly forced vibration of an axially moving viscoelastic beam is inves- tigated. The viscoelastic material of the beam is constituted by the standard linear solid model with the material time derivative involved. The nonlinear equations governing the transverse vibration are derived from the dynamical, constitutive, and geometrical relations. The method of multiple scales is used to determine the steady-state response. The modulation equation is derived from the solvability condition of eliminating secular terms. Closed-form expressions of the amplitude and existence condition of nontrivial steady-state response are derived from the modulation equation. The stability of non- trivial steady-state response is examined via the Routh-Hurwitz criterion.展开更多
This paper investigates the problem of robust optimal H<sub>∞</sub> control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncerta...This paper investigates the problem of robust optimal H<sub>∞</sub> control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g-suboptimal robust H<sub><sub></sub></sub><sub>∞</sub> state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the H<sub><sub><sub></sub></sub></sub><sub>∞</sub> noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.展开更多
This paper considers the problem of delay-dependent robust optimal H<sub>∞</sub> control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). Th...This paper considers the problem of delay-dependent robust optimal H<sub>∞</sub> control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H<sub>∞</sub> controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H<sub>∞</sub> noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H<sub>∞</sub> controller which minimizes the H<sub>∞</sub> noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.展开更多
The work presented in this paper concerns with analysis and synthesis of the two-dimensional Infinite Impulse Response (IIR) filters based on model order reduction. The synthesis is performed with two methods, the Pro...The work presented in this paper concerns with analysis and synthesis of the two-dimensional Infinite Impulse Response (IIR) filters based on model order reduction. The synthesis is performed with two methods, the Prony's method (Prony modified) and Iterative method, in the spatial domain, and with the method of Semi-Definite iterative Programming (SDP), in the frequency domain. After synthesis, we make an order reduction of the filter model by the Quasi-Gramians method.展开更多
The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical ex-pressions for substrate and product concentra-tions are presented. Approxima...The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical ex-pressions for substrate and product concentra-tions are presented. Approximate analytical me-thod (He’s Homotopy perturbation method) is used to solve the coupled non-linear differential equations containing a non-linear term related to enzymatic reaction. Closed analytical expres-sions for substrate concentration, enzyme sub-strate concentration and product concentration have been derived in terms of dimensionless reaction diffusion parameters k, and us-ing perturbation method. These results are compared with simulation results and are found to be in good agreement. The obtained results are valid for the whole solution domain.展开更多
为倡导绿色出行理念,解决以往研究在处理重复观测数据时容易忽视的潜在相关性和个体异质性问题,针对如何利用智能手机APP提供的多模式出行信息引导小汽车出行者转向停车换乘(Park-and-Ride,P+R)模式进行了探究,同时引入广义线性混合模型...为倡导绿色出行理念,解决以往研究在处理重复观测数据时容易忽视的潜在相关性和个体异质性问题,针对如何利用智能手机APP提供的多模式出行信息引导小汽车出行者转向停车换乘(Park-and-Ride,P+R)模式进行了探究,同时引入广义线性混合模型(Generalized Linear Mixed Model,GLMM)分析了多模式出行信息对小汽车出行者转向P+R意向的影响。首先,基于上海市路网设计意向调查问卷,整合了自驾和P+R两种出行方式的道路拥堵程度、出行时间、停车费用及地铁车厢座位情况等信息,并运用全因子设计法构建了24种不同信息水平组合的假设情景。然后,通过智能手机APP界面示意图向小汽车出行者展示这些多模式出行信息,并收集其转向P+R的意向数据。最后,运用GLMM方法处理同一个体重复决策数据中潜在的相关性和捕捉个体间的异质性。结果显示,GLMM的应用不仅解决了同一个体重复决策间的相关性,还揭示了不同个体对道路拥堵程度和地铁车厢座位情况的差异化关注;智能手机APP整合的多模式出行信息显著提升了小汽车出行者转向P+R的意愿,且这一转变占比达29.2%;高收入、长驾龄以及对P+R政策不了解的出行者转向P+R的意愿较低。研究表明,通过智能手机APP整合自驾和P+R的多模式出行信息能显著增强P+R方式的吸引力,可为提升P+R的普及率提供新思路,有效促进小汽车出行者向绿色出行方式的转变。展开更多
文摘A Bianchi type-V space time is considered with linear equation of state in the scalar tensor theory of gravitation proposed by Brans and Dicke. We use the assumption of constant deceleration parameter and power law relation between scalar field øand scale factor R to find the solutions. Some physical and kinematical properties of the model are also discussed.
基金Supported by National Natural Science Foundation of China （10571036） the Key Discipline Development Program of Beijing Municipal Commission （XK100080537）
基金Project supported by the National Natural Science Foundation of China (No.10972143)the Shanghai Municipal Education Commission (No.YYY11040)+2 种基金the Shanghai Leading Academic Discipline Project (No.J51501)the Leading Academic Discipline Project of Shanghai Institute of Technology(No.1020Q121001)the Start Foundation for Introducing Talents of Shanghai Institute of Technology (No.YJ2011-26)
文摘The weakly forced vibration of an axially moving viscoelastic beam is inves- tigated. The viscoelastic material of the beam is constituted by the standard linear solid model with the material time derivative involved. The nonlinear equations governing the transverse vibration are derived from the dynamical, constitutive, and geometrical relations. The method of multiple scales is used to determine the steady-state response. The modulation equation is derived from the solvability condition of eliminating secular terms. Closed-form expressions of the amplitude and existence condition of nontrivial steady-state response are derived from the modulation equation. The stability of non- trivial steady-state response is examined via the Routh-Hurwitz criterion.
文摘This paper investigates the problem of robust optimal H<sub>∞</sub> control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g-suboptimal robust H<sub><sub></sub></sub><sub>∞</sub> state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the H<sub><sub><sub></sub></sub></sub><sub>∞</sub> noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.
文摘This paper considers the problem of delay-dependent robust optimal H<sub>∞</sub> control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H<sub>∞</sub> controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H<sub>∞</sub> noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H<sub>∞</sub> controller which minimizes the H<sub>∞</sub> noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
文摘The work presented in this paper concerns with analysis and synthesis of the two-dimensional Infinite Impulse Response (IIR) filters based on model order reduction. The synthesis is performed with two methods, the Prony's method (Prony modified) and Iterative method, in the spatial domain, and with the method of Semi-Definite iterative Programming (SDP), in the frequency domain. After synthesis, we make an order reduction of the filter model by the Quasi-Gramians method.
文摘The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical ex-pressions for substrate and product concentra-tions are presented. Approximate analytical me-thod (He’s Homotopy perturbation method) is used to solve the coupled non-linear differential equations containing a non-linear term related to enzymatic reaction. Closed analytical expres-sions for substrate concentration, enzyme sub-strate concentration and product concentration have been derived in terms of dimensionless reaction diffusion parameters k, and us-ing perturbation method. These results are compared with simulation results and are found to be in good agreement. The obtained results are valid for the whole solution domain.
文摘为倡导绿色出行理念,解决以往研究在处理重复观测数据时容易忽视的潜在相关性和个体异质性问题,针对如何利用智能手机APP提供的多模式出行信息引导小汽车出行者转向停车换乘(Park-and-Ride,P+R)模式进行了探究,同时引入广义线性混合模型(Generalized Linear Mixed Model,GLMM)分析了多模式出行信息对小汽车出行者转向P+R意向的影响。首先,基于上海市路网设计意向调查问卷,整合了自驾和P+R两种出行方式的道路拥堵程度、出行时间、停车费用及地铁车厢座位情况等信息,并运用全因子设计法构建了24种不同信息水平组合的假设情景。然后,通过智能手机APP界面示意图向小汽车出行者展示这些多模式出行信息,并收集其转向P+R的意向数据。最后,运用GLMM方法处理同一个体重复决策数据中潜在的相关性和捕捉个体间的异质性。结果显示,GLMM的应用不仅解决了同一个体重复决策间的相关性,还揭示了不同个体对道路拥堵程度和地铁车厢座位情况的差异化关注;智能手机APP整合的多模式出行信息显著提升了小汽车出行者转向P+R的意愿,且这一转变占比达29.2%;高收入、长驾龄以及对P+R政策不了解的出行者转向P+R的意愿较低。研究表明,通过智能手机APP整合自驾和P+R的多模式出行信息能显著增强P+R方式的吸引力,可为提升P+R的普及率提供新思路,有效促进小汽车出行者向绿色出行方式的转变。
