现代非线性理论与应用(英文)最新文献_第9页

Existence and Smoothness of Solution of Navier-Stokes Equation on R 3 r3上Navier-Stokes方程解的存在性与光滑性

现代非线性理论与应用(英文) Pub Date : 2015-05-15 DOI: 10.4236/IJMNTA.2015.42008

O. Vukovic

{"title":"Existence and Smoothness of Solution of Navier-Stokes Equation on R 3","authors":"O. Vukovic","doi":"10.4236/IJMNTA.2015.42008","DOIUrl":"https://doi.org/10.4236/IJMNTA.2015.42008","url":null,"abstract":"Navier-Stokes equation has for a long time been considered as one of the greatest unsolved problems in three and more dimensions. This paper proposes a solution to the aforementioned equation on R3. It introduces results from the previous literature and it proves the existence and uniqueness of smooth solution. Firstly, the concept of turbulent solution is defined. It is proved that turbulent solutions become strong solutions after some time in Navier-Stokes set of equations. However, in order to define the turbulent solution, the decay or blow-up time of solution must be examined. Differential inequality is defined and it is proved that solution of Navier-Stokes equation exists in a finite time although it exhibits blow-up solutions. The equation is introduced that establishes the distance between the strong solutions of Navier-Stokes equation and heat equation. As it is demonstrated, as the time goes to infinity, the distance decreases to zero and the solution of heat equation is identical to the solution of N-S equation. As the solution of heat equation is defined in the heat-sphere, after its analysis, it is proved that as the time goes to infinity, solution converges to the stationary state. The solution has a finite τ time and it exists when τ → ∞ that implies that it exists and it is periodic. The aforementioned statement proves the existence and smoothness of solution of Navier-Stokes equation on R3 and represents a major breakthrough in fluid dynamics and turbulence analysis.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70705779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Induction Motor Modeling Based on a Fuzzy Clustering Multi-Model—A Real-Time Validation 基于模糊聚类多模型的感应电机建模——实时验证

现代非线性理论与应用(英文) Pub Date : 2015-05-15 DOI: 10.4236/IJMNTA.2015.42011

A. Aicha, Bnhamed Mouna, S. Lassâad

引用次数: 2

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms 具有强阻尼和线性阻尼的非线性粘弹性波动方程的全局吸引子

现代非线性理论与应用(英文) Pub Date : 2015-05-15 DOI: 10.4236/IJMNTA.2015.42010

Liang Guo, Zhaoqin Yuan, Guoguang Lin

引用次数: 3

A DFIM Sensor Faults Multi-Model Diagnosis Approach Based on an Adaptive PI Multiobserver—Experimental Validation 基于自适应PI多观察者-实验验证的DFIM传感器故障多模型诊断方法

现代非线性理论与应用(英文) Pub Date : 2015-05-15 DOI: 10.4236/IJMNTA.2015.42012

A. Aicha, B. Mouna, S. Lassâad

{"title":"A DFIM Sensor Faults Multi-Model Diagnosis Approach Based on an Adaptive PI Multiobserver—Experimental Validation","authors":"A. Aicha, B. Mouna, S. Lassâad","doi":"10.4236/IJMNTA.2015.42012","DOIUrl":"https://doi.org/10.4236/IJMNTA.2015.42012","url":null,"abstract":"This paper studies the problem of diagnosis strategy for a doubly fed induction motor (DFIM) sensor faults. This strategy is based on unknown input proportional integral (PI) multiobserver. Thecontribution of this paper is on one hand the creation of a new DFIM model based on multi-model approach and, on the other hand, the synthesis of an adaptive PI multi-observer. The DFIM Volt per Hertz drive system behaves as a nonlinear complex system. It consists of a DFIM powered through a controlled PWM Voltage Source Inverter (VSI). The need of a sensorless drive requires soft sensors such as estimators or observers. In particular, an adaptive Proportional-Integral multi-observer is synthesized in order to estimate the DFIM’s outputs which are affected by different faults and to generate the different residual signals symptoms of sensor fault occurrence. The convergence of the estimation error is guaranteed by using the Lyapunov’s based theory. The proposed diagnosis approach is experimentally validated on a 1 kW Induction motor. Obtained simulation results confirm that the adaptive PI multiobserver consent to accomplish the detection, isolation and fault identification tasks with high dynamic performances.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Equal Ratio Gain Technique and Its Application in Linear General Integral Control 等比增益技术及其在线性一般积分控制中的应用

现代非线性理论与应用(英文) Pub Date : 2015-02-16 DOI: 10.4236/IJMNTA.2015.41003

Baishun Liu

{"title":"Equal Ratio Gain Technique and Its Application in Linear General Integral Control","authors":"Baishun Liu","doi":"10.4236/IJMNTA.2015.41003","DOIUrl":"https://doi.org/10.4236/IJMNTA.2015.41003","url":null,"abstract":"In conjunction with linear general integral control, this paper proposes a fire-new control design technique, named Equal ratio gain technique, and then develops two kinds of control design methods, that is, Decomposition and Synthetic methods, for a class of uncertain nonlinear system. By Routh’s stability criterion, we demonstrate that a canonical system matrix can be designed to be always Hurwitz as any row controller gains, or controller and its integrator gains increase with the same ratio. By solving Lyapunov equation, we demonstrate that as any row controller gains, or controller and its integrator gains of a canonical system matrix tend to infinity with the same ratio, if it is always Hurwitz, and then the same row solutions of Lyapunov equation all tend to zero. By Equal ratio gain technique and Lyapunov method, theorems to ensure semi-globally asymptotic stability are established in terms of some bounded information. Moreover, the striking robustness of linear general integral control and PID control is clearly illustrated by Equal ratio gain technique. Theoretical analysis, design example and simulation results showed that Equal ratio gain technique is a powerful tool to solve the control design problem of uncertain nonlinear system.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70705599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Impulsive Synchronization of Hyperchaotic Lü Systems with Two Methods 两种方法的超混沌Lü系统脉冲同步

现代非线性理论与应用(英文) Pub Date : 2015-02-16 DOI: 10.4236/IJMNTA.2015.41001

Mingjun Wang

引用次数: 5

The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations 非线性演化方程的exp(-φ(ξ))展开法及其应用

现代非线性理论与应用(英文) Pub Date : 2015-02-16 DOI: 10.4236/IJMNTA.2015.41004

M. Abdelrahman, E. Zahran, M. Khater