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The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application
Li Xiao,
Junjie Bao,
Xi Shi
Issue:
Volume 6, Issue 2, April 2017
Pages:
68-74
Received:
31 January 2017
Accepted:
14 February 2017
Published:
6 March 2017
Abstract: This paper studies the global exponential stability for a class of nonlinear dynamical systems. A new state feedback controller is designed, which can effectively stabilize this kind of nonlinear system to the equilibrium point at exponential rate. The feasibility of the method is proved theoretically, and an algorithm is systematically proposed to configure the related parameters of the controller. Then simulation results show the effectiveness of the proposed control method.
Abstract: This paper studies the global exponential stability for a class of nonlinear dynamical systems. A new state feedback controller is designed, which can effectively stabilize this kind of nonlinear system to the equilibrium point at exponential rate. The feasibility of the method is proved theoretically, and an algorithm is systematically proposed to...
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A Combined Analytic and Numerical Procedure for Stagnation-Point Flow
Issue:
Volume 6, Issue 2, April 2017
Pages:
75-82
Received:
8 January 2017
Accepted:
7 February 2017
Published:
14 March 2017
Abstract: The two dimensional vector form of the Navier-Stokes equation is reduced to a fourth–order equation for the streamfunction. Boundary conditions arise from considerations of the no-slip constraint at the surface as well the interaction of viscous flow with potential-flow at the edge of the boundary layer. By employing a separation of variables technique and introducing certain dimensionless variables, the stream function equation is converted into its dimensionless analog with appropriate boundary conditions. The resulting quasi-linear third-order ordinary differential equation facilitates the numerical computation of the velocity and the pressure terms. This is achieved by solving the nonlinear two-point boundary-value problem with a time-marching method involving a Crank-Nicolson and Newton-linearization schemes until steady-state solution is obtained. The velocity, stream-function and pressure profiles are discussed with reference to various computation parameters and are found to be in good agreement with the physics of the problem. It was also found that there is no penalty in accuracy for a broad range of CFL numbers. However as the CFL number exceeds a certain threshold, the approach to convergence becomes erratic as indicated by the spurious results produced by the solution residuals.
Abstract: The two dimensional vector form of the Navier-Stokes equation is reduced to a fourth–order equation for the streamfunction. Boundary conditions arise from considerations of the no-slip constraint at the surface as well the interaction of viscous flow with potential-flow at the edge of the boundary layer. By employing a separation of variables techn...
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Analytical Relation Between the Concentration of Species at the Electrode Surface and Current for Quasi-Reversible Reactions
S. Pavithra,
L. Rajendran,
Sunil Kumar
Issue:
Volume 6, Issue 2, April 2017
Pages:
83-87
Received:
23 February 2017
Accepted:
14 March 2017
Published:
27 March 2017
Abstract: Cyclic voltammetry take into account the mass transport of species and the kinetics at the electrode surface. Analytical solutions of these models are not well-known due to the complexity of the boundary conditions. In this study we present analytical relation between the concentration at the electrode surface and the current for quasi-reversible reaction.A new semi analytic description ofquasi-reversible cyclic voltammetry at a electrode is obtained, assuming equal diffusion coefficients. It provides rigorous and complete expression for the voltamettric current, in the form of the integral or the integral equation.This solution method can be extended to cases that are more general and may be useful for benchmarking purposes.
Abstract: Cyclic voltammetry take into account the mass transport of species and the kinetics at the electrode surface. Analytical solutions of these models are not well-known due to the complexity of the boundary conditions. In this study we present analytical relation between the concentration at the electrode surface and the current for quasi-reversible r...
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Special Case Algorithm for N-jobs M-machines Flow Shop Scheduling Problems
Issue:
Volume 6, Issue 2, April 2017
Pages:
88-92
Received:
10 February 2016
Accepted:
29 December 2016
Published:
7 April 2017
Abstract: In this paper we have developed an algorithm for n-jobs with m-machine flow shop scheduling problems in order to handle variety of data type than Geleta [3]. In other hands, as in Geleta [3] it main objective is how to obtain optimal sequence of jobs with aim of minimum squared value of lateness.
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A Holistic Review of Soft Computing Techniques
Philip O. Omolaye,
Joseph M. Mom,
Gabriel A. Igwue
Issue:
Volume 6, Issue 2, April 2017
Pages:
93-110
Received:
15 February 2017
Accepted:
17 March 2017
Published:
10 April 2017
Abstract: Due to notable technological convergence that brought about exponential growth in computer world, Soft Computing (SC) has played a vital role with automation capability features to new levels of complex applications. In this research paper, the authors reviewed journals related to the subject matter with the aim of striking a convincing balance between a system that is capable of tolerance to uncertainty, imprecision, approximate reasoning and partial truth to achieve tractability, robustness, economy of communication, high machine intelligence quotient (MIQ), low cost solution and better rapport with reality to conventional techniques. This paper gives an insight on four major consortiums of SC that sprang from the concept of cybernetics, explores and reviews the different techniques, methodologies; application areas and algorithms are formulated to give an idea on how these computing techniques are applied to create intelligent agents to solve a variety of problems. The mechanisms highlighted can serve as an inspiration platform and awareness to new and old researchers that are not or fully grounded in this unique area of research and to create avenue in order to fully embrace the techniques in research communities.
Abstract: Due to notable technological convergence that brought about exponential growth in computer world, Soft Computing (SC) has played a vital role with automation capability features to new levels of complex applications. In this research paper, the authors reviewed journals related to the subject matter with the aim of striking a convincing balance bet...
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Mathematical Model for Bio-directional Diffusion of Reactants and Products in the Enzymatic Reaction of Glucose in a Spherical Matrix
K. Saranya,
V. Mohan,
L. Rajendran
Issue:
Volume 6, Issue 2, April 2017
Pages:
111-128
Received:
15 March 2017
Accepted:
28 March 2017
Published:
27 April 2017
Abstract: In this paper the theoretical model of glucose–oxidaise loaded in chitosan-aliginate microsphere and hydrogen peroxide production is discussed. The glucose and oxygen in the medium diffuse into the microsphere and react, as a catalyst by glucose oxidase, to produce gluconic acid and hydrogen peroxide. The model involves the system of nonlinear nonsteady-state reaction-diffusion equations. Analytical expressions for the concentrations of glucose, oxygen, gluconic acid and hydrogen peroxide are derived from these equations using homotopy perturbation and the reduction of order method. A comparison of the analytical approximation and numerical simulation is also presented. An agreement between analytical expressions and numerical results is observed. The effect of various parameters (glucose concentration in the external solution, particle size, enzyme loading and Michaelis constant etc.) on the concentration of gluconic acid and hydrogen peroxide release is discussed. Sensitivity analysis of parameters is also discussed.
Abstract: In this paper the theoretical model of glucose–oxidaise loaded in chitosan-aliginate microsphere and hydrogen peroxide production is discussed. The glucose and oxygen in the medium diffuse into the microsphere and react, as a catalyst by glucose oxidase, to produce gluconic acid and hydrogen peroxide. The model involves the system of nonlinear nons...
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