**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**873

# Search results for: Integral Action

##### 873 MP-SMC-I Method for Slip Suppression of Electric Vehicles under Braking

**Authors:**
Tohru Kawabe

**Abstract:**

**Keywords:**
Sliding Mode Control,
Model Predictive Control,
Integral Action,
Electric Vehicle,
Slip suppression.

##### 872 On Fourier Type Integral Transform for a Class of Generalized Quotients

**Authors:**
A. S. Issa,
S. K. Q. AL-Omari

**Abstract:**

**Keywords:**
Fourier type integral,
Fourier integral,
generalized
quotient,
Boehmian,
distribution.

##### 871 On the Approximate Solution of a Nonlinear Singular Integral Equation

**Authors:**
Nizami Mustafa,
C. Ardil

**Abstract:**

In this study, the existence and uniqueness of the solution of a nonlinear singular integral equation that is defined on a region in the complex plane is proven and a method is given for finding the solution.

**Keywords:**
Approximate solution,
Fixed-point principle,
Nonlinear singular integral equations,
Vekua integral operator

##### 870 The Approximate Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind by Using Iterative Interpolation

**Authors:**
N. Parandin,
M. A. Fariborzi Araghi

**Abstract:**

**Keywords:**
Fuzzy function integral equations,
Iterative method,
Linear systems,
Parametric form of fuzzy number.

##### 869 Integral Image-Based Differential Filters

**Authors:**
Kohei Inoue,
Kenji Hara,
Kiichi Urahama

**Abstract:**

We describe a relationship between integral images and differential images. First, we derive a simple difference filter from conventional integral image. In the derivation, we show that an integral image and the corresponding differential image are related to each other by simultaneous linear equations, where the numbers of unknowns and equations are the same, and therefore, we can execute the integration and differentiation by solving the simultaneous equations. We applied the relationship to an image fusion problem, and experimentally verified the effectiveness of the proposed method.

**Keywords:**
Integral images,
differential images,
differential filters,
image fusion.

##### 868 Efficient Mean Shift Clustering Using Exponential Integral Kernels

**Authors:**
S. Sutor,
R. Röhr,
G. Pujolle,
R. Reda

**Abstract:**

This paper presents a highly efficient algorithm for detecting and tracking humans and objects in video surveillance sequences. Mean shift clustering is applied on backgrounddifferenced image sequences. For efficiency, all calculations are performed on integral images. Novel corresponding exponential integral kernels are introduced to allow the application of nonuniform kernels for clustering, which dramatically increases robustness without giving up the efficiency of the integral data structures. Experimental results demonstrating the power of this approach are presented.

**Keywords:**
Clustering,
Integral Images,
Kernels,
Person Detection,
Person Tracking,
Intelligent Video Surveillance.

##### 867 On One Application of Hybrid Methods For Solving Volterra Integral Equations

**Authors:**
G.Mehdiyeva,
V.Ibrahimov,
M.Imanova

**Abstract:**

**Keywords:**
Volterra integral equation,
hybrid methods,
stability
and degree,
methods of quadrature

##### 866 The Particle Swarm Optimization Against the Runge’s Phenomenon: Application to the Generalized Integral Quadrature Method

**Authors:**
A. Zerarka,
A. Soukeur,
N. Khelil

**Abstract:**

In the present work, we introduce the particle swarm optimization called (PSO in short) to avoid the Runge-s phenomenon occurring in many numerical problems. This new approach is tested with some numerical examples including the generalized integral quadrature method in order to solve the Volterra-s integral equations

**Keywords:**
Integral equation,
particle swarm optimization,
Runge's phenomenon.

##### 865 Nonlinear Torque Control for PMSM: A Lyapunov Technique Approach

**Authors:**
M. Ouassaid,
M. Cherkaoui,
A. Nejmi,
M. Maaroufi

**Abstract:**

This study presents a novel means of designing a simple and effective torque controller for Permanent Magnet Synchronous Motor (PMSM). The overall stability of the system is shown using Lyapunov technique. The Lyapunov functions used contain a term penalizing the integral of the tracking error, enhancing the stability. The tracking error is shown to be globally uniformly bounded. Simulation results are presented to show the effectiveness of the approach.

**Keywords:**
Integral action,
Lyapunov Technique,
Non Linear Control,
Permanent Magnet Synchronous Motors,
Torque Control,
Stability.

##### 864 Algebras over an Integral Domain and Immediate Neighbors

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
immediate neighbors,
integral domains.

##### 863 Numerical Solution of Hammerstein Integral Equations by Using Quasi-Interpolation

**Authors:**
M. Zarebnia,
S. Khani

**Abstract:**

In this paper first, a numerical method based on quasiinterpolation for solving nonlinear Fredholm integral equations of the Hammerstein-type is presented. Then, we approximate the solution of Hammerstein integral equations by Nystrom’s method. Also, we compare the methods with some numerical examples.

**Keywords:**
Hammerstein integral equations,
quasi-interpolation,
Nystrom’s method.

##### 862 Univalence of an Integral Operator Defined by Generalized Operators

**Authors:**
Salma Faraj Ramadan,
Maslina Darus

**Abstract:**

In this paper we define generalized differential operators from some well-known operators on the class A of analytic functions in the unit disk U = {z ∈ C : |z| < 1}. New classes containing these operators are investigated. Also univalence of integral operator is considered.

**Keywords:**
Univalent functions,
integral operators,
differential operators.

##### 861 An Asymptotic Solution for the Free Boundary Parabolic Equations

**Authors:**
Hsuan-Ku Liu,
Ming Long Liu

**Abstract:**

In this paper, we investigate the solution of a two dimensional parabolic free boundary problem. The free boundary of this problem is modelled as a nonlinear integral equation (IE). For this integral equation, we propose an asymptotic solution as time is near to maturity and develop an integral iterative method. The computational results reveal that our asymptotic solution is very close to the numerical solution as time is near to maturity.

**Keywords:**
Integral equation,
asymptotic solution,
free boundary problem,
American exchange option.

##### 860 Approximate Solution of Nonlinear Fredholm Integral Equations of the First Kind via Converting to Optimization Problems

**Authors:**
Akbar H. Borzabadi,
Omid S. Fard

**Abstract:**

**Keywords:**
Fredholm integral equation,
Optimization method,
Optimal control,
Nonlinear and linear programming

##### 859 Advanced Gronwall-Bellman-Type Integral Inequalities and Their Applications

**Authors:**
Zixin Liu,
Shu Lü,
Shouming Zhong,
Mao Ye

**Abstract:**

**Keywords:**
Gronwall-Bellman-Type integral inequalities,
integrodifferential equation,
p-exponentially stable,
mixed delays.

##### 858 High Accuracy Eigensolutions in Elasticity for Boundary Integral Equations by Nyström Method

**Authors:**
Pan Cheng,
Jin Huang,
Guang Zeng

**Abstract:**

**Keywords:**
boundary integral equation,
extrapolation algorithm,
aposteriori error estimate,
elasticity.

##### 857 Thermal Fracture Analysis of Fibrous Composites with Variable Fiber Spacing Using Jk-Integral

**Authors:**
Farid Saeidi,
Serkan Dag

**Abstract:**

**Keywords:**
Jk-integral,
variable fiber spacing,
thermoelasticity,
t-stress,
finite element method,
fibrous composite.

##### 856 Adaptive Integral Backstepping Motion Control for Inverted Pendulum

**Authors:**
Ö. Tolga Altınöz

**Abstract:**

The adaptive backstepping controller for inverted pendulum is designed by using the general motion control model. Backstepping is a novel nonlinear control technique based on the Lyapunov design approach, used when higher derivatives of parameter estimation appear. For easy parameter adaptation, the mathematical model of the inverted pendulum converted into the motion control model. This conversion is performed by taking functions of unknown parameters and dynamics of the system. By using motion control model equations, inverted pendulum is simulated without any information about not only parameters but also measurable dynamics. Also these results are compare with the adaptive backstepping controller which extended with integral action that given from [1].

**Keywords:**
Adaptive backstepping,
inverted pendulum,
nonlinear adaptive control.

##### 855 Multimodal Biometric Authentication Using Choquet Integral and Genetic Algorithm

**Authors:**
Anouar Ben Khalifa,
Sami Gazzah,
Najoua Essoukri BenAmara

**Abstract:**

The Choquet integral is a tool for the information fusion that is very effective in the case where fuzzy measures associated with it are well chosen. In this paper, we propose a new approach for calculating fuzzy measures associated with the Choquet integral in a context of data fusion in multimodal biometrics. The proposed approach is based on genetic algorithms. It has been validated in two databases: the first base is relative to synthetic scores and the second one is biometrically relating to the face, fingerprint and palmprint. The results achieved attest the robustness of the proposed approach.

**Keywords:**
Multimodal biometrics,
data fusion,
Choquet integral,
fuzzy measures,
genetic algorithm.

##### 854 A Note on the Numerical Solution of Singular Integral Equations of Cauchy Type

**Authors:**
M. Abdulkawi,
Z. K. Eshkuvatov,
N. M. A. Nik Long

**Abstract:**

This manuscript presents a method for the numerical solution of the Cauchy type singular integral equations of the first kind, over a finite segment which is bounded at the end points of the finite segment. The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density function. The force function is approximated by using the Chebyshev polynomials of the first kind. It is shown that the numerical solution of characteristic singular integral equation is identical with the exact solution, when the force function is a cubic function. Moreover, it also shown that this numerical method gives exact solution for other singular integral equations with degenerate kernels.

**Keywords:**
Singular integral equations,
Cauchy kernel,
Chebyshev polynomials,
interpolation.

##### 853 Solution of First kind Fredholm Integral Equation by Sinc Function

**Authors:**
Khosrow Maleknejad,
Reza Mollapourasl,
Parvin Torabi,
Mahdiyeh Alizadeh,

**Abstract:**

**Keywords:**
Integral equation,
Fredholm type,
Collocation method,
Sinc approximation.

##### 852 An Experimental Consideration of the Hybrid Architecture Based on the Situated Action Generator

**Authors:**
Serin Lee,
Takashi Kubota,
Ichiro Nakatani

**Abstract:**

The approaches to make an agent generate intelligent actions in the AI field might be roughly categorized into two ways–the classical planning and situated action system. It is well known that each system have its own strength and weakness. However, each system also has its own application field. In particular, most of situated action systems do not directly deal with the logical problem. This paper first briefly mentions the novel action generator to situatedly extract a set of actions, which is likely to help to achieve the goal at the current situation in the relaxed logical space. After performing the action set, the agent should recognize the situation for deciding the next likely action set. However, since the extracted action is an approximation of the action which helps to achieve the goal, the agent could be caught into the deadlock of the problem. This paper proposes the newly developed hybrid architecture to solve the problem, which combines the novel situated action generator with the conventional planner. The empirical result in some planning domains shows that the quality of the resultant path to the goal is mostly acceptable as well as deriving the fast response time, and suggests the correlation between the structure of problems and the organization of each system which generates the action.

**Keywords:**
Situated reasoning,
situated action,
planning,
hybrid architecture

##### 851 Hybrid Function Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

**Authors:**
jianhua Hou,
Changqing Yang,
and Beibo Qin

**Abstract:**

A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed. The Fredholm type equations which have many applications in mathematical physics are then considered. The method is based on hybrid function approximations. The properties of hybrid of block-pulse functions and Chebyshev polynomials are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.

**Keywords:**
Hybrid functions,
Fredholm integral equation,
Blockpulse,
Chebyshev polynomials,
product operational matrix.

##### 850 Improved Robust Stability Criteria of a Class of Neutral Lur’e Systems with Interval Time-Varying Delays

**Authors:**
Longqiao Zhou,
Zixin Liu,
Shu Lü

**Abstract:**

This paper addresses the robust stability problem of a class of delayed neutral Lur’e systems. Combined with the property of convex function and double integral Jensen inequality, a new tripe integral Lyapunov functional is constructed to derive some new stability criteria. Compared with some related results, the new criteria established in this paper are less conservative. Finally, two numerical examples are presented to illustrate the validity of the main results.

**Keywords:**
Lur’e system,
Convex function,
Jensen integral inequality,
Triple-integral method,
Exponential stability.

##### 849 A Wind Farm Reduced Order Model Using Integral Manifold Theory

**Authors:**
M. Sedighizadeh,
A. Rezazadeh

**Abstract:**

**Keywords:**
Wind,
Reduced Order,
Integral Manifold.

##### 848 Hermite–Hadamard Type Integral Inequalities Involving k–Riemann–Liouville Fractional Integrals and Their Applications

**Authors:**
Artion Kashuri,
Rozana Liko

**Abstract:**

**Keywords:**
Hermite–Hadamard’s inequalities,
k–Riemann–Liouville fractional integral,
H¨older’s inequality,
Special means.

##### 847 Treatment of Spin-1/2 Particle in Interaction with a Time-Dependent Magnetic Field by the Fermionic Coherent-State Path-Integral Formalism

**Authors:**
Aouachria Mekki

**Abstract:**

We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.

**Keywords:**
Path integral,
formalism,
Propagator.

##### 846 Integral Domains and Their Algebras: Topological Aspects

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
valuation domains,
integral domains.

##### 845 Improving the Shunt Active Power Filter Performance Using Synchronous Reference Frame PI Based Controller with Anti-Windup Scheme

**Authors:**
Consalva J. Msigwa,
Beda J. Kundy,
Bakari M. M. Mwinyiwiwa

**Abstract:**

**Keywords:**
Phase Locked Loop (PLL),
Voltage SourceConverter (VSC),
Shunt Active Power Filter (SAPF),
PI,
Pulse WidthModulation (PWM).

##### 844 Spline Collocation for Solving System of Fredholm and Volterra Integral Equations

**Authors:**
N. Ebrahimi,
J. Rashidinia

**Abstract:**

In this paper, numerical solution of system of Fredholm and Volterra integral equations by means of the Spline collocation method is considered. This approximation reduces the system of integral equations to an explicit system of algebraic equations. The solution is collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. The error analysis of proposed numerical method is studied theoretically. The results are compared with the results obtained by other methods to illustrate the accuracy and the implementation of our method.

**Keywords:**
Convergence analysis,
Cubic B-spline,
Newton-
Cotes formula,
System of Fredholm and Volterra integral equations.