Search results for: S. Effati

Items from 1 to 20 out of 38 results

article

T-operators in hesitant fuzzy sets and their applications to fuzzy rule-based classifier

M. Ranjbar, S. Effati, A.V. Kamyad

Applied Soft Computing > 2018 > 62 > C > 423-440

Extending of the T-operators on hesitant fuzzy sets (HFSs) is important in the theory and applications. In this paper, we used two comparative operators for expressing monotonicity of the T-operators on hesitant fuzzy elements (HFEs). Hence, properties of some T-operators for Xu-Xia partial order (≤ℍ(m)) and Xia-Xu order (⪯) are studied on typical hesitant fuzzy elements (THFEs). Finally, an application...

article

An artificial neural network for solving quadratic zero-one programming problems

M. Ranjbar, S. Effati, S.M. Miri

Neurocomputing > 2017 > 235 > C > 192-198

This paper presents an artificial neural network to solve the quadratic zero-one programming problems under linear constraints. In this paper, by using the connection between integer and nonlinear programming, the quadratic zero-one programming problem is transformed into the quadratic programming problem with nonlinear constraints. Then, by using the nonlinear complementarity problem (NCP) function...

article

Solving differential equations of fractional order using an optimization technique based on training artificial neural network

M. Pakdaman, A. Ahmadian, S. Effati, S. Salahshour, more

Applied Mathematics and Computation > 2017 > 293 > C > 81-95

The current study aims to approximate the solution of fractional differential equations (FDEs) by using the fundamental properties of artificial neural networks (ANNs) for function approximation. In the first step, we derive an approximate solution of fractional differential equation (FDE) by using ANNs. In the second step, an optimization approach is exploited to adjust the weights of ANNs such that...

article

Smoothing approach for a class of nonsmooth optimal control problems

M.H. Noori Skandari, A.V. Kamyad, S. Effati

Applied Mathematical Modelling > 2016 > 40 > 2 > 886-903

In this study, we consider a nonsmooth optimal control problem. First, we convert this problem into the corresponding smooth optimal control problem using a practical generalized derivative. Next, we utilize the Chebyshev pseudo-spectral method to solve the smooth problem and analyze the feasibility and convergence of the approximations obtained. Finally, we approximate the optimal solutions of some...

article

New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system

H. Saberi Nik, S. Effati, J. Saberi-Nadjafi

Journal of Complexity > 2015 > 31 > 5 > 715-730

In this paper, by using the optimization idea, a new ultimate bound for the complex Lorenz system is derived. It is shown that a hyperelliptic estimate of the ultimate bound set can be analytically calculated based on the optimization method and the Lagrange multiplier method. And based on the ellipsoidal bound set and set operations, one further obtains a more conservative boundary for each variable...

article

Artificial neural network method for solving the Navier–Stokes equations

M. Baymani, S. Effati, H. Niazmand, A. Kerayechian

Neural Computing and Applications > 2015 > 26 > 4 > 765-773

In this paper, a new method based on neural network is developed for obtaining the solution of the Navier–Stokes equations in an analytical function form. The solution procedure is based upon forming a trial solution consisting of two parts. The first part directly satisfies the boundary conditions and therefore, contains no adjustable parameters. The second part is constructed such that the governing...

article

Hybrid projective synchronization and control of the Baier–Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters

H. Saberi Nik, J. Saberi-Nadjafi, S. Effati, R.A. Van Gorder

Applied Mathematics and Computation > 2014 > 248 > Complete > 55-69

The problem of hybrid projective synchronization (HPS) strategies and control for the Baier–Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters is considered. Based on the Lasalle invariance principle and adaptive control method, adaptive controllers and parameters update laws are given for the HPS between two identical hyper-chaotic systems with fully unknown parameters. Using...

article

An approximate method for solving a class of nonlinear optimal control problems

H. Saberi Nik, S. Effati

Optimal Control Applications and Methods > 35 > 3 > 324 - 339

This paper presents a novel computational approach to generate the suboptimal solutions for a class of nonlinear optimal control problems (OCP's) with a quadratic performance index. Our method is based on the one‐dimensional differential transform method (DTM) and new polynomials that are called DT's polynomials. This method simplifies the difficulties and massive computational work for calculating...

article

Optimal and adaptive control for a kind of 3D chaotic and 4D hyper-chaotic systems

S. Effati, J. Saberi-Nadjafi, H. Saberi Nik

Applied Mathematical Modelling > 2014 > 38 > 2 > 759-774

This paper is concerned with the chaos control of two autonomous chaotic and hyper-chaotic systems. First, based on the Pontryagin minimum principle (PMP), an optimal control technique is presented. Next, we proposed Lyapunov stability to control of the autonomous chaotic and hyper-chaotic systems with unknown parameters by a feedback control approach. Matlab bvp4c and ode45 have been used for solving...

article

A new computational approach for solving optimal control of linear PDEs problem

M. Mahmoudi, A. V. Kamyad, S. Effati

Acta Mathematicae Applicatae Sinica, English Series > 2014 > 30 > 3 > 735-748

In this paper, we present a new computational approach for solving an internal optimal control problem, which is governed by a linear parabolic partial differential equation. Our approach is to approximate the PDE problem by a nonhomogeneous ordinary differential equation system in higher dimension. Then, the homogeneous part of ODES is solved using semigroup theory. In the next step, the convergence...

article

Generalized Euler–Lagrange equation for nonsmooth calculus of variations

M. H. Noori Skandari, A. V. Kamyad, S. Effati

Nonlinear Dynamics > 2014 > 75 > 1-2 > 85-100

In this paper, we first introduce a novel generalized derivative and obtain the generalized first-order Taylor expansion of the nonsmooth functions. Then we derive the generalized Euler–Lagrange equation for the nonsmooth calculus of variations and solve this equation by using Chebyshev pseudospectral method, approximately. Finally, the optimal solutions of some problems in the nonsmooth calculus...

article

Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems

H. Saberi Nik, S. Effati, S. S. Motsa, M. Shirazian

Numerical Algorithms > 2014 > 65 > 1 > 171-194

A combination of the hybrid spectral collocation technique and the homotopy analysis method is used to construct an iteration algorithm for solving a class of nonlinear optimal control problems (NOCPs). In fact, the nonlinear two-point boundary value problem (TPBVP), derived from the Pontryagin’s Maximum Principle (PMP), is solved by spectral homotopy analysis method (SHAM). For the first time, we...

article

Homotopy perturbation method and He’s polynomials for solving the porous media equation

H. Saberi nik, M. S. Zahedi, R. Buzhabadi, S. Effati

Computational Mathematics and Modeling > 2013 > 24 > 2 > 279-292

In this paper, the homotopy perturbation method (HPM) is employed to solve the porous media equation. The particular exact solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer are obtained using He’s polynomials based on the homotopy perturbation method. The solution procedure becomes easier, simpler, and more straightforward. Also, the obtained...

article

Hyperchaos control of the hyperchaotic Chen system by optimal control design

S. Effati, H. Saberi Nik, A. Jajarmi

Nonlinear Dynamics > 2013 > 73 > 1-2 > 499-508

The aim of this paper is to study the chaos, optimal control, and adaptive control of the hyperchaotic Chen system. In this paper, applying the Pontryagin’s minimum principle (PMP), the optimal control inputs for the interested model are obtained with respect to the selected measure. A piecewise-spectral homotopy analysis method (PSHAM) is used for solving the hyperchaotic Chen system and the extreme...

article

Solution of linear optimal control systems by differential transform method

H. Saberi Nik, S. Effati, A. Yildirim

Neural Computing and Applications > 2013 > 23 > 5 > 1311-1317

In this paper, we obtain the approximate solutions for optimal control of linear systems, which have a quadratic performance index. The differential transform method (DTM) is applied for solving the extreme conditions obtained from the Pontryagin’s maximum principle. The differential transform method is one of the approximate methods, which can be easily applied to many linear and nonlinear problems...

article

An approximate-analytical solution for the Hamilton–Jacobi–Bellman equation via homotopy perturbation method

H. Saberi Nik, S. Effati, M. Shirazian

Applied Mathematical Modelling > 2012 > 36 > 11 > 5614-5623

In this paper, we give an analytical-approximate solution for the Hamilton–Jacobi–Bellman (HJB) equation arising in optimal control problems using He’s polynomials based on homotopy perturbation method (HPM). Applying the HPM with He’s polynomials, solution procedure becomes easier, simpler and more straightforward. The comparison of the HPM results with the exact solution, Modal series and measure...

article

Comment on “Support vector machine for classification based on fuzzy training data” by A.-B. Ji, J.-H. Pang, H.-J. Qiu [Expert Systems with Applications 37 (2010) 3495–3498]

Y. Forghani, H. Sadoghi Yazdi, S. Effati

Expert Systems With Applications > 2012 > 39 > 8 > 7581-7583

This paper comments on the recently published work dealing with support vector machine for classification based on fuzzy data [Ji, A.-B., Pang, J.-H., & Qiu, H.-J. (2010). Support vector machine for classification based on fuzzy training data. Expert Systems with Applications 37(4), 3495–3498]. The authors have claimed that their proposed program is a classical convex quadratic program. But, we...

article

A highly computational efficient method to solve nonlinear optimal control problems

A. Jajarmi, N. Pariz, A. Vahidian Kamyad, S. Effati

Scientia Iranica > 2012 > 19 > 3 > 759-766

In this paper, a new analytical technique, called the Optimal Homotopy Perturbation Method (OHPM), is suggested to solve a class of nonlinear Optimal Control Problems (OCP’s). Applying the OHPM to a nonlinear OCP, the nonlinear Two-Point Boundary Value Problem (TPBVP), derived from the Pontryagin’s maximum principle, is transformed into a sequence of linear time-invariant TPBVP’s. Solving the latter...

article

An extension to fuzzy support vector data description (FSVDD*)

Y. Forghani, H. Sadoghi Yazdi, S. Effati

Pattern Analysis and Applications > 2012 > 15 > 3 > 237-247

The well-known support vector data description (SVDD) is based on precise description of precise data. When we know the features of training samples precisely and we are uncertain about their class labels, the fuzzy SVDD can be used to obtain the data description. But if the features of training samples are fuzzy numbers, the fuzzy SVDD cannot be utilized. In this paper, we extend the fuzzy SVDD for...

article

A novel recurrent nonlinear neural network for solving quadratic programming problems

S. Effati, M. Ranjbar

Applied Mathematical Modelling > 2011 > 35 > 4 > 1688-1695

This paper presents a new neural network for solving quadratic programming problems. The new model has a simple form, furthermore it has a good convergence rate with a less number calculation operation than the old models. It converges very fast to exact solution of the dual problem and by substituting in a formulation, the optimal solution of the original problem is obtained. Neural network model...

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Search results for: S. Effati

T-operators in hesitant fuzzy sets and their applications to fuzzy rule-based classifier

An artificial neural network for solving quadratic zero-one programming problems

Solving differential equations of fractional order using an optimization technique based on training artificial neural network

Smoothing approach for a class of nonsmooth optimal control problems

New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system

Artificial neural network method for solving the Navier–Stokes equations

Hybrid projective synchronization and control of the Baier–Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters

An approximate method for solving a class of nonlinear optimal control problems

Optimal and adaptive control for a kind of 3D chaotic and 4D hyper-chaotic systems

A new computational approach for solving optimal control of linear PDEs problem

Generalized Euler–Lagrange equation for nonsmooth calculus of variations

Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems

Homotopy perturbation method and He’s polynomials for solving the porous media equation

Hyperchaos control of the hyperchaotic Chen system by optimal control design

Solution of linear optimal control systems by differential transform method

An approximate-analytical solution for the Hamilton–Jacobi–Bellman equation via homotopy perturbation method

Comment on “Support vector machine for classification based on fuzzy training data” by A.-B. Ji, J.-H. Pang, H.-J. Qiu [Expert Systems with Applications 37 (2010) 3495–3498]

A highly computational efficient method to solve nonlinear optimal control problems

An extension to fuzzy support vector data description (FSVDD*)

A novel recurrent nonlinear neural network for solving quadratic programming problems

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