**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1890

# Search results for: Piecewise linear outputs.

##### 1890 Improving the Analytical Power of Dynamic DEA Models, by the Consideration of the Shape of the Distribution of Inputs/Outputs Data: A Linear Piecewise Decomposition Approach

**Authors:**
Elias K. Maragos,
Petros E. Maravelakis

**Abstract:**

In Dynamic Data Envelopment Analysis (DDEA), which is a subfield of Data Envelopment Analysis (DEA), the productivity of Decision Making Units (DMUs) is considered in relation to time. In this case, as it is accepted by the most of the researchers, there are outputs, which are produced by a DMU to be used as inputs in a future time. Those outputs are known as intermediates. The common models, in DDEA, do not take into account the shape of the distribution of those inputs, outputs or intermediates data, assuming that the distribution of the virtual value of them does not deviate from linearity. This weakness causes the limitation of the accuracy of the analytical power of the traditional DDEA models. In this paper, the authors, using the concept of piecewise linear inputs and outputs, propose an extended DDEA model. The proposed model increases the flexibility of the traditional DDEA models and improves the measurement of the dynamic performance of DMUs.

**Keywords:**
Data envelopment analysis,
Dynamic DEA,
Piecewise linear inputs,
Piecewise linear outputs.

##### 1889 Algorithms for the Fast Computation of PWL and PHL Transforms

**Authors:**
Fituri H Belgassem,
Abdulbasit Nigrat,
Seddeeq Ghrari

**Abstract:**

In this paper, the construction of fast algorithms for the computation of Periodic Walsh Piecewise-Linear PWL transform and the Periodic Haar Piecewise-Linear PHL transform will be presented. Algorithms for the computation of the inverse transforms are also proposed. The matrix equation of the PWL and PHL transforms are introduced. Comparison of the computational requirements for the periodic piecewise-linear transforms and other orthogonal transforms shows that the periodic piecewise-linear transforms require less number of operations than some orthogonal transforms such as the Fourier, Walsh and the Discrete Cosine transforms.

**Keywords:**
Piece wise linear transforms,
Fast transforms,
Fast algorithms.

##### 1888 Segmentation of Piecewise Polynomial Regression Model by Using Reversible Jump MCMC Algorithm

**Authors:**
Suparman

**Abstract:**

Piecewise polynomial regression model is very flexible model for modeling the data. If the piecewise polynomial regression model is matched against the data, its parameters are not generally known. This paper studies the parameter estimation problem of piecewise polynomial regression model. The method which is used to estimate the parameters of the piecewise polynomial regression model is Bayesian method. Unfortunately, the Bayes estimator cannot be found analytically. Reversible jump MCMC algorithm is proposed to solve this problem. Reversible jump MCMC algorithm generates the Markov chain that converges to the limit distribution of the posterior distribution of piecewise polynomial regression model parameter. The resulting Markov chain is used to calculate the Bayes estimator for the parameters of piecewise polynomial regression model.

**Keywords:**
Piecewise,
Bayesian,
reversible jump MCMC,
segmentation.

##### 1887 New Stabilization for Switched Neutral Systems with Perturbations

**Authors:**
Lianglin Xiong,
Shouming Zhong,
Mao Ye

**Abstract:**

This paper addresses the stabilization issues for a class of uncertain switched neutral systems with nonlinear perturbations. Based on new classes of piecewise Lyapunov functionals, the stability assumption on all the main operators or the convex combination of coefficient matrices is avoid, and a new switching rule is introduced to stabilize the neutral systems. The switching rule is designed from the solution of the so-called Lyapunov-Metzler linear matrix inequalities. Finally, three simulation examples are given to demonstrate the significant improvements over the existing results.

**Keywords:**
Switched neutral system,
piecewise Lyapunov functional,
nonlinear perturbation,
Lyapunov-Metzler linear matrix inequality.

##### 1886 Automated Segmentation of ECG Signals using Piecewise Derivative Dynamic Time Warping

**Authors:**
Ali Zifan,
Mohammad Hassan Moradi,
Sohrab Saberi,
Farzad Towhidkhah

**Abstract:**

**Keywords:**
Adaptive Piecewise Constant Approximation,
Dynamic programming,
ECG segmentation,
Piecewise DerivativeDynamic Time Warping.

##### 1885 Automated ECG Segmentation Using Piecewise Derivative Dynamic Time Warping

**Authors:**
Ali Zifan,
Sohrab Saberi,
Mohammad Hassan Moradi,
Farzad Towhidkhah

**Abstract:**

Electrocardiogram (ECG) segmentation is necessary to help reduce the time consuming task of manually annotating ECG's. Several algorithms have been developed to segment the ECG automatically. We first review several of such methods, and then present a new single lead segmentation method based on Adaptive piecewise constant approximation (APCA) and Piecewise derivative dynamic time warping (PDDTW). The results are tested on the QT database. We compared our results to Laguna's two lead method. Our proposed approach has a comparable mean error, but yields a slightly higher standard deviation than Laguna's method.

**Keywords:**
Adaptive Piecewise Constant Approximation,
Dynamic programming,
ECG segmentation,
Piecewise Derivative Dynamic Time Warping.

##### 1884 Analysis of Partially Shaded PV Modules Using Piecewise Linear Parallel Branches Model

**Authors:**
Yaw-Juen Wang,
Po-Chun Hsu

**Abstract:**

This paper presents an equivalent circuit model based on piecewise linear parallel branches (PLPB) to study solar cell modules which are partially shaded. The PLPB model can easily be used in circuit simulation software such as the ElectroMagnetic Transients Program (EMTP). This PLPB model allows the user to simulate several different configurations of solar cells, the influence of partial shadowing on a single or multiple cells, the influence of the number of solar cells protected by a bypass diode and the effect of the cell connection configuration on partial shadowing.

**Keywords:**
Cell Connection Configurations,
EMTP,
Equivalent Circuit,
Partial Shading,
Photovoltaic Module

##### 1883 A Method for Identifying Physical Parameters with Linear Fractional Transformation

**Authors:**
Ryosuke Ito,
Goro Obinata,
Chikara Nagai,
Youngwoo Kim

**Abstract:**

**Keywords:**
Identification,
Linear Fractional Transformation,
Right inverse system

##### 1882 Investigation of a Transition from Steady Convection to Chaos in Porous Media Using Piecewise Variational Iteration Method

**Authors:**
Mohamed M. Mousa,
Aidarkhan Kaltayev Shahwar F. Ragab

**Abstract:**

In this paper, a new dependable algorithm based on an adaptation of the standard variational iteration method (VIM) is used for analyzing the transition from steady convection to chaos for lowto-intermediate Rayleigh numbers convection in porous media. The solution trajectories show the transition from steady convection to chaos that occurs at a slightly subcritical value of Rayleigh number, the critical value being associated with the loss of linear stability of the steady convection solution. The VIM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the considered model and other dynamical systems. We shall call this technique as the piecewise VIM. Numerical comparisons between the piecewise VIM and the classical fourth-order Runge–Kutta (RK4) numerical solutions reveal that the proposed technique is a promising tool for the nonlinear chaotic and nonchaotic systems.

**Keywords:**
Variational iteration method,
free convection,
Chaos,
Lorenz equations.

##### 1881 Piecewise Interpolation Filter for Effective Processing of Large Signal Sets

**Authors:**
Anatoli Torokhti,
Stanley Miklavcic

**Abstract:**

**Keywords:**
Wiener filter,
filtering of stochastic signals.

##### 1880 Fast Segmentation for the Piecewise Smooth Mumford-Shah Functional

**Authors:**
Yingjie Zhang

**Abstract:**

**Keywords:**
Active contours,
energy minimization,
image
segmentation,
level sets.

##### 1879 Linear Programming Application in Unit Commitment of Wind Farms with Considering Uncertainties

**Authors:**
M. Esmaeeli Shahrakht,
A. Kazemi

**Abstract:**

Due to uncertainty of wind velocity, wind power generators don’t have deterministic output power. Utilizing wind power generation and thermal power plants together create new concerns for operation engineers of power systems. In this paper, a model is presented to implement the uncertainty of load and generated wind power which can be utilized in power system operation planning. Stochastic behavior of parameters is simulated by generating scenarios that can be solved by deterministic method. A mixed-integer linear programming method is used for solving deterministic generation scheduling problem. The proposed approach is applied to a 12-unit test system including 10 thermal units and 2 wind farms. The results show affectivity of piecewise linear model in unit commitment problems. Also using linear programming causes a considerable reduction in calculation times and guarantees convergence to the global optimum. Neglecting the uncertainty of wind velocity causes higher cost assessment of generation scheduling.

**Keywords:**
Load uncertainty,
linear programming,
scenario generation,
unit commitment,
wind farm.

##### 1878 Cubic Trigonometric B-Spline Applied to Linear Two-Point Boundary Value Problems of Order Two

**Authors:**
Nur Nadiah Abd Hamid ,
Ahmad Abd. Majid,
Ahmad Izani Md. Ismail

**Abstract:**

**Keywords:**
trigonometric B-spline,
two-point boundary valueproblem,
spline interpolation,
cubic spline

##### 1877 Orthogonal Regression for Nonparametric Estimation of Errors-in-Variables Models

**Authors:**
Anastasiia Yu. Timofeeva

**Abstract:**

Two new algorithms for nonparametric estimation of errors-in-variables models are proposed. The first algorithm is based on penalized regression spline. The spline is represented as a piecewise-linear function and for each linear portion orthogonal regression is estimated. This algorithm is iterative. The second algorithm involves locally weighted regression estimation. When the independent variable is measured with error such estimation is a complex nonlinear optimization problem. The simulation results have shown the advantage of the second algorithm under the assumption that true smoothing parameters values are known. Nevertheless the use of some indexes of fit to smoothing parameters selection gives the similar results and has an oversmoothing effect.

**Keywords:**
Grade point average,
orthogonal regression,
penalized regression spline,
locally weighted regression.

##### 1876 Stabilization of a Three-Pole Active Magnetic Bearing by Hybrid Control Method in Static Mode

**Authors:**
Mahdi Kiani,
Hassan Salarieh,
Aria Alasty,
S. Mahdi Darbandi

**Abstract:**

**Keywords:**
Active magnetic bearing,
three pole AMB,
hybrid control,
Lyapunov function.

##### 1875 A Comparison of the Sum of Squares in Linear and Partial Linear Regression Models

**Authors:**
Dursun Aydın

**Abstract:**

**Keywords:**
Partial Linear Regression Model,
Linear RegressionModel,
Residuals,
Deviance,
Smoothing Spline.

##### 1874 Motion Parameter Estimation via Dopplerlet-Transform-Based Matched Field Processing

**Authors:**
Hongyan Dai

**Abstract:**

**Keywords:**
matched field processing; Dopplerlet transform; motion parameter estimation; piecewise strategy

##### 1873 The Performance Improvement of the Target Position Determining System in Laser Tracking Based on 4Q Detector using Neural Network

**Authors:**
A. Salmanpour,
Sh. Mohammad Nejad

**Abstract:**

**Keywords:**
four quadrant detector,
laser tracking system,
rangefinder,
tracking sensor

##### 1872 Choice Experiment Approach on Evaluation of Non-Market Farming System Outputs: First Results from Lithuanian Case Study

**Authors:**
A. Novikova,
L. Rocchi,
G. Startiene

**Abstract:**

Market and non-market outputs are produced jointly in agriculture. Their supply depends on the intensity and type of production. The role of agriculture as an economic activity and its effects are important for the Lithuanian case study, as agricultural land covers more than a half of country. Positive and negative externalities, created in agriculture are not considered in the market. Therefore, specific techniques such as stated preferences methods, in particular choice experiments (CE) are used for evaluation of non-market outputs in agriculture. The main aim of this paper is to present construction of the research path for evaluation of non-market farming system outputs in Lithuania. The conventional and organic farming, covering crops (including both cereal and industrial crops) and livestock (including dairy and cattle) production has been selected. The CE method and nested logit (NL) model were selected as appropriate for evaluation of non-market outputs of different farming systems in Lithuania. A pilot survey was implemented between October–November 2018, in order to test and improve the CE questionnaire. The results of the survey showed that the questionnaire is accepted and well understood by the respondents. The econometric modelling showed that the selected NL model could be used for the main survey. The understanding of the differences between organic and conventional farming by residents was identified. It was revealed that they are more willing to choose organic farming in comparison to conventional farming.

**Keywords:**
Choice experiments,
farming system,
Lithuania market outputs,
non-market outputs.

##### 1871 Simplex Method for Fuzzy Variable Linear Programming Problems

**Authors:**
S.H. Nasseri,
E. Ardil

**Abstract:**

Fuzzy linear programming is an application of fuzzy set theory in linear decision making problems and most of these problems are related to linear programming with fuzzy variables. A convenient method for solving these problems is based on using of auxiliary problem. In this paper a new method for solving fuzzy variable linear programming problems directly using linear ranking functions is proposed. This method uses simplex tableau which is used for solving linear programming problems in crisp environment before.

**Keywords:**
Fuzzy variable linear programming,
fuzzy number,
ranking function,
simplex method.

##### 1870 Broadcasting Stabilization for Dynamical Multi-Agent Systems

**Authors:**
Myung-Gon Yoon,
Jung-Ho Moon,
Tae Kwon Ha

**Abstract:**

This paper deals with a stabilization problem for multi-agent systems, when all agents in a multi-agent system receive the same broadcasting control signal and the controller can measure not each agent output but the sum of all agent outputs. It is analytically shown that when the sum of all agent outputs is bounded with a certain broadcasting controller for a given reference, each agent output is separately bounded: stabilization of the sum of agent outputs always results in the stability of every agent output. A numerical example is presented to illustrate our theoretic findings in this paper.

**Keywords:**
Broadcasting Control,
Multi-agent System,
Transfer
Function

##### 1869 A Reconfigurable Microstrip Patch Antenna with Polyphase Filter for Polarization Diversity and Cross Polarization Filtering Operation

**Authors:**
Lakhdar Zaid,
Albane Sangiovanni

**Abstract:**

A reconfigurable microstrip patch antenna with polyphase filter for polarization diversity and cross polarization filtering operation is presented in this paper. In our approach, a polyphase filter is used to obtain the four 90° phase shift outputs to feed a square microstrip patch antenna. The antenna can be switched between four states of polarization in transmission as well as in receiving mode. Switches are interconnected with the polyphase filter network to produce left-hand circular polarization, right-hand circular polarization, horizontal linear polarization, and vertical linear polarization. Additional advantage of using polyphase filter is its filtering capability for cross polarization filtering in right-hand circular polarization and left-hand circular polarization operation. The theoretical and simulated results demonstrated that polyphase filter is a good candidate to drive microstrip patch antenna to accomplish polarization diversity and cross polarization filtering operation.

**Keywords:**
Microstrip patch antenna,
polyphase filter,
circular polarization,
linear polarization,
reconfigurable antenna.

##### 1868 Bi-linear Complementarity Problem

**Authors:**
Chao Wang,
Ting-Zhu Huang Chen Jia

**Abstract:**

In this paper, we propose a new linear complementarity problem named as bi-linear complementarity problem (BLCP) and the method for solving BLCP. In addition, the algorithm for error estimation of BLCP is also given. Numerical experiments show that the algorithm is efficient.

**Keywords:**
Bi-linear complementarity problem,
Linear complementarity
problem,
Extended linear complementarity problem,
Error
estimation,
P-matrix,
M-matrix.

##### 1867 Some Remarkable Properties of a Hopfield Neural Network with Time Delay

**Authors:**
Kelvin Rozier,
Vladimir E. Bondarenko

**Abstract:**

**Keywords:**
Chaos,
Hopfield neural network,
noise,
synchronization

##### 1866 Optimal Control Problem, Quasi-Assignment Problem and Genetic Algorithm

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

**Abstract:**

**Keywords:**
Optimal control,
Integer programming,
Genetic algorithm,
Discrete approximation,
Linear programming.

##### 1865 Calculation of the Thermal Stresses in an Elastoplastic Plate Heated by Local Heat Source

**Authors:**
M. Khaing,
A. V. Tkacheva

**Abstract:**

**Keywords:**
Temperature stresses,
elasticity,
plasticity,
Ishlinsky-Ivlev condition,
plate,
annular heating,
elastic moduli.

##### 1864 Two-dimensional Differential Transform Method for Solving Linear and Non-linear Goursat Problem

**Authors:**
H. Taghvafard,
G. H. Erjaee

**Abstract:**

**Keywords:**
Quadrature,
Spline interpolation,
Trapezoidal rule,
Numericalintegration,
Error analysis.

##### 1863 Modified Buck Boost Circuit for Linear and Non-Linear Piezoelectric Energy Harvesting

**Authors:**
I Made Darmayuda,
Chai Tshun Chuan Kevin,
Je Minkyu

**Abstract:**

Plenty researches have reported techniques to harvest energy from piezoelectric transducer. In the earlier years, the researches mainly report linear energy harvesting techniques whereby interface circuitry is designed to have input impedance that match with the impedance of the piezoelectric transducer. In recent years non-linear techniques become more popular. The non-linear technique employs voltage waveform manipulation to boost the available-for-extraction energy at the time of energy transfer. The fact that non-linear energy extraction provides larger available-for-extraction energy doesn’t mean the linear energy extraction is completely obsolete. In some scenarios, such as where initial power is not available, linear energy extraction is still preferred. A modified Buck Boost circuit which is capable of harvesting piezoelectric energy using both linear and non-linear techniques is reported in this paper. Efficiency of at least 64% can be achieved using this circuit. For linear extraction, the modified Buck Boost circuit is controlled using a fix frequency and duty cycle clock. A voltage sensor and a pulse generator are added as the controller for the non-linear extraction technique.

**Keywords:**
Buck boost,
energy harvester,
linear energy harvester,
non-linear energy harvester,
piezoelectric,
synchronized charge extraction.

##### 1862 The Relative Efficiency of Parameter Estimation in Linear Weighted Regression

**Authors:**
Baoguang Tian,
Nan Chen

**Abstract:**

A new relative efficiency in linear model in reference is instructed into the linear weighted regression, and its upper and lower bound are proposed. In the linear weighted regression model, for the best linear unbiased estimation of mean matrix respect to the least-squares estimation, two new relative efficiencies are given, and their upper and lower bounds are also studied.

**Keywords:**
Linear weighted regression,
Relative efficiency,
Mean matrix,
Trace.

##### 1861 Leader-following Consensus Criterion for Multi-agent Systems with Probabilistic Self-delay

**Authors:**
M.J. Park,
K.H. Kim,
O.M. Kwon

**Abstract:**

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical example showed that the proposed method is effective.

**Keywords:**
Multi-agent systems,
probabilistic self-delay,
consensus,
Lyapunov method,
LMI.