• Title/Summary/Keyword: comparison differential system

Search Result 162, Processing Time 0.028 seconds

Permanence of a Three-species Food Chain System with Impulsive Perturbations

  • Baek, Hunki;Lee, Hung-Hwan
    • Kyungpook Mathematical Journal
    • /
    • v.48 no.3
    • /
    • pp.503-514
    • /
    • 2008
  • We investigate a three-species food chain system with Lotka-Volterra functional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.

Permanence of an impulsive food web system with Holling-type II functional responses

  • Baek, Hun-Ki;Park, Jun-Pyo;Do, Young-Hae
    • Journal of the Korean Data and Information Science Society
    • /
    • v.20 no.1
    • /
    • pp.211-217
    • /
    • 2009
  • In this paper, we are studying the property for permanence of a three species food chain system with impulsive perturbations and Holling type II functional response, species which is important concept or property in ecological systems. Specially, we give the conditions for the permanence of this system. To do it, we consider the comparison method which is typical skill happened in impulsive differential inequalities. In addition, we reaffirm our results by using a numerical example.

  • PDF

Wave propagation of a functionally graded beam in thermal environments

  • Akbas, Seref Doguscan
    • Steel and Composite Structures
    • /
    • v.19 no.6
    • /
    • pp.1421-1447
    • /
    • 2015
  • In this paper, the effect of material-temperature dependent on the wave propagation of a cantilever beam composed of functionally graded material (FGM) under the effect of an impact force is investigated. The beam is excited by a transverse triangular force impulse modulated by a harmonic motion. Material properties of the beam are temperature-dependent and change in the thickness direction. The Kelvin-Voigt model for the material of the beam is used. The considered problem is investigated within the Euler-Bernoulli beam theory by using energy based finite element method. The system of equations of motion is derived by using Lagrange's equations. The obtained system of linear differential equations is reduced to a linear algebraic equation system and solved in the time domain and frequency domain by using Newmark average acceleration method. In order to establish the accuracy of the present formulation and results, the comparison study is performed with the published results available in the literature. Good agreement is observed. In the study, the effects of material distributions and temperature rising on the wave propagation of the FGM beam are investigated in detail.

A Study on Control of Mobile Cranes (이동 CRANE의 제어에 관한 연구)

  • Kim, Sang-Bong;Shin, Min-Saeng;Kim, Hwan-Seong;Jeong, Yong-Gil
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.8 no.2
    • /
    • pp.47-56
    • /
    • 1991
  • The specifications needed for the mobile cranes are summarized as the following : 1) there may be not occured the oscillation of the cargo at unloading point. 2)the required time from departure point to destination point may be as short as possible. 3) there may be not a collapse of cargo caused by the oscillation in the course that the crago is mobilling. In this paper, the linear fractional transformation method is adopted as a method in order to improve the above mentioned problems. A design method of servo system is developed by modifying Davison's method for the case that the homogeneous differential equations of reference input and disturbance are different types. The real time control of a mobile crane system is implemented by 16bits microcomputer with A/D and D/A converters to illustrate the application of the adopted method. The experimental results for the three types of the design methods; linear fractional transformation method, servo system design method and optimal control method are shown for the comparison.

  • PDF

A Study on the Prediction Model Considering the Multicollinearity of Independent Variables in the Seawater Reverse Osmosis (역삼투압 해수담수화(SWRO) 플랜트에서 독립변수의 다중공선성을 고려한 예측모델에 관한 연구)

  • Han, In sup;Yoon, Yeon-Ah;Chang, Tai-Woo;Kim, Yong Soo
    • Journal of Korean Society for Quality Management
    • /
    • v.48 no.1
    • /
    • pp.171-186
    • /
    • 2020
  • Purpose: The purpose of this study is conducting of predictive models that considered multicollinearity of independent variables in order to carry out more efficient and reliable predictions about differential pressure in seawater reverse osmosis. Methods: The main variables of each RO system are extracted through factor analysis. Common variables are derived through comparison of RO system # 1 and RO system # 2. In order to carry out the prediction modeling about the differential pressure, which is the target variable, we constructed the prediction model reflecting the regression analysis, the artificial neural network, and the support vector machine in R package, and figured out the superiority of the model by comparing RMSE. Results: The number of factors extracted from factor analysis of RO system #1 and RO system #2 is same. And the value of variability(% Var) increased as step proceeds according to the analysis procedure. As a result of deriving the average RMSE of the models, the overall prediction of the SVM was superior to the other models. Conclusion: This study is meaningful in that it has been conducting a demonstration study of considering the multicollinearity of independent variables. Before establishing a predictive model for a target variable, it would be more accurate predictive model if the relevant variables are derived and reflected.

Design of Uplink Initial Ranging Algorithm for Large-Cell Coverage Fixed Wireless Communication System (광범위 고정형 무선 통신 시스템을 위한 상향 링크 초기 레인징 기법 설계)

  • Lee, Kyung-Hoon;Hwang, Won-Jun;Choi, Hyung-Jin
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.37 no.7A
    • /
    • pp.569-580
    • /
    • 2012
  • In this paper, an enhanced initial ranging algorithm for large-cell coverage fixed wireless communication system is proposed. In typical wireless communication system such as WiBro, because a round-trip delay between a transmitter and a receiver is within one OFDM (Orthogonal Frequency Division Multiplexing) symbol duration, a frequency-domain differential correlation method is generally used. However, the conventional method cannot be applied due to an increase of a maximum time delay in large-cell system. In case of an accumulative differential method, estimation errors can occur because of frequent sign transitions. In this paper, therefore, we propose an algorithm which can estimate a total timing offset in a ranging channel structure for 15 km cell. The proposed method can improve performance by sign comparison based sign error correction rule between the estimated values and using a weighting scheme based on channel correlation, the number of accumulations, and the noise reduction effect in normalization process. Also, it can estimate the integer timing offset of symbol duration by comparing peak-powers after compensating for the fractional timing offset of symbol duration.

Electrically Enhanced Readout System for a High-Frequency CMOS-MEMS Resonator

  • Uranga, Arantxa;Verd, Jaume;Lopez, Joan Lluis;Teva, Jordi;Torres, Francesc;Giner, Joan Josep;Murillo, Gonzalo;Abadal, Gabriel;Barniol, Nuria
    • ETRI Journal
    • /
    • v.31 no.4
    • /
    • pp.478-480
    • /
    • 2009
  • The design of a CMOS clamped-clamped beam resonator along with a full custom integrated differential amplifier, monolithically fabricated with a commercial 0.35 ${\mu}m$ CMOS technology, is presented. The implemented amplifier, which minimizes the negative effect of the parasitic capacitance, enhances the electrical MEMS characterization, obtaining a $48{\times}10^8$ resonant frequency-quality factor product ($Q{\times}f_{res}$) in air conditions, which is quite competitive in comparison with existing CMOS-MEMS resonators.

The Influence of Aerosol Source Region on Size-resolved Hygroscopicity During the Asian Pacific Regional Aerosol Characterization Experiment (ACE-Asia) Campaign

  • Lee, Yong-Seob
    • Journal of Korean Society for Atmospheric Environment
    • /
    • v.22 no.E1
    • /
    • pp.9-18
    • /
    • 2006
  • Aerosol hygroscopic properties were measured by a tandem differential mobility analyzer (TDMA) system during the Aerosol Characterization Experiment (ACE)-Asia campaign from 31 March to 1 May 2001. Two high flow differential mobility analyzers (DMAs) were used to maximize the count rate on board the Center for Interdisciplinary Remotely Piloted Aircraft (CIRPAS) Twin Otter aircraft. Hygroscopic growth factor distributions of particles having initial dry nanoparticle diameters of 0.040, 0.059, 0.086, 0.126, 0.186, 0.273, 0.400, and $0.586{\mu}m$ were measured during 19 research flights. Data collected during 12 of those flights were used to investigate aerosol mixing state and the influence of aerosol source region on size-resolved hygroscopicity. The uniformity in size-resolved hygroscopicity was quantified to facilitate comparison between measurements made in different air masses. Hygroscopic growth factors are strongly dependent on source region and sizes. Mean hygroscopic growth factors were observed to be greatest when the air mass origin was from the south. The mean growth factors for continental sources decreased with initial size from 1.47 to 1.27 for $0.040{\mu}m\;and\;0.586{\mu}m$, but increased with initial size from 1.44 to 1.8 for $0.040{\mu}m\;and\;0.400{\mu}m$ dry diameters for marine sources.

Nonlinear vibration analysis of the viscoelastic composite nanoplate with three directionally imperfect porous FG core

  • Mohammadia, M.;Rastgoo, A.
    • Structural Engineering and Mechanics
    • /
    • v.69 no.2
    • /
    • pp.131-143
    • /
    • 2019
  • In this study, the nonlinear vibration analysis of the composite nanoplate is studied. The composite nanoplate is fabricated by the functional graded (FG) core and lipid face sheets. The material properties in the FG core vary in three directions. The Kelvin-Voigt model is used to study the viscoelastic effect of the lipid layers. By using the Von-Karman assumptions, the nonlinear differential equation of the vibration analysis of the composite nanoplate is obtained. The foundation of the system is modeled by the nonlinear Pasternak foundation. The Bubnov-Galerkin method and the multiple scale method are used to solve the nonlinear differential equation of the composite nanoplate. The free and force vibration analysis of the composite nanoplate are studied. A comparison between the presented results and the reported results is done and good achievement is obtained. The reported results are verified by the results which are obtained by the Runge-Kutta method. The effects of different parameters on the nonlinear vibration frequencies, the primary, the super harmonic and subharmonic resonance cases are investigated. This work will be useful to design the nanosensors with high biocompatibility.

On the Comparison of MTF in Sub-Band Coding Technique Employing the Human Visual System (인간의 시각특성을 고려한 Sub-Band 부호화에서 MRF 비교에 관한 연구)

  • 김용관;박섭형;이상욱
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.27 no.5
    • /
    • pp.784-792
    • /
    • 1990
  • In this paper, attempts have been made to compare the subjective performance of sub-band coding (SBC) techniques incorporating four representative modulation transfer functions (MTF's) of th human visual system(HVS): Sakrison, Nill, Ngan, and Rao. In SBC, the frequency band of input signal is split into 16 equal sub-bands. In addition, 28 sub-band splitting schemd which splits more sub-bands in low spatial frequency is considered to compare the 4 MTF's effectively. In encoding of each sub-band, the weight of each sub-band obtained from the MTF of HVS is applied to bit allocation process which minimize the weighted mean square error (WMSE). The differential pulse code modulation(DPCM) coder is used to encode the lowest sub-band and the pulse code modulation(PCM) coder is used for the rest of sub-bands. It is found that the images incorporating the MTF of Rao yields the best results in subjective criteria, followed by Ngan, Nill, Sakrison, and the images not employing the HVS.

  • PDF