• Title/Summary/Keyword: delayed system

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PERMANENCE FOR THREE SPECIES PREDATOR-PREY SYSTEM WITH DELAYED STAGE-STRUCTURE AND IMPULSIVE PERTURBATIONS ON PREDATORS

  • Zhang, Shuwen;Tan, Dejun
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1097-1107
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    • 2009
  • In this paper, three species stage-structured predator-prey model with time delayed and periodic constant impulsive perturbations of predator at fixed times is proposed and investigated. We show that the conditions for the global attractivity of prey(pest)-extinction periodic solution and permanence of the system. Our model exhibits a new modelling method which is applied to investigate impulsive delay differential equations. Our results give some reasonable suggestions for pest management.

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Effects of some organophosphate pesticides on the murine immune system following subchronic exposure 2

  • Moon, Chang-Kiu;Yun, Yeo-Pyo;Lee, Soo-Hwan
    • Archives of Pharmacal Research
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    • v.9 no.3
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    • pp.183-187
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    • 1986
  • Some of organophosphate pesticides which are the most heavily used in Korea, were examined for their effects on the murine immune system. Immunotoxicological assay parameters adaopted in this study were Arthus reaction for humoral immunity, delayed type hypersensitivity reaction for cell mediate immunity, carbon clearance for macrophage function and susceptiility to tumor challenge. Subchronic exposure of rodents to the pesticides resulted in the marked suppression of immune functions and enhancement of susceptibility to tumor challenge. Among the pesticides tested (fenitrothion, fenthion, diazinon and EPN), fenitrothion was the most suppressive in Arthus and delayed type hypersensitivity reaction.

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Taps Delayed Lines Architecture Based on Linear Transmit Zero-Forcing Approach for Ultra-Wide Band MIMO Communication Systems

  • Kim, Sang-Choon
    • Journal of information and communication convergence engineering
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    • v.9 no.6
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    • pp.652-656
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    • 2011
  • In this paper, a transmitter-based multipath processing and inter-channel interference (ICI) cancellation scheme for a ultra-wideband (UWB) spatial multiplexing (SM) multiple input multiple output (MIMO) system is presented. It consists of taps delayed lines and zero-forcing (ZF) filters in the transmitter and correlators in the receiver. For a UWB SM MIMO system with N transmit antennas, M receive antennas, and Q resolvable multipath components, the BER performance of a linear transmit ZF scheme is analyzed in a log-normal fading channel and also compared with that of a receiver-based ICI rejection approach. It is found that when M ${\leq}$ N, the transmit ZF processing approach outperforms the ZF receiver while making the mobile units low-cost and low-power.

A Fractional Model Reduction for Linear Systems with State Delay (상태변수 시간지연을 갖는 선형시스템의 분수 모델 축소)

  • Yoo, Seog-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.2
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    • pp.29-36
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    • 2004
  • This paper deals with a fractional model reduction for linear systems with time varying delayed states. A contractive coprime factorization of linear time delayed systems is defined and obtained by solving linear matrix inequalities. Using generalize controllability and observability gramians of tile contractive coprime factor, a balanced state space realization of the system is derived. The reduced model will be obtained by truncating states in the balanced realization and an upper bound of model approximation error is also presented. In order to demonstrate efficacy of the suggested method, a numerical example is illustrated.

Global Periodic Solutions in a Delayed Predator-Prey System with Holling II Functional Response

  • Jiang, Zhichao;Wang, Hongtao;Wang, Hongmei
    • Kyungpook Mathematical Journal
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    • v.50 no.2
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    • pp.255-266
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    • 2010
  • We consider a delayed predator-prey system with Holling II functional response. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey-predator model using the basic theorem on zeros of general transcendental function, which was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifurcations. By using a global Hopf bifurcation result due to Wu, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. Finally, several numerical simulations supporting the theoretical analysis are given.

Mixed $H_2$/$H_{\infty}$ Output Feedback Controller Design for Time-Delayed System (시간지연 시스템에 대한 혼합 $H_2$/$H_{\infty}$ 출력궤환 제어기 설계)

  • 양혜진;김종해;조용철;박흥배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.331-331
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    • 2000
  • This paper presents the mixed $H_2/H_{\infty}$ output feedback controIler design method for linear systems with delayed state. The objective is to design the output feedback controller which minimizes the H$_2$-norm of one transfer function while ensuring the H$_{\infty}$-norm of the other is held below a chosen level. When objective is tormulated in terms of a common Lyapunov function, the sufficient conditions of existence of mixed $H_2/H_{\infty}$ controller are given in terms of LMIs. terms of LMIs.

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Time-Discretization of Nonlinear Systems with Delayed Multi-Input Using Taylor Series

  • Park, Ji-Hyang;Chong, Kil-To;Nikolaos Kazantzis;Alexander G. Parlos
    • Journal of Mechanical Science and Technology
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    • v.18 no.7
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    • pp.1107-1120
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    • 2004
  • This study proposes a new scheme for the sampled-data representation of nonlinear systems with time-delayed multi-input. The proposed scheme is based on the Taylor-series expansion and zero-order hold assumption. The mathematical structure of a new discretization scheme is explored. On the basis of this structure, the sampled-data representation of nonlinear systems including time-delay is derived. The new scheme is applied to nonlinear systems with two inputs and then the delayed multi-input general equation is derived. The resulting time-discretization provides a finite-dimensional representation of nonlinear control systems with time-delay enabling existing controller design techniques to be applied to them. In order to evaluate the tracking performance of the proposed scheme, an algorithm is tested for some of the examples including maneuvering of an automobile and a 2-DOF mechanical system.

Development of transient Monte Carlo in a fissile system with β-delayed emission from individual precursors using modified open source code OpenMC(TD)

  • J. Romero-Barrientos;F. Molina;J.I. Marquez Damian;M. Zambra;P. Aguilera;F. Lopez-Usquiano;S. Parra
    • Nuclear Engineering and Technology
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    • v.55 no.5
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    • pp.1593-1603
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    • 2023
  • In deterministic and Monte Carlo transport codes, b-delayed emission is included using a group structure where all of the precursors are grouped together in 6 groups or families, but given the increase in computational power, nowadays there is no reason to keep this structure. Furthermore, there have been recent efforts to compile and evaluate all the available b-delayed neutron emission data and to measure new and improved data on individual precursors. In order to be able to perform a transient Monte Carlo simulation, data from individual precursors needs to be implemented in a transport code. This work is the first step towards the development of a tool to explore the effect of individual precursors in a fissile system. In concrete, individual precursor data is included by expanding the capabilities of the open source Monte Carlo code OpenMC. In the modified code - named Time Dependent OpenMC or OpenMC(TD)- time dependency related to β-delayed neutron emission was handled by using forced decay of precursors and combing of the particle population. The data for continuous energy neutron cross-sections was taken from JEFF-3.1.1 library. Regarding the data needed to include the individual precursors, cumulative yields were taken from JEFF-3.1.1 and delayed neutron emission probabilities and delayed neutron spectra were taken from ENDF-B/VIII.0. OpenMC(TD) was tested in a monoenergetic system, an energy dependent unmoderated system where the precursors were taken individually or in a group structure, and in a light-water moderated energy dependent system, using 6-groups, 50 and 40 individual precursors. Neutron flux as a function of time was obtained for each of the systems studied. These results show the potential of OpenMC(TD) as a tool to study the impact of individual precursor data on fissile systems, thus motivating further research to simulate more complex fissile systems.

Adaptive Time-delayed Control with Integral Sliding-mode Surface for Fast Convergence Rate of Robot Manipulator (로봇 머니퓰레이터에서의 수렴속도 향상을 위한 적분 슬라이딩 모드 기반 적응 시간 제어 기법)

  • Baek, Jae-Min;Kang, Min-Seok
    • IEMEK Journal of Embedded Systems and Applications
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    • v.16 no.6
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    • pp.307-312
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    • 2021
  • This paper proposes an adaptive time-delayed control approach with the integral sliding-mode surface for the fast convergence rate of robot manipulators. Adaptive switching gain aims to guarantee the system stability in such a way as to suppress time-delayed estimation error in the proposed control approach. Moreover, it makes an effort to increase the convergence ability in reaching the phase. An integral sliding-mode surface is employed to achieve a fast convergence rate in the sliding phase. The stability of the proposed one is proved to be asymptotically stable in the Lyapunov stability. The efficiency of the proposed control approach is illustrated with a tutorial example in robot manipulator, which is compared to that of the existing control approach.

Delayed Dynamics of Prey-Predator System with Distinct Functional Responses

  • Madhusudanan, V.;Vijaya, S.
    • Kyungpook Mathematical Journal
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    • v.57 no.2
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    • pp.265-285
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    • 2017
  • In this article, a mathematical model is proposed and analyzed to study the delayed dynamics of a system having a predator and two preys with distinct growth rates and functional responses. The equilibrium points of proposed system are determined and the local stability at each of the possible equilibrium points is investigated by its corresponding characteristic equation. The boundedness of the system is established in the absence of delay and the condition for existence of persistence in the system is determined. The discrete type gestational delay of predator is also incorporated on the system. Further it is proved that the system undergoes Hopf bifurcation using delay as bifurcation parameter. This study refers that time delay may have an impact on the stability of the system. Finally Computer simulations illustrate the dynamics of the system.