• Title/Summary/Keyword: Global stability

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A BIO-ECONOMIC MODEL OF TWO-PREY ONE-PREDATOR SYSTEM

  • Kar, T.K.;Chattopadhyay, S.K.;Pati, Chandan Kr.
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1411-1427
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    • 2009
  • We propose a model based on Lotka-Volterra dynamics with two competing spices which are affected not only by harvesting but also by the presence of a predator, the third species. Hyperbolic and linear response functions are considered. We derive the conditions for global stability of the system using Lyapunov function. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin's maximal principle. Finally, some numerical examples are discussed. The nature of variations in the two prey species and one predator species is studied extensively through graphical illustrations.

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PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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A Study on Buckling Characteristics of Arch-type Vinyl House Structures according to Analytical Precision (아치형 비닐하우스 구조의 해석정밀도에 따른 좌굴특성 연구)

  • Yoon, Seok-Ho
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.4
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    • pp.57-64
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    • 2015
  • The construction of vinyl greenhouses are increasing because of economic feasibility, construction period, and construction regulations. However, the vinyl greenhouses are apt to collapse by snow load since they have a small member as a temporary structure. The 3 types of buckling such as global, member and nodal buckling could be occurred to arched structures according to characteristics of cross section. To examine the member buckling, the precision of analysis need to be enhanced. In that case, we can examine the characteristics of the those buckling. The purposes of this study are to verify buckling characteristics of structures using the method of high precision analysis with a center node of member. The results of high precision analysis bring member buckling, and in the analysis method having the center node of member, the value of strength is getting lower than a previous study.

Design and Algorithm Verification of Precision Navigation System (정밀항법 시스템 설계 및 알고리즘 검증)

  • Jeong, Seongkyun;Kim, Taehee;Lee, Jae-Eun;Lee, Sanguk
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.21 no.1
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    • pp.8-14
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    • 2013
  • As GNSS(Global Navigation Satellite System) is used in various filed, many countries establish GNSS system independently. But GNSS system has the limitation of accuracy and stability in stand-alone mode, because this system has error elements which are ionospheric delay, tropospheric delay, orbit ephemeris error, satellite clock error, and etc. For overcome of accuracy limitation, the DGPS(Differential GPS) and RTK(Real-Time Kinematic) systems are proposed. These systems perform relative positioning using the reference and user receivers. ETRI(Electronics and Telecommunications Research Institute) is developing precision navigation system in point of extension of GNSS usage. The precision navigation system is for providing the precision navigation solution to common users. If this technology is developed, GNSS system can be used in the fields which require precision positioning and control. In this paper, we introduce the precision navigation system and perform design and algorithm verification.

A Hybrid Genetic Ant Colony Optimization Algorithm with an Embedded Cloud Model for Continuous Optimization

  • Wang, Peng;Bai, Jiyun;Meng, Jun
    • Journal of Information Processing Systems
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    • v.16 no.5
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    • pp.1169-1182
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    • 2020
  • The ant colony optimization (ACO) algorithm is a classical metaheuristic optimization algorithm. However, the conventional ACO was liable to trap in the local minimum and has an inherent slow rate of convergence. In this work, we propose a novel combinatorial ACO algorithm (CG-ACO) to alleviate these limitations. The genetic algorithm and the cloud model were embedded into the ACO to find better initial solutions and the optimal parameters. In the experiment section, we compared CG-ACO with the state-of-the-art methods and discussed the parameter stability of CG-ACO. The experiment results showed that the CG-ACO achieved better performance than ACOR, simple genetic algorithm (SGA), CQPSO and CAFSA and was more likely to reach the global optimal solution.

A Robust Controller Design for Robot Manipulators with Hydraulic Actuator Dynamics (유압구동기를 채용한 로봇 매니플레이터에 대한 강인제어기 설계)

  • Park, Gwang-Seok;Hwang, Dong-Hwan
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.598-600
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    • 1998
  • In this paper, a robust controller is proposed to achieve the accurate tracking for uncertain robot manipulators with hydraulic actuator dynamics. The parameter uncertainty can be quantified by the linear parameterization technique. A switching controller is proposed to guarantee the global asymptotic stability of the plant. In order to eliminate the chattering caused by the switching controller, a smoothing controller is proposed using the boundary layer technique around the sliding surface. It is shown that the smoothing controller guarantees the uniform ultimate boundedness of the tracking, error. The proposed controller shows good better tracking performance.

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The Fuzzy Model-Based-Controller for the Control of SISO Nonlinear System (SISO 비선형 시스템의 제어를 위한 퍼지 모델 기반 제어기)

  • Chang, Wook;Kwon, Ok-Kook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.528-530
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    • 1998
  • This paper addresses analysis and design of a fuzzy model-based-controller for the control of uncertain SISO nonlinear systems. In the design procedure, we represent the nonlinear system by using a Takagi-Sugeno fuzzy model and construct a global fuzzy logic controller via parallel distributed compensation and sliding mode control. Unlike other parallel distributed controllers. this globally stable fuzzy controller is designed without finding a common positive definite matrix for a set of Lyapunov equations, and has good tracking performance. Furthermore, stability analysis is conducted not for the fuzzy model but for the real underlying nonlinear system. A simulation is included for the control of the Duffing forced-oscillation system, to show the effectiveness and feasibility of the proposed fuzzy control method.

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A Study on the Collective Control for the MAGLEV (자기부상열차의 이산집중제어)

  • Im, D.H.;Hong, J.P.;Kwon, B.I.;Hur, J.;Jang, S.M.
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.177-179
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    • 1994
  • In conventional maglev system, the individual control system has been adopted. When this control system is applied, it is able to degrade the stability of levitation because of the interferance between magnet. And so, it is desiarable to be controled in global, collective control. In doing so, the dynamic suspension characteristics is improved. In this paper, collective control system using the equivalent inertia is examined and the dynamic characteristic are compared with that of individual control system.

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T-S Fuzzy Model Based Robust Indirect Adaptive State Feedback Control of Flexible Joint Manipulators

  • Hyun, Chang-Ho;Park, Chang-Woo;Park, Mignon
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1471-1474
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    • 2002
  • In this paper, we propose a robust indirect adaptive fuzzy state feedback regulator based on Takagi-Sugeno fuzzy model. The proposed adaptive fuzzy regulator is less sensitive to singularity than the conventional one based on the feedback linearization method. Furthermore, the proposed control method is applicable to not only plants with a perfect model but also plants with an imperfect model, which causes uncertainties. We verify the global stability of the proposed method by using Lyapunov method. In order to support the achievement, the application of the proposed adaptive fuzzy regulator to the control of a nonlinear system under the external disturbance is presented and the performance was verified by some simulation result.

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A Study on the Characteristics of Deep Ocean Water Resource of the East Sea and Its Utilization (동해심층수의 자원성 해석 및 활용 방향 연구)

  • Kim H.J.;Jung D.H.;Moon D.S.;Shin P.K.
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.11a
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    • pp.17-22
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    • 2004
  • Recently, deep ocean water (DOW), which is plentiful in the East sea, has been recognized a global resources for 21st century. To clarify the characteristics of DOW of the East Sea, the quality of DOW has been investigated and analyzed for 5 years in situ and laboratory in the viewpoints of stability of low-temperature, mineral balance, rich nutrition and cleanness. And it characteristics were compared with foreign DOW used for commercial applications. This study do finally suggest the various utilization methods of DOW based on each characteristics and suitable examples for fisheries and industrial purpose.

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