• 제목/요약/키워드: Topological stability

검색결과 34건 처리시간 0.025초

GLOBAL EXPONENTIAL STABILITY OF BAM FUZZY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND IMPULSES

  • Li, Kelin;Zhang, Liping
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.211-225
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    • 2011
  • In this paper, a class of bi-directional associative memory (BAM) fuzzy cellular neural networks with distributed delays and impulses is formulated and investigated. By employing an integro-differential inequality with impulsive initial conditions and the topological degree theory, some sufficient conditions ensuring the existence and global exponential stability of equilibrium point for impulsive BAM fuzzy cellular neural networks with distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the delay kernel functions and system parameters. It is believed that these results are significant and useful for the design and applications of BAM fuzzy cellular neural networks. An example is given to show the effectiveness of the results obtained here.

차량 횡방향 안정성 향상을 위한 모델 참조 제어와 맵기반 제어 방법의 제어 성능 비교 (Control Performance Comparison of Model-referenced and Map-based Control Method for Vehicle Lateral Stability Enhancement)

  • 윤문영;백승환;최정광;부광석;김흥섭
    • 한국정밀공학회지
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    • 제31권3호
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    • pp.253-259
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    • 2014
  • This study proposes a map-based control method to improve a vehicle's lateral stability, and the performance of the proposed method is compared with that of the conventional model-referenced control method. Model-referenced control uses the sliding mode method to determine the compensated yaw moment; in contrast, the proposed map-based control uses the compensated yaw moment map acquired by vehicle stability analysis. The vehicle stability region is calculated by a topological method based on the trajectory reversal method. The performances of model-referenced control and map-based control are compared under various road conditions and driving inputs. Model-referenced control uses a control input to satisfy the linear reference model, and it generates unnecessary tire lateral forces that may lead to worse performance than an uncontrolled vehicle with step steering input on a road with low friction coefficient. The simulation results show that map-based control provides better stability than model-referenced control.

TOPOLOGICALLY STABLE POINTS AND UNIFORM LIMITS

  • Namjip Koo;Hyunhee Lee
    • 대한수학회지
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    • 제60권5호
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    • pp.1043-1055
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    • 2023
  • In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive with the shadowing property and so topologically stable. Furthermore, we give examples to illustrate our results.

방사상 전력계통의 전압안정도 향상을 위한 최적 라우팅 기법에 관한 연구 (A Study on the Optimal Routing Technique for the Improvement of Voltage Stability in Radial Power System)

  • 김병섭;신중린;박종배
    • 대한전기학회논문지:전력기술부문A
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    • 제51권11호
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    • pp.568-576
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    • 2002
  • This paper presents a new algorithm for the enhancement of voltage stability by optimal routing (OR) technique. A new voltage stability index (VSI) for optimal routing is also proposed by using theories of critical transmission path based on voltage phasor approach and equivalent impedance method. Furthermore, the proposed algorithm automatically detect the critical transmission path to critical transmission path to critical load which are faced to voltage collapse due to additional real or reactive loading. We also adopt a improved branch exchange (IBE) algorithm based on a tie branch power (TBP) flow equation to apply the OR technique. The proposed IBE algorithm for the VSI maximizing can effectively search the optimal topological structures of distribution feeders by changing the open/closed states of the sectionalizing and tie switches. The proposed algorithm has been evaluated with the practical IEEE 32, 69 bus test systems and KEPCO 148 bus test system to show favorable performance.

A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION

  • Kang, Jie-Hyung;Lee, Chang-Ju;Lee, Yang-Hi
    • 대한수학회보
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    • 제41권3호
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    • pp.541-557
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    • 2004
  • In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder ${\varphi}$ is defined by (x * y) + (x * $y^{-1}$) - 2 (x) - 2 (y) =<${\varphi}$(x,y), (x*y*z)+ (x)+ (y)+ (z)- (x*y)- (y*z)- (z*x)=${\varphi}$(x, y, z), where (G,*) is a group, X is a real or complex Hausdorff topological vector space, and is a function from G into X.

방사상 전력계통의 전압안정도 향상에 관한 연구 (A Study on the Voltage Stability Enhancement in Radial Power System)

  • 김병섭;정윤원;신중린;박종배;채명석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 A
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    • pp.87-89
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    • 2002
  • This paper presents a new approach using an Improved branch exchange (IBE) technique to maximize the voltage stability as well as loss minimization in radial power systems. A suitable voltage stability index (VSI) for optimal routing algorithm is developed using novel methods both a critical transmission path based on a voltage phasor approach and an equivalent impedance method. Furthermore, the proposed algorithm can automatically detect the critical transmission path to be reached to a critical load faced with voltage collapse due to additional real or reactive leading. To develop an effective optimization technique, we also have applied a branch exchange algorithm based on a newly derived index of loss change. The proposed IBE algorithm for VSI maximization can effectively search the optimal topological structures of distribution feeders by changing the open/closed states of the sectionalizing and tie switches. The proposed algorithm has been tested with the various radial power systems to show its favorable performance.

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Edge-Node Deployed Routing Strategies for Load Balancing in Optical Burst Switched Networks

  • Barradas, Alvaro L.;Medeiros, Maria Do Carmo R.
    • ETRI Journal
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    • 제31권1호
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    • pp.31-41
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    • 2009
  • Optical burst switching is a promising switching paradigm for the next IP-over-optical network backbones. However, its burst loss performance is greatly affected by burst contention. Several methods have been proposed to address this problem, some of them requiring the network to be flooded by frequent state dissemination signaling messages. In this work, we present a traffic engineering approach for path selection with the objective of minimizing contention using only topological information. The main idea is to balance the traffic across the network to reduce congestion without incurring link state dissemination protocol penalties. We propose and evaluate two path selection strategies that clearly outperform shortest path routing. The proposed path selection strategies can be used in combination with other contention resolution methods to achieve higher levels of performance and support the network reaching stability when it is pushed under stringent working conditions. Results show that the network connectivity is an important parameter to consider.

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무한방향흐름기법을 이용한 산사태 위험도 평가 (Estimation of Landslide Risk based on Infinity Flow Direction)

  • 오세욱;이기하;배우석
    • 한국지반환경공학회 논문집
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    • 제20권2호
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    • pp.5-18
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    • 2019
  • 본 연구에서는 경상북도 전체를 대상으로 공간분포형 습윤지수와 뿌리보강무한사면안정해석 이론을 활용한 광역적인 산사태 분석을 실시하였다. 해석을 수행하기 위해 수치지도와 정밀토양도, 임상도 등을 이용하여 지형 지질학적 매개변수를 추출하고 $10m{\times}10m$ 해상도의 공간분포형 데이터베이스를 구축하였으며, 공간분포형 습윤지수를 생성하기 위한 비 집수면적은 무한방향흐름기법을 적용하였다. 광역적인 산사태 위험도 평가를 위한 안전율은 4개 등급으로 구분하여 도시하였다. 위험도 평가결과, 산사태 위험지역은 봉화와 김천 등 실제 최근의 산사태 발생지역과 유사성을 갖는 것으로 나타났으며 특히 산지와 인접한 지역에 unstable 지역이 집중적으로 분포되어 있는 것으로 분석되었다. 또한 산사태 기록과 비교해본 결과, 본 해석모형이 합리적인 매개변수의 축적을 통해 광역적인 산사태 위험성을 평가하는 유효한 방법임을 확인할 수 있다.

Multi-Criteria Topology Design of Truss Structures

  • Yang, Young-Soon;Ruy, Won-Sun
    • Journal of Ship and Ocean Technology
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    • 제5권2호
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    • pp.14-26
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    • 2001
  • This paper presents a novel design approach that could generate structural design alternatives having different topologies and then, select the optimum structure from them with simulataneously determining its optimum design variables related to geometry and the member size subjected to the multiple objective design environments. For this purpose, a specialized genetic algorithm, called StrGA_DeAl + MOGA, which can handle the design alternatives and multi-criteria problems very effectively, is developed for the optimal structural design. To validate the developed method, method, plain truss design problems are considered as illustrative example. To begin with, some possible topological of the truss structure are suggested based on the stability criterion that should be satisfied under the given loading condition. Then, with the consideration of the given multi-criteria, several different topology forms are selected as design alternatives for the second step of the conceptual design process. Based on the chosen topolgy of truss structures, the sizing or shaping optimization process starts to determine the optimum design parameters. Ten-bar truss problems are given in the paper to confirm the above concept and methodology.

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