• 제목/요약/키워드: Stability map

검색결과 233건 처리시간 0.03초

PERSISTENCE AND POINTWISE TOPOLOGICAL STABILITY FOR CONTINUOUS MAPS OF TOPOLOGICAL SPACES

  • Shuzhen Hua;Jiandong Yin
    • 대한수학회보
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    • 제61권4호
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    • pp.1137-1159
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    • 2024
  • In the paper, we prove that if a continuous map of a compact uniform space is equicontinuous and pointwise topologically stable, then it is persistent. We also show that if a sequence of uniformly expansive continuous maps of a compact uniform space has a uniform limit and the uniform shadowing property, then the limit is topologically stable. In addition, we introduce the concepts of shadowable points and topologically stable points for a continuous map of a compact topological space and obtain that every shadowable point of an expansive continuous map of a compact topological space is topologically stable.

초음파센서와 RFID 시스템을 이용한 이동로봇의 맵 빌딩에 관한 연구 (A Study on Map Building of Mobile Robot Using RFID Technology and Ultrasonic Sensor)

  • 이도경;임재성;김상봉
    • 제어로봇시스템학회논문지
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    • 제16권3호
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    • pp.239-244
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    • 2010
  • This paper is to present map building of mobile robot using RFID (Radio Frequency Identification) technology and ultrasonic sensor. For mobile robot to perform map building, the mobile robot needs its localization and accurate driving in space. In this reason, firstly, kinematic modeling of mobile robot under non-holonomic constrains is introduced. Secondly, based on this modeling, a tracking controller is designed for tracking a given path based on backstepping method using Lyapunov function. The Lyapunov function is also introduced for proving the stability of the designed tracking controller. Thirdly, 2D map building is performed by RFID system, mobile robot system and ultrasonic sensors. The RFID mobile robot system is composed of DC motor, encoder, ultra sonic sensor, digital compass, RFID receiver and RFID antenna. Finally, the path tracking simulation results and map building experimental results are presented to show the effectiveness of the designed controller.

Effect of Modified Atmosphere Packaging Varying in CO2 and N2 Composition on Quality Characteristics of Dry Fermented Sausage during Refrigeration Storage

  • Ameer, Ammara;Seleshe, Semeneh;Kang, Suk Nam
    • 한국축산식품학회지
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    • 제42권4호
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    • pp.639-654
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    • 2022
  • The current study investigated the effects of the most suitable modified atmosphere packaging (MAP) on the physicochemical, microbiological, and sensory properties of fermented dry sausages during 45 days of refrigeration (4℃) storage period. Treatments were vacuum-packed (control), 25% CO2/75% N2 (MAP1), 50% CO2/50% N2 (MAP2), 70% CO2/30% N2 (MAP3), and 100% CO2 (MAP4). All MAP samples regardless of their CO2 composition significantly (p<0.05) decreased in pH, aw, total plate count, and lactic acid bacteria count values as compared to the vacuum-package during storage. The Enterobacteriaceae count in all MAP packaging was significantly (p<0.05) lower than the vacuum-packed samples and counts in MAP3 and MAP4 samples were markedly (p<0.05) lower than all other treatments in prolonged storage of 15 and 45 days. Based on the thiobarbituric acid reactive substance content at day 15 and 30 storage time, treatments are ranked as follows: Vacuum-packed>MAP1>MAP2>MAP3>MAP4. The a* of MAP4 was higher than all other treatments. In the final storage days, no variation was exhibited (p>0.05) among treatments in lactic acid aroma and sourness, and MAP2 samples had the lowest (p<0.05) overall acceptability. The use of MAPs with an increase in the CO2 from MAP1 to MAP4 samples can help in better microbial inhibition than vacuum package, and 70% CO2/30% N2 (MAP3) and 100% CO2 (MAP4) were effective to maintain several quality parameters (aw, pH, microbial inhibition, stability against lipid oxidation, and instrumental color traits) and extend the shelf life of dry fermented sausage.

DYNAMICAL STABILITY AND SHADOWING PROPERTY OF CONTINUOUS MAPS

  • Koo, Ki-Shik;Ryu, Hyun Sook
    • 충청수학회지
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    • 제11권1호
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    • pp.73-85
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    • 1998
  • This paper deals with the topological stability of continuous maps. First, the notion of local expansion is given and we show that local expansions of compact metric spaces have the shadowing property. Also, we prove that if a continuous surjective map f is a local homeomorphism and local expansion, then f is topologically stable in the class of continuous surjective maps. Finally, we find homeomorphisms which are not topologically stable.

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A Fixed Point Approach to the Stability of Quadratic Equations in Quasi Normed Spaces

  • Mirmostafaee, Alireza Kamel
    • Kyungpook Mathematical Journal
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    • 제49권4호
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    • pp.691-700
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    • 2009
  • We use the fixed alternative theorem to establish Hyers-Ulam-Rassias stability of the quadratic functional equation where functions map a linear space into a complete quasi p-normed space. Moreover, we will show that the continuity behavior of an approximately quadratic mapping, which is controlled by a suitable continuous function, implies the continuity of a unique quadratic function, which is a good approximation to the mapping. We also give a few applications of our results in some special cases.

3차원 작업공간에서 보행 프리미티브를 이용한 다리형 로봇의 운동 계획 (Motion Planning for Legged Robots Using Locomotion Primitives in the 3D Workspace)

  • 김용태;김한정
    • 로봇학회논문지
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    • 제2권3호
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    • pp.275-281
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    • 2007
  • This paper presents a motion planning strategy for legged robots using locomotion primitives in the complex 3D environments. First, we define configuration, motion primitives and locomotion primitives for legged robots. A hierarchical motion planning method based on a combination of 2.5 dimensional maps of the 3D workspace is proposed. A global navigation map is obtained using 2.5 dimensional maps such as an obstacle height map, a passage map, and a gradient map of obstacles to distinguish obstacles. A high-level path planner finds a global path from a 2D navigation map. A mid-level planner creates sub-goals that help the legged robot efficiently cope with various obstacles using only a small set of locomotion primitives that are useful for stable navigation of the robot. A local obstacle map that describes the edge or border of the obstacles is used to find the sub-goals along the global path. A low-level planner searches for a feasible sequence of locomotion primitives between sub-goals. We use heuristic algorithm in local motion planner. The proposed planning method is verified by both locomotion and soccer experiments on a small biped robot in a cluttered environment. Experiment results show an improvement in motion stability.

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푸앙카레 사상과 운동적분를 이용한 비선형 정규모드 진동의 연구 (On the Study of Nonlinear Normal Mode Vibration via Poincare Map and Integral of Motion)

  • Rhee, Huinam
    • 소음진동
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    • 제9권1호
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    • pp.196-205
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    • 1999
  • 6승의 비선형 항을 가지는 두개의 질량으로 구성된 비선형 해밀톤계에 대해서, 비선형 정규모드인 주기운동의 존재성, 분기현상 및 궤도 안정성을 연구하였다. 운동방정식의 직접적분을 통해 4차원 위상공간에서의 운동궤적을 2차원 면으로 투영하는 푸앙카레 사상을 구하였고, 또한 버크 호프-구스타프슨 표준 변환을 통해 구한 운동적분을 이용하여 에너지가 작을때 푸앙카레 사상에 나타나는 불변 곡선들의 해석적인 표현을 유도하였다. 본 논문에서 연구한 진동계는 비선형 계수의 값에 따라 2개 또는 4개의 비선형 정규모드를 가짐이 밝혀졌다. 푸앙카레 사상은, 분기된 모드는 안정하고, 원래의 모드는 안정한 상태에서 불안정한 상태로 변한다는 것을 분명하게 보여주었다.

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Operation Strategy of Cheju AC Network Included Multi-Infeed HVDC System

  • Kim, Chan-Ki;Jang, Gilsoo
    • Journal of Electrical Engineering and Technology
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    • 제8권3호
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    • pp.393-401
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    • 2013
  • This paper deals with the operation strategy of the Cheju AC network included MIHVDC system (Multi-Infeed HVDC system). In case that where several HVDC systems are located in the vicinity of each other, there are interactions between the different HVDC systems in such network configurations. The interactions which could be generated in multi-infeed HVDC are voltage stability, power stability and inertia stability, to analyze such systems in a systematic way to ensure that there are no risks of adverse interactions is very important. The developed method until now to analyze MIHVDC interaction is extended from MAP(Maximum Available Power) method for analyzing the power stability of the single-infeed HVDC system, this method is to solve the eigenstructure using the identified factors influencing the interactions. Finally, the algorithms which are introduced in this paper, to determine the operation strategy are applied to Cheju island network which is supplied by two HVDCs.

A Novel Method of Improving Cache Hit-rate in Hadoop MapReduce using SSD Cache

  • Kim, Jong-Chan;An, Jae-Hoon;Kim, Young-Hwan;Jeon, Ki-Man
    • 한국컴퓨터정보학회논문지
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    • 제20권8호
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    • pp.1-6
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    • 2015
  • The MapReduce Program of Hadoop Distributed File System operates on any unspecified nodes due to distributed-parallel process and block replicate for data stability. Since it is difficult to guarantee the cache locality when a Solid State Drive is used as a cache in hadoop, cache hit-rate is decreased. In this paper, we suggest a method to improve cache hit rate by pre-loading the input data of the MapReduce onto the SSD cache. To perform this method, we estimated the blocks that are used on each node by using capacity scheduler and block metadata. Eventually we could increase the performance of SSD cache by loading the blocks onto SSD cache before the Map Task run.

On the long-term stability of the Y4KCam shutter

  • Lee, Jae-Woo
    • 천문학회보
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    • 제40권1호
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    • pp.82.1-82.1
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    • 2015
  • We investigate the long-term spatial drift of the center and the temporal variation of the shutter delay time map of Y4KCam mounted on the CTIO 1.0m telescope. We have collected shutter delay time maps for over 7 years as a part of long-term survey program. We find that the center of the shutter delay time map can drift up to $450{\mu}m$ on the CCD. This effect can result in a small amount of error unless the proper shutter delay time correction, but it does not appear to cause any significant problems in photometric measurements. We obtain the mean value of the shutter delay time of $69.1{\pm}0.9$ msec and find no temporal variation of the shutter delay time of Y4KCam for over 7 years, indicative of the mechanical stability of the shutter. We suggest that using a master shutter delay time correction frame would be sufficient to achieve high precision photometry and this does not add up errors more than ~ 2.5 mmag across the CCD frame with exposure times longer than 1 sec.

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