• Title/Summary/Keyword: Stability on a Manifold

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Natural Resolution of DOF Redundancy in Execution of Robot Tasks;Stability on a Constraint Manifold

  • Arimoto, S.;Hashiguchi, H.;Bae, J.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.180-185
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    • 2003
  • In order to enhance dexterity in execution of robot tasks, a redundant number of degrees-of-freedom (DOF) is adopted for design of robotic mechanisms like robot arms and multi-fingered robot hands. Associated with such redundancy in the number of DOFs relative to the number of physical variables necessary and sufficient for description of a given task, an extra performance index is introduced for controlling such a redundant robot in order to avoid arising of an ill-posed problem of inverse kinematics from the task space to the joint space. This paper shows that such an ill-posedness of DOF redundancy can be resolved in a natural way by using a novel concept named “stability on a manifold”. To show this, two illustrative robot tasks 1) robotic handwriting and 2) control of an object posture via rolling contact by a multi-DOF finger are analyzed in details.

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Effects of MTV on fuel distribution and flame stability in a SI engine (MTV가 연소실내 연료분포 및 화염 안정성에 미치는 영향 연구)

  • Kim, K S.
    • Journal of ILASS-Korea
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    • v.2 no.4
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    • pp.36-46
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    • 1997
  • The present study investigated the effects of MTV(Manifold Throttle Valve) on the fuel distribution and the flame stability in a SI engine at cold, idling condition. For the quantitative measurement of fuel distribution with PLIF method, compensating techniques of various factors such as laser beam nonuniformity, background image and local OTF nonuniformity were developed. As a result, it was found that MTV had a positive effect on the air-fuel mixing and flame stability.

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Issues Involved In The Study Of The Voltage Stability of A Power System Network Modeled By DAE

  • Lee, Byong-Jun;Song, Kil-Yeong;Kwon, Sae-Hyuk
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.6-8
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    • 1994
  • In this paper an attempt is made to understand the voltage stability when the power system networks are represented by the differential-algebraic equations (DAEs) form. The problem is analyzed by interpreting the shape of constraint manifold, based on the singular perturbation model. The global picture or constraint manifold is given to show how the local shape or constraint manifold can be used to guess for the system behavior. The gradient analysis is used systematically to obtain a local shape or the constraint manifold.

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ON STABILITY OF EINSTEIN WARPED PRODUCT MANIFOLDS

  • Pyo, Yong-Soo;Kim, Hyun-Woong;Park, Joon-Sik
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.167-176
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    • 2010
  • Let (B, $\check{g}$) and (N, $\hat{g}$) be Einstein manifolds. Then, we get a complete (necessary and sufficient) condition for the warped product manifold $B\;{\times}_f\;N\;:=\;(B\;{\times}\;N,\;\check{g}\;+\;f{\hat{g}}$) to be Einstein, and obtain a complete condition for the Einstein warped product manifold $B\;{\times}_f\;N$ to be weakly stable. Moreover, we get a complete condition for the map i : ($B,\;\check{g})\;{\times}\;(N,\;\hat{g})\;{\rightarrow}\;B\;{\times}_f\;N$, which is the identity map as a map, to be harmonic. Under the assumption that i is harmonic, we obtain a complete condition for $B\;{\times}_f\;N$ to be Einstein.

Study of the effect of cleaning the intake manifold on common rail diesel engine and exhaust gases (커먼레일 디젤엔진의 흡기 매니폴더 클리닝이 배기가스에 미치는 영향에 관한 연구)

  • Kim, Tae-Jung;Hong, Sung-In
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.10
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    • pp.5912-5918
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    • 2014
  • Owing to highly developed industries and the use of fossil fuels, environmental problems becoming becoming pressing issues globally. Therefore, a study of automobile exhaust is urgently needed. Generally, air is sucked into the engine through the intake manifold. The aims of this study were to reduce the exhaust from used cars and increase the output by removing carbon deposits, which are considered a reason for the increasing exhaust and reduction of output, and the reduction of exhaust, variation of output and stability of idle speed were analyzed. The formation of carbon deposits within the suction manifold was investigated through a test device (KD147). In the intake manifold, the exhaust cleaning effect was confirmed.

Experimental Study of Spray Characteristics on the Throttleable Dual Manifold Injector (이중 매니폴드 가변추력 분사기의 분무 특성에 관한 실험적 연구)

  • Youn, Jung-Soo;Kim, Sung-Hyuk;Yoon, Young-Bin
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.3
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    • pp.22-30
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    • 2011
  • There is a many way of LPRE throttling methods, high-pressure-drop systems, dual-manifold injector, gas injection, multiple chambers, pulse modulation and movable injector components. Especially dual-manifold injector is essentially combines two fixed-area injectors into a common structure, with independent feed systems controlling flow to each injector manifold. In this paper, using indirect photography and liquid film thickness measurement with various injection pressure and tangential entry diameter to decide stability of spray over a wide thrust range in dual manifold injector.

ON STABLE MINIMAL SURFACES IN THREE DIMENSIONAL MANIFOLDS OF NONNEGATIVE SCALAR CURVATURE

  • Lee, Chong-Hee
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.175-177
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    • 1989
  • The following is the basic problem about the stability in Riemannian Geometry; given a Riemannian manifold N, find all stable complete minimal submanifolds of N. As answers of this problem, do Carmo-Peng [1] and Fischer-Colbrie and Schoen [3] showed that the stable minimal surfaces in R$^{3}$ are planes and Schoen-Yau [5] and Fischer-Colbrie and Schoen [3] gave a solution for the case where the ambient space is a three dimensional manifold with nonnegative scalar curvature. In this paper we will remove the assumption of finite absolute total curvature in [3, Theorem 3].

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TOPOLOGICAL STABILITY OF INVERSE SHADOWING SYSTEMS

  • Lee, Keonhee;Lee, Joonhee
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.53-63
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    • 2000
  • The inverse shadowing property of a dynamical system is an "inverse" form of the shadowing property of the system. Recently, Kloeden and Ombach proved that if an expansive system on a compact manifold has the shadowing property then it has the inverse shadowing property. In this paper, we study topological stability of the inverse shadowing dynamical systems. In particular, we show that if an expansive system on a compact manifold has the inverse shadowing property then it is topologically stable, and so it has the shadowing property.

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Stability and Constant Boundary-Value Problems of f-Harmonic Maps with Potential

  • Kacimi, Bouazza;Cherif, Ahmed Mohammed
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.559-571
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    • 2018
  • In this paper, we give some results on the stability of f-harmonic maps with potential from or into spheres and any Riemannian manifold. We study the constant boundary-value problems of such maps defined on a specific Cartan-Hadamard manifolds, and obtain a Liouville-type theorem. It can also be applied to the static Landau-Lifshitz equations. We also prove a Liouville theorem for f-harmonic maps with finite f-energy or slowly divergent f-energy.

A Study on Fluid Flow in the Intake Manifold for an Engine (엔진 흡기관내의 유체유동에 관한 연구)

  • 성낙원;이응석;강건용;엄종호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.295-307
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    • 1988
  • In order to predict performance of the intake manifold, which is dependent on the length and diameter of a resonance pipe, the Fluid Dynamic Model for 4-cylinder diesel engine is developed using two step Lax-Wendroff method to solve the governing equations of air flow in the intake system. Boundary conditions at the intake valve, branch at the manifolds, and pipe end are also modeled. The results of the models are compared with the experimental results of a motored engine. The model is capable of predicting the real phenomena satisfactorily with reasonable computing time.