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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 10 Documents
 1 
Search results for , issue "Volume 14 Number 2 (October 2008)" : 10 Documents clear
A NOTE ON THE EXISTENCE AND UNIQUENESS OF A BOUNDED MEAN-REVERTING PROCESS Lesmono, D.; Pollet, P.K.; Tonkes, E.J.; Burrage, K.
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.53.83-94

Abstract

We study a stochastic differential equation (SDE) describing a class of mean-reverting diffusions on a bounded interval. The drift coefficient is not continuous near theboundaries. Nor does it satisfy either of the usual Lipschitz or linear growth conditions.We characterize the boundary behaviour, identifying two possibilities: entrance boundaryand regular boundary. In the case of an entrance boundary we establish existence anduniqueness of the solution to the SDE.DOI : http://dx.doi.org/10.22342/jims.14.2.53.83-94
VIBRATION REDUCTION ON SINGLE-LINK FLEXIBLE MANIPULATOR USING H CONTROL Saragih, Roberd; Tarwidi, Dede
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.52.73-82

Abstract

This paper is concerned with the vibration and position control of a single link flexible manipulator. Robot link manipulators are widely used in various industrial applications. It is desirable to build light weight flexible manipulators. Light flexible manipulators have a variety of applications, most significantly in space exploration,manufacturing automation, construction, mining, and hazardous operation. Timoshenko beam theory is used to derive mathematical model of a flexible manipulator. The dynamic equations of motion are obtained using the Lagrange's formulation of dynamics.The Hinfin; controller is designed for vibration and position control of the system. Simulations are presented and show that vibration and position control of a single flexible link can be controlled with the designed Hinfin; controller.DOI : http://dx.doi.org/10.22342/jims.14.2.52.73-82
THE EXTREME POSITION AND AMPLITUDE AMPLIFICATION OF BICHROMATIC WAVES PROPAGATION BASED ON THIRD ORDER SOLUTION OF BOUSSINESQ EQUATION ., Marwan; ., Andonowati
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.54.95-110

Abstract

This paper concerns with the down-stream propagation of waves over initially still water. Such a study is relevant to generate waves of large amplitude in wave tankof a hydrodynamic laboratory. Input in the form of a time signal is provided at the wave-maker located at one side of the wave tank; the resulting wave then propagates over initially still water towards the beach at the other side of the tank. Experiments show that nonlinear effects will deform the waves and may lead to large wave with waves height larger than twice the original input; the deformation may show itself as peakingand splitting. It is direct scientific interest to understand and quantify the nonlinear distortion; it is also much practical interest to know at which location in the wave tank,the extreme position, the waves will achieve their maximum amplitude and to know the amplitude amplification factor. To investigate this, a previously introduced concept called Maximal Temporal Amplitude (MTA) is used: at each location the maximum over time ofthe wave elevation. An explicit expression of the MTA cannot be found in general from the governing equations and generating signals. In this paper we will use Boussinesq modeland third order approximation theory to calculate the approximate extreme positions and amplification factor for wave-group that originate from initially bi-chromatic type of wave. The wave is described by superposition of two monochromatic waves. We show that, the extreme position depends on the amplitude and the wave length of the group.The theoretical results are verified with numerical as well as experimental results for comparison.DOI : http://dx.doi.org/10.22342/jims.14.2.54.95-110
PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS Rosjanuardi, Rizky
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.55.111-119

Abstract

The topology on primitive ideal space of Toeplitz algebras of totally ordered abelian groups can be identified through the upwards-looking topology if and only if the chain of order ideals is well-ordered. We describe the topology on primitive ideal space of Toeplitz algebra of totally ordered abelian groups when the chain of order ideals is not well ordered.DOI : http://dx.doi.org/10.22342/jims.14.2.55.111-119
MORREY SPACES WITH NON-DOUBLING MEASURES II Sawano, Yoshihiro
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.56.121-152

Abstract

The aim of this article is a survey of the research of Morrey spaces with non-doubling measures. This article is based on the lecture delivered in Institute Technology Bandung. The first half of this survey contains key results with proofs, which was written is a self-contained manner except Section 6. The second half, Parts 2 and 3, is devoted to formulating key results without proofs.DOI : http://dx.doi.org/10.22342/jims.14.2.56.121-152
VIBRATION REDUCTION ON SINGLE-LINK FLEXIBLE MANIPULATOR USING H∞ CONTROL Roberd Saragih; Dede Tarwidi
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.52.73-82

Abstract

This paper is concerned with the vibration and position control of a single link flexible manipulator. Robot link manipulators are widely used in various industrial applications. It is desirable to build light weight flexible manipulators. Light flexible manipulators have a variety of applications, most significantly in space exploration,manufacturing automation, construction, mining, and hazardous operation. Timoshenko beam theory is used to derive mathematical model of a flexible manipulator. The dynamic equations of motion are obtained using the Lagrange's formulation of dynamics.The H∞ controller is designed for vibration and position control of the system. Simulations are presented and show that vibration and position control of a single flexible link can be controlled with the designed H∞ controller.DOI : http://dx.doi.org/10.22342/jims.14.2.52.73-82
A NOTE ON THE EXISTENCE AND UNIQUENESS OF A BOUNDED MEAN-REVERTING PROCESS D. Lesmono; P.K. Pollet; E.J. Tonkes; K. Burrage
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.53.83-94

Abstract

We study a stochastic differential equation (SDE) describing a class of mean-reverting diffusions on a bounded interval. The drift coefficient is not continuous near theboundaries. Nor does it satisfy either of the usual Lipschitz or linear growth conditions.We characterize the boundary behaviour, identifying two possibilities: entrance boundaryand regular boundary. In the case of an entrance boundary we establish existence anduniqueness of the solution to the SDE.DOI : http://dx.doi.org/10.22342/jims.14.2.53.83-94
THE EXTREME POSITION AND AMPLITUDE AMPLIFICATION OF BICHROMATIC WAVES PROPAGATION BASED ON THIRD ORDER SOLUTION OF BOUSSINESQ EQUATION Marwan .; Andonowati .
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.54.95-110

Abstract

This paper concerns with the down-stream propagation of waves over initially still water. Such a study is relevant to generate waves of large amplitude in wave tankof a hydrodynamic laboratory. Input in the form of a time signal is provided at the wave-maker located at one side of the wave tank; the resulting wave then propagates over initially still water towards the beach at the other side of the tank. Experiments show that nonlinear effects will deform the waves and may lead to large wave with waves height larger than twice the original input; the deformation may show itself as peakingand splitting. It is direct scientific interest to understand and quantify the nonlinear distortion; it is also much practical interest to know at which location in the wave tank,the extreme position, the waves will achieve their maximum amplitude and to know the amplitude amplification factor. To investigate this, a previously introduced concept called Maximal Temporal Amplitude (MTA) is used: at each location the maximum over time ofthe wave elevation. An explicit expression of the MTA cannot be found in general from the governing equations and generating signals. In this paper we will use Boussinesq modeland third order approximation theory to calculate the approximate extreme positions and amplification factor for wave-group that originate from initially bi-chromatic type of wave. The wave is described by superposition of two monochromatic waves. We show that, the extreme position depends on the amplitude and the wave length of the group.The theoretical results are verified with numerical as well as experimental results for comparison.DOI : http://dx.doi.org/10.22342/jims.14.2.54.95-110
PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS Rizky Rosjanuardi
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.55.111-119

Abstract

The topology on primitive ideal space of Toeplitz algebras of totally ordered abelian groups can be identified through the upwards-looking topology if and only if the chain of order ideals is well-ordered. We describe the topology on primitive ideal space of Toeplitz algebra of totally ordered abelian groups when the chain of order ideals is not well ordered.DOI : http://dx.doi.org/10.22342/jims.14.2.55.111-119
MORREY SPACES WITH NON-DOUBLING MEASURES II Yoshihiro Sawano
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.56.121-152

Abstract

The aim of this article is a survey of the research of Morrey spaces with non-doubling measures. This article is based on the lecture delivered in Institute Technology Bandung. The first half of this survey contains key results with proofs, which was written is a self-contained manner except Section 6. The second half, Parts 2 and 3, is devoted to formulating key results without proofs.DOI : http://dx.doi.org/10.22342/jims.14.2.56.121-152

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