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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 8 Documents
 1 
Search results for , issue "Vol 13, No 1 (2010): JURNAL MATEMATIKA" : 8 Documents clear
ANALISIS SISTEM NON LINEAR MELALUI PENDEKATAN SISTEM LINEAR DENGAN PARAMETER BERUBAH-UBAH widowati, widowati
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This paper proposes  the relation between nonlinear systems with LPV systems (Linear  Parameter Varying  systems) where the non-linear systems can be described as LPV systems. Based  on the LPV systems description, the nonlinearity of the systems is represented by parameters  varying. Local properties of nonlinear systems are presented. It is assumed that all the conditions for the existence and uniqueness of solutions have been met. It is also assumed that the origin is a stationary point. Then, we will discuss how to analyze the stability of non-linear systems using the LPV systems approach. Furthermore, the bounds  of parameters to ensure the asymptotic stability of nonlinear systems  are given. To verify the proposed method, numerical simulations are demonstrated  
MODEL PREDATOR DAN PREY DENGAN MODEL SUSCEPTIBLE - INFECTED – SUSCEPTIBLE HIDAYATI, FIRSTY Nur; SUNARSIH, SUNARSIH
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

 A predator-prey model with infected prey is an interaction between a predator and a prey population with infected prey. This model is a result of the predator-prey model with logistic growth in the prey population which is combined with Susceptible-Infected-Susceptible (SIS) model in the prey. The equations in this model are non linear differential equation with three dependent variables. In this system, is size of prey population at time , is the fraction of the prey that are infectious at time and is size of predator population at time . It is assumed that infected prey are vulnerable than by a factor . Stability analysis system is done to all five equilibriain this linearized. Each of stability in those equilibria points is based on theeigen values.  
K-ALJABAR ISWATI, ISWATI; suryoto, Suryoto
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

K-algebra is an algebra structure built on a group so that characters of a group will apply also at K-algebra. If at group there is subgroup and homomorfism group, hence at K-algebra there is K-subalgebra and K-homomorfism. By using characters of group, will be proved characters applied at K-algebra.  
MENYELESAIKAN SISTEM PERSAMAAN LINIER MENGGUNAKAN ANALISIS SVD ahmad, irdam haidir; ratnasari, lucia
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Linear equation system, Ax = b, may be consistent or inconsistent. The approximate solution of  inconsistent of linear equation system can be determined. Gauss elimination or Gauss-Jordan elimination can be used to determine the solution of the consistent of linear equation system, but can’t for the inconsistent of linear equation system. Singular Value Decomposition (SVD) is matrix factorization method that closely associated with the singular value of the matrix. SVD analysis can be used to determined the orthonormal bases for the four fundamental subspaces associated with matrix A. That bases can be used to compute thesolution of the consistent and inconsistent of  linear equation system.  
ANALISIS MATEMATIKA PERBANDINGAN METODE DIVIDE & BROADCAST DAN METODE DIVIDE & PARTIAL BROADCAST adam, Pasrun; Cahyono, Edi
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this article we discuss the comparison of Divide & Broadcast Method (DBM) and Divide & Partial Broadcast Method. Both are data processing methods. From mathematical point of view the methods are to seek a relation of two sets of a large amount of data, too large for one processor. The comparison is based on three basic computations of the matching of two sets i.e. multiplication, addition and logarithm. The comparison is to obtain the efficiency of the methods. Previous researches have shown that based on multiplication and addition DPBM is more efficient than DBM, but the result based on logarithm is still unknown. In this article we report our result on the comparison of DBM and DPBM based on logarithm computation.  
PERANCANGAN KONTROL SISTEM INTEGRATOR MULTI AGEN DENGAN FORMASI SEGITIGA tjahjana, remedetus heru
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, a model of swarm movement in triangular formation is considered. The flocking of geese happening in nature motivates this model. The model  is described by several integrator systems. The movement of the swarm formation is required to preserve a triangle formation from one particular position to the other position. The triangular formation above is translated to a functional cost that must be minimized.  This functional cost consists of an error function, repellant term and energy put to control each agent. The theorem  of swarm movement in a triangular formation and some simulation results are presented in the end of the paper.   
MEMBANGUN KODE GOLAY (24, 12, 8) DENGAN MATRIKS GENERATOR DAN MENGGUNAKAN ATURAN KONTRUKSI rizki, ikhsan; Irawanto, Bambang
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The binary (24, 12, 8) extended Golay code can be constructed through the direct sum operation with involve two product codes. This method form the generator matrix framework of the (24, 12, 8) Golay code that is based on the so-called Turyn or |a + x|b + x|a + b + x| construction, where a,b C1 and x C. C1 and C is the (8, 4, 4) linear block codes. C can be gotten by applying construction rules to get the generator matrix of C. With C1 and C and by applying the generator matrix framework of the (24. 12, 8) Golay code get the binary (24, 12, 8) extended Golay code.  
PELABELAN TOTAL TITIK AJAIB GRAF HASIL KALI KARTESIUS DARI GRAF SIKEL nita, maria; Soelistyo, R. Heri
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A vertex-magic total labeling of graph , with the vertices  and the edges  is the bijection from  to the set of integers , and for each vertex  in  satisfying ,  is the vertex that adjacent with , then  named a magic constant in . The sum of the label of  and the labels of all edges  incident to the  is the same for all vertices of  and  named vertex-magic total graph. Vertex-magic total labeling of cartesian products of cycles, with the type , with  and  is odd are the labeling to the  and the concept used to label  is -vertex antimagic total labeling and to label  it is used vertex magic total labeling of cycles, with the cycle is odd.  

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