Malaysian Journal of Mathematical Sciences

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  • ISSN
    1823-8343

Publications in this journal

  • Malaysian Journal of Mathematical Sciences 01/2014; 8(1):139.
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    ABSTRACT: In this paper, the hybrid synchronization is investigated for n-scroll chaotic Chua circuit (Wallace et al. (2001)) using adaptive backstepping control design based on recursive feedback control. Our theorems on hybrid synchronization for n-scroll chaotic Chua circuits are established using Lyapunov stability theory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predetermined desired value. The adaptive backstepping control method is effective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the flexibility to construct a control law and estimate the parameter values. Numerical simulations are also given to illustrate and validate the synchronization results derived in this paper.
    Malaysian Journal of Mathematical Sciences 01/2013; 7(2):219-246.
  • Malaysian Journal of Mathematical Sciences 01/2013;
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    ABSTRACT: Separation axioms are among the most common and important and interesting concepts in topology as well as in bitopologies. In this paper, we introduce Λ r -sets and some weak separation axioms using Λ r -open sets and Λ r -closure operator.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(1).
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    ABSTRACT: We consider the problem of conservation of the basis property in Banach spaces after small perturbations for the purpose of applying the obtained results to the investigation of spectral expansions associated with differential operators. Having known asymptotics of the system of eigen and adjointed functions for differential or pseudodifferential operators, it is possible to indicate its basisness in Banach space.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(2).
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    ABSTRACT: Missing covariate data occur inevitably in various scientific researches. The response variable of interest in these studies may be continuous or categorical and the covariates may have a continuous or discrete nature. Multiple Imputation (MI) procedures may be used to properly or improperly impute the missing data several times and to find parameter estimates by combining the pseudo-complete-case analyses of the imputed data-sets. Although many efforts in the literature have been placed on analyzing continuous response data with missing covariates using MI, models for ordinal response data with missing covariates have received less attention. In this paper four different models for imputation of a missing continuous covariate, of which three are proper and one improper, are compared in models for ordinal responses. All models can be easily implemented in existing software. Data from a Steatosis study is used to illustrate the use of these models. The importance of using a fuller model for imputation compared to that of the analysis model is finally underlined.
    Malaysian Journal of Mathematical Sciences 01/2011; 5:27-44.
  • Malaysian Journal of Mathematical Sciences 01/2010; 4(2):241-254.
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    ABSTRACT: In [1], Alfsen and Shultz have proved that the state space () S A of a JB-algebra A has the Hilbert ball property: for each pair ρ, σ of extreme points of () S A , the face generated by ρ and σ is a norm-exposed face affinely isomorphic to the closed unit ball in some Hilbert space ([1], Corollary 3.12). Conversely, they have proved that the order unit space A being in spectral duality with its predual space is a JB − algebra if the state space of A has the Hilbert ball property ([1], Theorem 7.2). We define the Banach ball property for the state space of order unit spaces and study order unit spaces which have this property. Thus, we describe some class of order unit spaces, geometry of which is similar to geometry of JB-algebras. Due to this fact we can develop the theory of order unit spaces like the theory of Jordan Banach spaces and obtain new results.
    Malaysian Journal of Mathematical Sciences 01/2010; 4:77-83.

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