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  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    q-stieltjes Classes for Some Families of q-densities
    (Elsevier Science Bv, 2019) Ostrovska, Sofiya; Turan, Mehmet
    The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly infinite families of probability densities with the same sequence of moments. In this paper, the notion of q-moment determinacy/indeterminacy is proposed and some conditions for a distribution to be either q-moment determinate or indeterminate in terms of its q-density have been obtained. Also, a q-analogue of Stieltjes classes is defined for q-distributions and q-Stieltjes classes have been constructed for a family of q-densities of q-moment indeterminate distributions. (C) 2018 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Evaluation and Optimization of Nonlinear Central Pattern Generators for Robotic Locomotion
    (Romanian Soc Control Tech informatics, 2018) Elbori, Abdalftah; Turan, Mehmet; Arikan, Kutluk Bilge; Department of Mechatronics Engineering; Mathematics
    With regard to the optimization of Central Pattern Generators (CPGs) for bipedal locomotion in robots, this paper investigates how the different cases of CPGs such as uncoupled, unidirectional, bidirectional two CPGs are used to produce rhythmic patterns for one leg with two degrees of freedom (DOF). This paper also discusses the stability analysis of CPGs and attempts to utilize genetic algorithms with the hybrid function and adapts the CPGs to robotic systems that perform one-leg movement, by utilizing the bidirectional two CPGs. The results show far greater improvement than in the other cases. CPGs not only enhance movement but also control locomotion without any sensory feedback.