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Extention of Upper Bound Sampling Times for Discrete Implementation of a Continuous Controller Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Tulisan ini memperbaiki syarat cukup yang diusulkan oleh Astuti dkk sehingga implementasi diskret suatu pengendali kontinu tetap mengendalikan suatu sistem tak linier konvergen ke suatu bola. Seperti juga dalam Astuti dkk, syarat cukup tersebut dapat digunakan untuk menentukan batas atas periode cuplik yang akan menghasilkan sistem kendali data tercuplik yang bersifat konvergen. Lebih dari itu, batas atas yang dihasilkan dapat lebih baik dibandingkan dengan batas atas yang dihasilkan dengan menggunakan syarat cukup di Astuti dkk. Contoh sederhana diberikan untuk mempertunjukkan hasil tersebut. Extention of Upper Bound Sampling Times for Discrete Implementation of a Continuous ControllerThis note improves the sufficient conditions proposed by Astuti et. al. which guarantee the discrete implementation of a continuous controller remains resulting in the convergence of a nonlinear system. As in Astuti et. al. the proposed sufficient conditions can be used to determine an upper bound of sampling times resulting in the convergence of the closed loop sampled data control system. Further, the obtained upper bound of sampling time can be better than the upper bound obtained using the conditions in Astuti et. al. A simple example is given to demonstrate the result.
Continuous-Like Linear Operators on Bilinear Spaces Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 2 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.2.8

Abstract

This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to the operator being continuous. In this paper, this result is extended to the class of linear operators on bilinear spaces. It is shown that the existence of the adjoint of a linear operator on a bilinear space is guaranteed if and only if the operator is continuous-like.
Penetapan Kadar Genistein Dalam Ekstrak Metanol BijiKedelai Glycine Max L. Merr. Varietas Grobogan MenggunakanMetode KLT Dan HPLC Retno Aryani; Pudji Astuti; Soekarti Moeljopawiro; Laurentius Hartanto Nugroho
BIOPROSPEK: Jurnal Ilmiah Biologi Vol 10 No 2 (2015): Bioprospek: Jurnal Ilmiah Biologi: Volume 10 Number 2 2015
Publisher : Jurusan Biologi, Fakultas Matematika dan Ilmu Pengetahuan Alam

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Abstract

Soybean (Glycine max L. Merr.) is one of the foodstuffs that are oftenconsumed most of Indonesian. Soy contains phytoestrogens, whichhave chemical structures resemble the hormone estrogen in the body,namely the isoflavones, especially genistein. Genistein is known notonly have various beneficial physiological effects but also act as anendocrine disruptor is because estrogen can play a role as well asantiestrogen activity that affects the metabolism of sex hormones andrelated activities biologi. The objective of this study was to know thequality of genistein in soy extracts Grobogan varieties that have beenpeeled the husk with Thin Layer Chromatography (TLC) and thequantity of soy extract genistein levels Grobogan varieties that havebeen peeled the husk with a method of High Performance LiquidChromatography (HPLC). The method used for extraction ofisoflavones genistein is maceration. Soybean seed samples which havebeen hulled begins with removal of non polar compounds byextraction using n-hexane solvent extraction followed macerationusing 80% methanol. The methanol extract obtained fractionated witha stationary phase of silica gel GF 254, the mobile phase toluene-ethylacetate-aseton- formic acid 20: 4: 2: 1 (v / v). To determine whether ornot a compound genistein compounds in the extract by using acomparison standard genistein further Rf sample extract comparedwith the price of a standard Rf. While the determination of genisteincompound quantitatively with HPLC method genistein standard wear≥ 98% at a concentration of 2, 4, 6, 8, 10 ppm. The identification ofgenistein using Thin Layer Chromatography (TLC), shows the stainsthat have Rf of about 0.43. Results genistein content by HPLC showedpeaks of the chromatograms that have a retention time of about 2,050minutes. HPLC analysis results in three replication showed levels ofgenistein in soya bean varieties Grobogan was 1 g samples of soyextracts that have been flayed husk there was an average of 0.6356 mggenistein. In the soybean seed Grobogan varieties contains isoflavonesgenistein. Levels of genistein in 1 g of sample soy extracts Groboganvarieties that have been flayed epidermis was an average of 0.6356 mggenistein.