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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika TELKOMNIKA (Telecommunication Computing Electronics and Control) Journal of the Indonesian Mathematical Society Journal of Natural A Journal of Fundamental Mathematics and Applications (JFMA) Hilbert Journal of Mathematical Analysis
Christiana Rini Indrati
Jurusan Matematika FMIPA UGM
Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Education Engineering Mathematics Physics

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Transfer Function, Stabilizability, and Detectability of Non-autonomous Riesz-spectral Systems Sutrima Sutrima; Christiana Rini Indrati; Lina Aryati
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 16, No 6: December 2018
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v16i6.10112

Abstract

Stability of a state linear system can be identified by controllability, observability, stabilizability, detectability, and transfer function. The approximate controllability and observability of non-autonomous Riesz-spectral systems have been established as well as non-autonomous Sturm-Liouville systems. As a continuation of the establishments, this paper concern on the analysis of the transfer function, stabilizability, and detectability of the non-autonomous Riesz-spectral systems. A strongly continuous quasi semigroup approach is implemented. The results show that the transfer function, stabilizability, and detectability can be established comprehensively in the non-autonomous Riesz-spectral systems. In particular, sufficient and necessary conditions for the stabilizability and detectability can be constructed. These results are parallel with infinite dimensional of autonomous systems.
Relasi Inklusi Klas Barisan p-Supremum Bounded Variation Sequences Mochamad Aruman Imron; Ch. Rini Indrati; Widodo widodo
Journal of Natural A Vol 1, No 1 (2013)
Publisher : Fakultas MIPA Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (201.565 KB)

Abstract

Pada paper ini dibahas konstruksi klas barisan p-Supremum Bounded Variation Sequences yang merupakan generalisasi dari klas Supremum Bounded Variation Sequences (SBVS). Kemudian konstruksi yang didapat diselidiki relasi inklusi dari klas tersebut.
INTEGRAL HENSTOCK-STIELTJES FUNGSI BERNILAI VEKTOR Umi Mahnuna Hanung; Ch. Rini Indrati
PYTHAGORAS Jurnal Pendidikan Matematika Vol 5, No 2: Desember 2009
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (309.522 KB) | DOI: 10.21831/pg.v5i2.544

Abstract

This paper discusses about the generalization of the Henstock-Stieltjes integral for vector-valued functions which are defined on a closed interval [a,b]R. The generalization has been done up to the existance of this integral.Key words: Henstock-Stieltjes integral, vector-valued function and bounded function.
TWO-NORM CONTINUOUS FUNCTIONALS ON L∞ Ch. Rini Indrati
Journal of the Indonesian Mathematical Society Volume 15 Number 2 (October 2009)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.15.2.47.91-96

Abstract

"Pdf File"DOI : http://dx.doi.org/10.22342/jims.15.2.47.91-96
TOPOLOGY OF QUASI-PSEUDOMETRIC SPACES AND CONTINUOUS LINEAR OPERATOR ON ASYMMETRIC NORMED SPACES Selawati, Klatenia; Indrati, Christiana Rini
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 2 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.18504

Abstract

In this paper, we will discuss about topological properties of quasi-pseudometric spaces and properties of linear operators in asymmetric normed spaces. The topological properties of quasi-pseudometric spaces will be given consisting of open and closed set properties in quasi-pseudometric spaces. The discussion about properties of linear operators on asymmetric normed spaces is focused on the uniform boundedness principle. The uniform boundedness theorem is proved by utilizing completeness properties and characteristic of closed sets on quasi-pseudometric spaces.
Sufficient conditions from countably Lipschitz to be strongly generalized absolutely continuous Indrati, Christiana Rini
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.10

Abstract

The CL-integral is an integral that is defined by using countably Lipschitz condition. The CL-integral is more general than the Lebesgue integral, but it is more specific than Denjoy integral in the wide sense. The Denjoy integral in the wide sense is more general than the Henstock-Kurzweil integral. In this paper, it will be given some conditions such that a CL-integrable function is Henctock-Kurzweil-integrable on [a, b].
Co-Authors Inuhan, Michael Lina Aryati Mochamad Aruman Imron Nugraheni, Sekar Nugraheni, Sekar Selawati, Klatenia Sutrima Sutrima Umi Mahnuna Hanung Widodo widodo