Christiana Rini Indrati
Jurusan Matematika FMIPA UGM

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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