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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.3
- 발행연도
- 2016.9
- 수록면
- 225 - 242 (18page)
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초록· 키워드
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The phase-type representation is strongly connected with the positive realization in positive system. We attempt to transform phase-type representation into sparse mono-cyclic positive representation with as low order as possible. Because equivalent positive representations of a given phase-type distribution are non-unique, it is important to find a simple sparse positive representation with lower order that leads to more effective use in applications. A Hypo-Feedback-Coxian Block (HFCB) representation is a good candidate for a simple sparse representation. Our objective is to find an HFCB representation with possibly lower order, including all the eigenvalues of the original generator. We introduce an efficient nonlinear optimization method for computing an HFCB representation from a given phase-type representation. We discuss numerical problems encountered when finding efficiently a stable solution of the nonlinear constrained optimization problem. Numerical simulations are performed to show the effectiveness of the proposed algorithm.
목차
ABSTRACT
1. INTRODUCTION
2. PHASE-TYPE DISTRIBUTIONS
3. SPECIALLY STRUCTURED POSITIVE REPRESENTATIONS
4. OPTIMIZATION METHOD FOR FINDING A SPARSE HFCB REPRESENTATION
5. NUMERICAL RESULTS AND DISCUSS
6. CONCLUSION
REFERENCES
참고문헌 (21)
참고문헌 신청
[학술지(정기간행물)] - C. Altafini / 2016 / Minimal eventually positive realizations of externally positive systems / Automatica 68 : 140 ~ 147
[학술지(정기간행물)] - L. Benvenuti / 1999 / Filtering through combination of positive filters. Circuits and Systems I: Fundamental Theory and Applications / IEEE Transactions on 46 (12) : 1431 ~ 1440
[단행본] - L. Farina / 2000 / Positive Linear Systems: Theory and Applications / Wiley Interscience
[학술지(정기간행물)] - B. Nagy / 2007 / Order Bound for the Realization of a Combination of Positive Filters / IEEE Transactions on Automatic Control 52 (4) : 724 ~ 729
[학술지(정기간행물)] - C. Commault / 2003 / Phase-type distributions and representations: Some results and open problems for system theory / International Journal of Control 76 (6) : 566 ~ 580
[학술지(정기간행물)] - L. Benvenuti / 1999 / Filtering through combination of positive filters. Circuits and Systems I: Fundamental Theory and Applications / IEEE Transactions on 46 (12) : 1431 ~ 1440
[단행본] - L. Farina / 2000 / Positive Linear Systems: Theory and Applications / Wiley Interscience
[학술지(정기간행물)] - B. Nagy / 2007 / Order Bound for the Realization of a Combination of Positive Filters / IEEE Transactions on Automatic Control 52 (4) : 724 ~ 729
[학술지(정기간행물)] - C. Commault / 2003 / Phase-type distributions and representations: Some results and open problems for system theory / International Journal of Control 76 (6) : 566 ~ 580
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UCI(KEPA) : I410-ECN-0101-2017-410-001102255