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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한산업공학회 Industrial Engineering & Management Systems Industrial Engineering & Management Systems 제12권 제1호
- 발행연도
- 2013.3
- 수록면
- 2 - 8 (7page)
이용수
초록· 키워드
오류제보하기
Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation driven by the canonical Liu process. Stability analysis on uncertain differential equation is to investigate the qualitative properties, which is significant both in theory and application for uncertain differential equations. This paper aims to study stability properties of linear uncertain differential equations. First, the stability concepts are introduced. And then, several sufficient and necessary conditions of stability for linear uncertain differential equations are proposed. Besides, some examples are discussed.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARY
3. UNCERTAIN DIFFERENTIAL EQUATIONS
4. CONCEPTS OF STABILITY
5. STABILITY THEOREMS
6. CONCLUSION
REFERENCES
참고문헌 (17)
참고문헌 신청
1. [학술지(정기간행물)] - Chen, X / 2010 / Existence and uniqueness theorem for uncertain differential equations / Fuzzy Optimization and Decision Making 9 (1) : 69 ~ 81
2. [학술지(정기간행물)] - Chen, X. / 2011 / American option pricing formula for uncertain financial market / International Journal of Operations Research 8 (2) : 32 ~ 37
3. [학술지(정기간행물)] - Gao, Y. / 2012 / Existence and uniqueness theorem on uncertain differential equations with local lipschitz condition / Journal of Uncertain Systems 6 (3) : 223 ~ 232
4. [학술지(정기간행물)] - Ito, K. / 1951 / On stochastic differential equations / Memoirs of the American Mathematical Society 4 : 1 ~ 51
5. [단행본] - Kushner, H. J / 1967 / Stochastic Stability and Control / New York
2. [학술지(정기간행물)] - Chen, X. / 2011 / American option pricing formula for uncertain financial market / International Journal of Operations Research 8 (2) : 32 ~ 37
3. [학술지(정기간행물)] - Gao, Y. / 2012 / Existence and uniqueness theorem on uncertain differential equations with local lipschitz condition / Journal of Uncertain Systems 6 (3) : 223 ~ 232
4. [학술지(정기간행물)] - Ito, K. / 1951 / On stochastic differential equations / Memoirs of the American Mathematical Society 4 : 1 ~ 51
5. [단행본] - Kushner, H. J / 1967 / Stochastic Stability and Control / New York
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UCI(KEPA) : I410-ECN-0101-2014-590-003115491