First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems
文献类型：期刊论文
| 作者 | Zhu WQ(朱位秋); Huang ZL; Deng ML |
| 刊名 | International Journal of Non-Linear Mechanics
 |
| 出版日期 | 2003 |
| 卷号 | 38期号:8页码:1133-1148 |
| ISSN号 | 0020-7462 |
| 通讯作者 | Zhu, WQ (reprint author), Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China. |
| 中文摘要 | An n degree-of-freedom Hamiltonian system with r (1¡r¡n) independent 0rst integrals which are in involution is calledpartially integrable Hamiltonian system. A partially integrable Hamiltonian system subject to light dampings andweak stochastic excitations is called quasi-partially integrable Hamiltonian system. In the present paper, the procedures for studying the 0rst-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems are proposed. First, the stochastic averaging methodfor quasi-partially integrable Hamiltonian systems is brie4y reviewed. Then, basedon the averagedIt ˆo equations, a backwardKolmogorov equation governing the conditional reliability function, a set of generalized Pontryagin equations governing the conditional moments of 0rst-passage time and their boundary and initial conditions are established. After that, the dynamical programming equations and their associated boundary and 0nal time conditions for the control problems of maximization of reliability andof maximization of mean 0rst-passage time are formulated. The relationship between the backwardKolmogorov equation andthe dynamical programming equation for reliability maximization, andthat between the Pontryagin equation andthe dynamical programming equation for maximization of mean 0rst-passage time are discussed. Finally, an example is worked out to illustrate the proposed procedures and the e9ectiveness of feedback control in reducing 0rst-passage failure. |
| 学科主题 | 力学 |
| 类目[WOS] | Mechanics |
| 研究领域[WOS] | Mechanics |
| 关键词[WOS] | NON-LINEAR OSCILLATORS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000180906300001 |
| 公开日期 | 2007-06-15 ; 2007-12-05 ; 2009-06-23 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/17571]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Zhu WQ,Huang ZL,Deng ML. First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems[J]. International Journal of Non-Linear Mechanics,2003,38(8):1133-1148. |
| APA | 朱位秋,Huang ZL,&Deng ML.(2003).First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems.International Journal of Non-Linear Mechanics,38(8),1133-1148. |
| MLA | 朱位秋,et al."First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems".International Journal of Non-Linear Mechanics 38.8(2003):1133-1148. |
入库方式： OAI收割
来源：力学研究所
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