两状态非单调关联系统的形式理论
A Formal Theory of Binary Non-Coherent Structures
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摘要: 两状态单调关联系统理论已经成为可靠性数学理论的基础之一,正在向着多状态单调关 联系统理论的方向发展. 1977年Lapp&Powers提出非单调关联系统模型[1],引起可靠性学术界热烈讨论.一般 自动控制系统中存在着反馈回路,这导致系统的非单调关联性.为处理此类系统,本文推广 两状态单调关联系统理论的某些结果,提出两状态非单调关联系统的形式理论.Abstract: The theory of binary coherent structures has become a foundation for the mathematical theory of reliability, and is developing towards the theory of multi-state coherent structures. A non-coherent system model was presented by Lapp & Powers in 1977, which evoked a heated discussion. Generally, there exists in automatic control systems the feedback loop. which leads to non-coherency. To handle this kind of systems, some results of the binary coherent structure theory are extended to non-coherent structures, and a formal theory of binary noncoherent structures is proposed in this paper.
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