形式化开发网络中心实时操作系统

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"Formal Development of a Network-Centric RTOS" 本书详细介绍了OpenComRTOS,这是一种正式开发的网络中心实时操作系统(RTOS),它在嵌入式软件工程领域中首次展示了形式化方法的应用价值。OpenComRTOS的独特之处在于,它涵盖了从需求、规范到最终执行平台的完整产品开发范围,并且与如IEC61508等安全相关工程标准兼容,从而确保了软件的可靠性和高性能。 在实时操作系统(RTOS)的开发中,形式化方法是一种严谨的系统设计和验证技术,它利用数学逻辑来精确地描述软件的行为和性质。通过这种方法,开发者能够确保系统的功能正确性,减少潜在的错误和漏洞,从而提高系统的稳定性和性能。OpenComRTOS的开发过程就充分利用了这些优点,以确保其在网络环境中的高效运行和可靠性。 在书中,作者们,包括Eric Verhulst、Raymond T. Boute、José Miguel Sampaio Faria、Bernhard H. C. Sputh和Vitaliy Mezhuyev,详细阐述了如何使用形式化方法进行RTOS的设计和实现。他们探讨了如何从需求分析阶段开始,运用形式化技术建立精确的规格说明,然后进行形式验证,以确保这些规格能够满足预期的性能和安全要求。此外,他们还讨论了如何将这些方法应用于网络通信协议栈的设计,以实现高效、实时的网络通信。 书中提到的形式化开发流程不仅限于理论,还包括实际的工程实践,这意味着读者可以学习如何将这些技术应用到自己的项目中。这包括使用特定的工具和方法进行模型验证、代码生成和测试,以确保生成的RTOS代码不仅符合规格,而且能够在目标硬件上正确无误地运行。 在安全性方面,由于形式化方法的严谨性,OpenComRTOS能够满足如IEC61508这样的工业安全标准,这对于在关键领域应用的嵌入式系统至关重要。这些标准要求软件必须经过严格的分析和验证,以确保在故障发生时能够维持预定的安全等级。 总而言之,《Formal Development of a Network-Centric RTOS》提供了一种独特的方法论,结合了形式化方法和网络为中心的视角,为开发高质量、高可靠的实时操作系统提供了全面的指导。这本书对于从事嵌入式系统、实时操作系统和形式化方法研究的工程师和学者来说,是一份宝贵的参考资料。

For macroscopically anisotropic media in which the variations in the phase stiffness tensor are small, formal solutions to the boundary-value problem have been developed in the form of perturbation series (Dederichs and Zeller, 1973; Gubernatis and Krumhansl, 1975 ; Willis, 1981). Due to the nature of the integral operator, one must contend with conditionally convergent integrals. One approach to this problem is to carry out a “renormalization” procedure which amounts to identifying physically what the conditionally convergent terms ought to contribute and replacing them by convergent terms that make this contribution (McCoy, 1979). For the special case of macroscopically isotropic media, the first few terms of this perturbation expansion have been explicitly given in terms of certain statistical correlation functions for both three-dimensional media (Beran and Molyneux, 1966 ; Milton and Phan-Thien, 1982) and two-dimensional media (Silnutzer, 1972 ; Milton, 1982). A drawback of all of these classical perturbation expansions is that they are only valid for media in which the moduli of the phases are nearly the same, albeit applicable for arbitrary volume fractions. In this paper we develop new, exact perturbation expansions for the effective stiffness tensor of macroscopically anisotropic composite media consisting of two isotropic phases by introducing an integral equation for the so-called “cavity” strain field. The expansions are not formal but rather the nth-order tensor coefficients are given explicitly in terms of integrals over products of certain tensor fields and a determinant involving n-point statistical correlation functions that render the integrals absolutely convergent in the infinite-volume limit. Thus, no renormalization analysis is required because the procedure used to solve the integral equation systematically leads to absolutely convergent integrals. Another useful feature of the expansions is that they converge rapidly for a class of dispersions for all volume fractions, even when the phase moduli differ significantly.

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