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71.
Motivated by a general dilation theory for operator-valued measures, framings and bounded linear maps on operator algebras, we consider the dilation theory of the above objects with special structures. We show that every operator-valued system of imprimitivity has a dilation to a probability spectral system of imprimitivity acting on a Banach space. This completely generalizes a well-known result which states that every frame representation of a countable group on a Hilbert space is unitarily equivalent to a subrepresentation of the left regular representation of the group. We also prove that isometric group representation induced framings on a Banach space can be dilated to unconditional bases with the same structure for a larger Banach space. This extends several known results on the dilations of frames induced by unitary group representations on Hilbert spaces. 相似文献
72.
Monica Patriche 《Numerical Functional Analysis & Optimization》2014,35(7-9):1152-1173
We introduce new types of systems of generalized quasi-variational inequalities and we prove the existence of the solutions by using results of pair equilibrium existence for free abstract economies. We consider the fuzzy models and we also introduce the random free abstract economy and the random equilibrium pair. The existence of the solutions for the systems of quasi-variational inequalities comes as consequences of the existence of equilibrium pairs for the considered free abstract economies. 相似文献
73.
《Applied Mathematical Modelling》2014,38(19-20):4574-4585
This paper presents a constructive approach to optimize the availability of a system through modeling the dependency of the components. Our goal is to minimize the system cost under the constraint that system availability must not be less than a given level. In particular, the components are dependent of each other. A function noted as the dependence function is introduced to model the dependency. It is demonstrated that, for a general form of the system cost, the dependence function guarantees a finite set of feasible solutions. An approach is then developed with the help of the dependence function to obtain the optimal solution. The resolution is illustrated by an interesting example, in which the system cost depends on the strength of the dependency. Our study reveals that the dependency is an essential and effective option to improve system reliability. Moreover, the modeling of dependency, i.e. the introduction of the dependence function is valuable for resolving the optimization problem. 相似文献
74.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(10):3513-3522
For arbitrary systems of two linear second-order ordinary differential equations, the symmetry Lie algebra is described in terms of invariant theory, resulting in eleven non-equivalent symmetry types. The result is compared with the group classification approach recently obtained by different authors. 相似文献
75.
《Journal of computational science》2014,5(3):439-449
Reliability analysis of modern large-scale systems is a challenging task which could benefit from the jointly exploitation of recent model-based approaches and simulation techniques to flexibly evaluate the system reliability performances and compare different design choices. In this context, RAMSAS, a model-based method which supports the reliability analysis of systems through simulation by combining the benefits of popular OMG modeling languages with wide adopted simulation and analysis environments, has been recently proposed. This paper shows the effectiveness of RAMSAS through a real case study concerning the reliability analysis of an Attitude Determination and Control System (ADCS) of a satellite. 相似文献
76.
77.
78.
In this article, we show the existence of intertwined basins of attraction for a class of prey-predator systems, which improves the extant results by deleting some crucial and hard testing conditions. 相似文献
79.
可达性是动态系统的重要性质之一。本文讨论离散事件动态系统的可达性,给出了系统完全可达的充要条件,得到了利用系统的特征矩阵判断系统可达性的判据,证明了系统可按可达性进行分解、状态反馈不影响系统可达性等结论,还进一步讨论了一类流水线生产加工系统的可达性,本文的结果对于这类系统的分析和控制是有意义的。 相似文献
80.
连续值域信息系统的规则提取与知识约简 总被引:5,自引:0,他引:5
研究连续值域信息系统的规则提取和知识约简,给出规则提取的完整方法和2种新的知识约简的概念,讨论各种协调集之间的关系,探讨系统允许误差变化对规则提取的影响。 相似文献