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Spectral Properties and Positivity of Flows in Infinite Networks with Dynamic Boundary Control Nodes
Xuelian Jin Fu Zheng Ming Fang Chao Gao 《系统科学与信息学报》2009,7(4):319-325
In this paper we study transport processes on infinite networks with dynamic boundary control nodes. These flows can be modeled by operator semigroups on a suitable Banach space. Using functional analytical and graph theoretical methods, we investigate its spectral properties of the system and positivity of the semigroup under appropriate assumptions on the network. 相似文献
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Yinghua Shen Yufeng Zhang Aidong Jin 《系统科学与信息学报》2009,7(2):129-140
The reliability of a complex system passes through a gradual deterioration until at some critical level, the system fails completely. The study of the exponential stability of such a system requires the application of functional analysis and, particularly, the theory of linear operators in Banach space to demonstrate the existence of strictly dominant eigenvalue. Through analyzing the variation of the essential spectral radius of semigroups before and after perturbation, it is shown that the dynamic solution of the system converges to the steady-state solution of the system exponentially under certain condition. 相似文献
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苏军 《济南大学学报(自然科学版)》2005,19(2):136-138
在不要求C0-半群为紧半群的条件下,获得了Banach空间中一类半线性发展方程初值问题的整体mild解,改进和推广了已有文献中的相应结果。 相似文献
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本文证明了AL—空间上强连续格同态半群T(t)与其无穷小生成元A之间的实谱映象公式:exp(tб(A)∩R)=б(T(1))∩(0,∞)成立. 相似文献
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