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On the attractivity of imbedded systems

✍ Scribed by Lj.B. Jocić

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
757 KB
Volume
17
Category
Article
ISSN
0005-1098

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✦ Synopsis

Abstraet--A new approach designed to aid in the construction of Liapunov functions is proposed. It is based on the notion of partial properties. A given dynamic system is imbedded into an augmented system whose attractivity with respect to a part of variables is deduced by means of an auxiliary function. This leads to an exact procedure for computation of attractivity region estimates for dynamic systems. An important feature of the method is the great reduction of conservativeness of the region estimate in the case of the overlapping decomposition of large-scale systems. When applied to a multimachine power system with non-uniform damping and transfer conductances, the method gives an enlarged estimate of the region of transient stability.

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On genus imbeddings of the tensor produc
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✍ Abay-Asmerom, Ghidewon 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 566 KB

In this article new genus results for the tensor product H @ G are presented. The second factor G in H @ G is a Cayley graph. The imbedding technique used to establish these results combines surgery and voltage graph theory. This technique was first used by A. T. White [171. This imbedding technique