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A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales

Kazuo HORIUCHI

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Summary :

In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued mappings.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.9 pp.2078-2083
Publication Date
2001/09/01
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Type of Manuscript
Special Section INVITED PAPER (Special Section on Nonlinear Theory and its Applications)
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