Title :
Mathematical theory of nondeterministic fluctuations of systems
Author :
Horiuchi, Kazuo ; Iino, Riichi
Author_Institution :
Waseda Univ., Tokyo, Japan
Abstract :
Gives a mathematical theory based on the concept of Hausdorff´s ball measure, by representing a fixed point theorem for the set-valued mapping which describes such nondeterministic fluctuations of systems. From the standpoint of this functional analysis theory, methods based on the fixed point theorem for set-valued mappings are discussed for the analysis of nonlinear system fluctuations. Clear descriptions are given for the tolerability and quasitolerability of the system fluctuation
Keywords :
functional analysis; nonlinear systems; Hausdorff´s ball measure; fixed point theorem; functional analysis theory; nondeterministic fluctuations; nonlinear system; quasitolerability; set-valued mapping; tolerability; Equations; Fluctuations; Functional analysis; Nonlinear systems; Security; Signal design; Signal mapping; Stability analysis; System performance;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176559
