In this paper, the concepts of the stability and uniform stability of input-output systems introduced in Ref. 1 are generalized to the model of general systems. Several equivalent conditions are given. The relation between the concepts and that of continuity of mappings from a topological space into a general topological space is studied. In the last section, some mapping properties of stable systems and uniformly stable systems are studied. Some open questions are posed.
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Yi Lin (1988) studied this question.
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