THE CONCEPT OF STABILITIES OF GENERAL SYSTEMS |
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| Authors: | YI LIN |
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| Affiliation: | Division of Mathematics, Foundations, Analysis and Topology, Auburn University , Auburn, Alabama, 36849, USA |
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| Abstract: | 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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| Keywords: | (General) system partial system time time system linked time system neighborhood system stable system uniformly stable system |
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