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Time‐varying linear systems and input–output stability
Author(s) -
Sandberg Irwin W.
Publication year - 2000
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/1097-007x(200009/10)28:5<507::aid-cta118>3.0.co;2-s
Subject(s) - stability (learning theory) , upper and lower bounds , control theory (sociology) , linear system , class (philosophy) , mathematics , computer science , mathematical analysis , control (management) , artificial intelligence , machine learning
One useful strategy for establishing input–output stability is to seek conditions on the system map so that a certain lower‐bound condition is met. We show here that, for a large class of time‐varying linear systems, the lower‐bound condition for stability is in fact necessary. Copyright © 2000 John Wiley & Sons, Ltd.