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Two issues with the definition of a stable system. It should be worded as "A system is therefore said to be bounded if '''any''' bounded '''input''' yields a bounded '''output'''". The words output/input were switched, and the definition must be stated for '''any''' input, as all possible bounded inputs must yield a bounded output (otherwise it is unbounded). -- Jeff Kubascik | Two issues with the definition of a stable system. It should be worded as "A system is therefore said to be bounded if '''any''' bounded '''input''' yields a bounded '''output'''". The words output/input were switched, and the definition must be stated for '''any''' input, as all possible bounded inputs must yield a bounded output (otherwise it is unbounded). -- Jeff Kubascik | ||
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− | You must have fixed what | + | You must have fixed what Jeff was complaining about, because when I read it it was correct. Good Job. |
-Collin Phillips | -Collin Phillips | ||
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+ | -- | ||
+ | I think you should clarify your first sentence: | ||
+ | "An input is said to be bounded if it is bounded above and below for all values of t." | ||
+ | What is "it" referring to? By this, it sounds like a bounded input determines a stable system which conflicts with the latter half of your definition. - Chris Cadwallader |
Latest revision as of 06:57, 19 September 2008
hey,your definitions are very good.It not only defines ,but also explains through your examples.Even my concept of stable system is quite cleared after going through your definition.-ananya
Two issues with the definition of a stable system. It should be worded as "A system is therefore said to be bounded if any bounded input yields a bounded output". The words output/input were switched, and the definition must be stated for any input, as all possible bounded inputs must yield a bounded output (otherwise it is unbounded). -- Jeff Kubascik
You must have fixed what Jeff was complaining about, because when I read it it was correct. Good Job. -Collin Phillips
-- I think you should clarify your first sentence: "An input is said to be bounded if it is bounded above and below for all values of t." What is "it" referring to? By this, it sounds like a bounded input determines a stable system which conflicts with the latter half of your definition. - Chris Cadwallader