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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 jeff was complaining about, because when I read it it was correct.  Good Job.
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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:
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"An input is said to be bounded if it is bounded above and below for all values of t."
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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

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett