Relations between heat capacities: Difference between revisions

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en>Vaughan Pratt
Wikipedia's definition of "quasistatic" is strictly weaker than "reversible" and does not entail the equality in this statement of the 2nd Law
 
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In [[stability theory]], '''hyperstability''' is a property of a system that requires the [[state vector]] to remain bounded if the inputs are restricted to belonging to a subset of the set of all possible inputs.<ref name=ANDERSON>Brian D. O Anderson, "A Simplified Viewpoint of Hyperstability", ''IEEE Transactions on Automatic Control, June 1968''<!-- Available at http://ieeexplore.ieee.org/iel5/81/27851/01242848.pdf?arnumber=1242848 also --></ref>  
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Definition:<ref name=ZINOBER>Zinober, Deterministic control of uncertain systems, 1990<!-- Available at http://books.google.com/books?id=OKGmg4uml84C--></ref> A system is hyperstable if there are two constants <math>k_1 \ge 0, k_2 \ge 0</math> such that any state trajectory of the system satisfies the inequality:
 
:<math>\| x(t) \| < k_1 \|x(0)\| + k_2, \, \forall t \ge 0 </math>
 
== References ==
<References/>
 
== See also ==
* [[Stability theory]]
* [[BIBO stability]]
 
[[Category:Stability theory]]
 
 
{{Mathapplied-stub}}

Latest revision as of 10:24, 20 May 2014

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