Higher-order singular value decomposition - Revision history

153.96.171.70: /* Applications */

2014-12-16T09:09:31Z

Applications

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2014-02-23T19:21:59Z

Fix CS1 deprecated date parameter errors

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	'~~''Bode's sensitivity integral'''~~, ~~discovered by [[Hendrik Wade Bode]]~~, ~~is a formula that quantifies some of the limitations in [[feedback]] control of linear parameter invariant systems. Let ''L'' be the loop [[transfer function]] and ''S'' be the sensitivity function~~. ~~Then the following holds:~~		Hello, I'm Pansy, a 21 year old from Adare, Australia.<br>My hobbies include (but are not limited to) Vintage clothing, Painting and watching Arrested Development.<br><br>Here is my website :: [http://ahairlossblog.Wordpress.com/ vivicomb ebay]

	:<~~math~~>~~\int_0^\infty \ln \|S~~(~~i \omega)\| d \omega = \int_0^\infty \ln \left\| \frac{1}{1+L(i \omega)} \right\| d \omega = \pi \sum Re(p_k) - \frac{\pi}{2} \lim_{s\rightarrow\infty} s L(s)</math>~~

	~~where <math>p_k</math>~~ are ~~the [[Pole (complex analysis)\|poles]] of ''L'' in the right half plane (unstable poles~~).

	~~If ''L'' has at least two more poles than [[Zero (complex analysis)\|zeros]]~~, and ~~has no poles in the right half plane (is stable), the equation simplifies to:~~

	<~~math~~>~~\int_0^\infty \ln \|S(i \omega)\| d \omega = 0~~<~~/math~~>

	~~This equality shows that if sensitivity to disturbance~~ is ~~suppressed at some frequency range, it is necessarily increased at some other range. This has been called the "waterbed effect."<ref>[http~~:~~//ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-245-multivariable-control-systems-spring-2004/lecture-notes/lec5_6245_2004.pdf Megretski~~: ~~The Waterbed Effect. MIT OCW, 2004]</ref>~~

	~~==References==~~
	~~{{reflist}}~~

	~~==Further reading==~~
	* Karl Johan Åström and Richard M. Murray. ''Feedback Systems: An Introduction for Scientists and Engineers''. Chapter 11 - Frequency Domain Design. Princeton University Press, 2008. http://~~www.cds~~.~~caltech~~.~~edu/~murray/amwiki~~/~~Frequency_Domain_Design~~

	~~{{DEFAULTSORT:Bode's Sensitivity Integral}}~~
	~~[[Category:Control theory]~~]


	~~{{science-stub}}~~

en>Orly.alter: /* Applications */

2014-01-27T16:49:20Z

Applications

← Older revision		Revision as of 18:49, 27 January 2014
Line 1:		Line 1:
	Your routines are changing and both a sudden you possess this free time. You can actually smell the roses, take a walk, fix the car/garden or finally travel to the mall. WRONG! You only have free time if own created an elaborate plan to one's ~~job-hunt~~, ~~listed all the daily activities (8 hours~~ is ~~appearing~~ a ~~minimum) and if your to-do list for~~ the ~~day is done - it was quite short~~. ~~That~~'~~s right! Focusing and getting organized through your beginning will preserve a few your great habits and will help you cut period you are without job.<br><br>Nowadays managing~~ the ~~ugg news is straightforward. All thanks to the strength of technology~~ and ~~therefore of course~~ the ~~internet, as ask for live news feeds like the events work~~. ~~Through getting~~ the ~~live news updates, while driving have to be the last human being to obtain the important news going on in your society or all all over the world.~~<br><br>There also are ways to discover affordable ugg boots. Visit reputable websites that sell the footwear at inexpensive prices. Generally speaking, these sites will show you whether their boots are genuine or fake. The complexities these sites provide items at cheap prices since usually turn out to be an affiliate for enterprise that manufacturers boots.<br><br>~~cheap boots or boots from~~ the ~~wrong size will earn you absolutely hate life, especially if your job requires one to be stored on your feet for the majority~~ of the ~~day~~. ~~Boots that are way too small will cause your feet to hurt. Many times it brings about loss of the~~ and the ~~incessant complaint from~~ the ~~employee. Even if tend~~ to ~~be generally a reliable employee by using a positive attitude, a associated with small boots will make everyone a person run.~~<br><br>~~You will even choose boots using choices. In reality~~, ~~there are the~~ other ~~shoes brands can supply the same style boots~~. ~~For instance, Bearpaw is another very brandname and as soon as you various, top quality UGG alternatives by reviewing~~ the ~~stores~~. ~~Naturally, prices be cheaper~~. ~~If you want learn much more such shoes brands, you can consider to find online discover the brands soon obtain the one you prefer best~~. ~~An individual still need to keep it in mind that there are a number of discount uggs sale alternatives with various prices~~. ~~Means positivity~~ . ~~choose~~, ~~you cannot only love the charge, you in order to still observe the quality.~~<br>~~<br>If you also do not desire to be among the losers in this kind of business, a person definitely better get Forex Tracer~~ and ~~Forex Brotherhood to guide~~. ~~In this automated forex trading system software, you~~'~~ll have a be being profitable as if you are being personally guided by a forex as a professional~~. ~~Do not commit forex suicide by being in your own personal~~. ~~Get Forex Tracer and Forex Brotherhood without hesitation~~.~~<br><br>If you have any questions about where and how to use [~~http://~~horizonafrica~~.~~com~~/~~img~~/ ~~cheap ugg boots australia~~]~~, you can call us at the web site.~~		'''Bode's sensitivity integral''', discovered by [[Hendrik Wade Bode]], is a formula that quantifies some of the limitations in [[feedback]] control of linear parameter invariant systems. Let ''L'' be the loop [[transfer function]] and ''S'' be the sensitivity function. Then the following holds:

			:<math>\int_0^\infty \ln \|S(i \omega)\| d \omega = \int_0^\infty \ln \left\| \frac{1}{1+L(i \omega)} \right\| d \omega = \pi \sum Re(p_k) - \frac{\pi}{2} \lim_{s\rightarrow\infty} s L(s)</math>

			where <math>p_k</math> are the [[Pole (complex analysis)\|poles]] of ''L'' in the right half plane (unstable poles).

			If ''L'' has at least two more poles than [[Zero (complex analysis)\|zeros]], and has no poles in the right half plane (is stable), the equation simplifies to:

			<math>\int_0^\infty \ln \|S(i \omega)\| d \omega = 0</math>

			This equality shows that if sensitivity to disturbance is suppressed at some frequency range, it is necessarily increased at some other range. This has been called the "waterbed effect."<ref>[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-245-multivariable-control-systems-spring-2004/lecture-notes/lec5_6245_2004.pdf Megretski: The Waterbed Effect. MIT OCW, 2004]</ref>

			==References==
			{{reflist}}

			==Further reading==
			* Karl Johan Åström and Richard M. Murray. ''Feedback Systems: An Introduction for Scientists and Engineers''. Chapter 11 - Frequency Domain Design. Princeton University Press, 2008. http://www.cds.caltech.edu/~murray/amwiki/Frequency_Domain_Design

			{{DEFAULTSORT:Bode's Sensitivity Integral}}
			[[Category:Control theory]]


			{{science-stub}}

en>Dohn joe: Dohn joe moved page Higher-order singular-value decomposition to Higher-order singular value decomposition over redirect: unable to find a single source that hyphenates "singular value", including those that do hyphenate "higher-order"

2012-08-16T16:59:04Z

Dohn joe moved page Higher-order singular-value decomposition to Higher-order singular value decomposition over redirect: unable to find a single source that hyphenates "singular value", including those that do hyphenate "higher-order"

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