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Explica las estabilidad de entrada acotada, salida acotada.

BIBO es para entrada acotada, salida acotada (bounded input, bounded output). BIBO estable es una condición, tal que cualquier entrada acotada nos da una salida acotada. Esto es que conforme nosotros pongamos una entrada estable, nos garantiza obtener una salida estable.

Para entender este concepto, primero debemos ver que significa exactamente acotado. Una señal acotada es cualquier señal tal que existe un valor donde el valor absoluto de la señal nunca es mayor para algún valor. Ya que el valor es arbitrario, lo que queremos decir es que en ningún punto la señal puede tender a infinito.

Una señal acotada es una señal para la cual existe un constante A tal que t f t A

Una vez que ya tenemos identificado lo que significa una señal acotada, debemos mover nuestra atención a la condición que un sistema debe poseer para garantizar que si una señal pasa a través del sistema, una señal acotada se presentara en la salida. Resulta que un sistema LTI continuo en el tiempo con una respuesta al impulso h t es estabilidad BIBO si y solo si

CondiciÓN de tiempo-continuo para estabilidad bibo

t h t
Esto es decir que la función de transferencia es absolutamente integrable .

Extendiendo este concepto a tiempo- discreto tomamos la transición estándar de integración a sumatoria y obtenemos la función de transferencia h n , que debe ser absolutamente sumable . Esto es

CondiciÓN de tiempo-discreto para estabilidad bibo

n h n

Estabilidad y laplace

La estabilidad es muy fácil de deducir desde la gráfica de polos y ceros de una función de transferencia. Laúnica condición necesaria para demostrar la estabilidad es demostrar que el eje- ω es en la región de convergencia

Ejemplo de una gráfica de polos y ceros para un sistema estable de tiempo-continuo.
Ejemplo de una gráfica de polos y ceros para un sistema inestable de tiempo continuo.

Estabilidad y la transformada z

La estabilidad para las señales de tiempo-discreto en el dominio-z es tan fácil de demostrar como lo es para las señales de tiempo-continuo en el domino Laplace. Sin embargo en lugar de la región de convergencia ROC (region of convergence) necesaria para contener el eje- ω , la ROC debe contener el círculo unitario.

Un sistema estable de tiempo-discreto.
Un sistema inestable de tiempo-discreto.

Questions & Answers

how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
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Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
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What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
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what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
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I'm interested in nanotube
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Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit Reply
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Source:  OpenStax, Señales y sistemas. OpenStax CNX. Sep 28, 2006 Download for free at http://cnx.org/content/col10373/1.2
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