Science > Physics > Quantum Gravity 220.1: Bang-Bang and Switching Control
| Topic: |
Science > Physics |
| User: |
"OsherD" |
| Date: |
23 Dec 2007 08:59:13 AM |
| Object: |
Quantum Gravity 220.1: Bang-Bang and Switching Control |
From Osher Doctorow
In Bang-Bang Control in Optimal Control Engineering and Mathematics
theory, the controller switches suddenly/abruptly between two states
(see Wikipedia "Bang-Bang Control", "Hysteresis," etc.).
ArXix has 9 papers on Bang-Bang control including 1 in 2007 and 2 in
2006.
Switching Control is often closely related to Bang-Bang Control, and
has 5 papers in arXiv including 1 in 2007 and 2 in 2006, but the wider
category "Switching" in arXiv brings up 462 papers including 91 in
2007 and 94-95 in 2006. The papers have tended to increase in number
from 1994 (3 papers) and 1995 and 1996 (3 papers each) to the 90s in
2006 and 2007.
An especially interesting paper arguably is Grace Y. Lin, Y. Yu, David
Yao's "Stochastic knapsack problem revisited: switchover policies and
dynamic pricing," arXiv:0708.1146 math.PR, math.OC (optimal control).
The first 2 authors are at IBM T. J. Watson Research Center Yorktown
Heights New York, the 3rd at Columbia U. New York. Switchover
policies as defined/used by them start from accepting only orders of
the highest price and switch to including lower prices as time goes
by, the switchover time optimally decided by convey programming, and
they show that such policies are asymptotically optimal.
Stochastic knapsack problems, as in Lin, Yu, and Yao (2007), are
widely used in fields from dynamic resource allocation to admission
control in telecommunication, and in recent years has become important
in studying revenue management and dynmical/flexible pricing problems.
These types of papers arguably are often precedents for using Bang-
Bang and Switching Control in physics, and cosmology should be no
exception. The shifts from constant or decelerating to accelerating
Universe or vice versa discussed in my recent posts seem similar to
various of the scenarios of the Bang-Bang and Switching Control
papers.
Many of these papers are related to hysteresis as I indicated
earlier. Hysteresis is path-dependent memory basically, and you need
the history of the input to predict the output, unlike Markov chains
and Independent Probability-Statistics processes. Path-dependent
memory belongs to Probable Causation/Influence (PI), while Markov
chains belong to conditional probability, the two being respectively
characterized by:
1) P(A-->B) = 1 + y - x, 0 < = y < = x < = 1
2) P(B|A) = y/x, 0 < = y < = x < = 1 except that x not 0
In both (1) and (2), y = P(AB), x = P(A).
Osher Doctorow
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| User: "noman" |
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| Title: Re: Quantum Gravity 220.1: Bang-Bang and Switching Control |
23 Dec 2007 09:43:25 PM |
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"OsherD" <mdoctorow@ca.rr.com> wrote in message
news:fdf8f7fb-c5be-4a44-8bf3-a7ebff4424ca@d4g2000prg.googlegroups.com...
From Osher Doctorow
<snip unrelated to physics reference
Switching Control is often closely related to Bang-Bang Control,
one is a subset of the other.
<snip un necessary stats>
Switchover
policies as defined/used by them start from accepting only orders of
the highest price and switch to including lower prices as time goes
by, the switchover time optimally decided by convey programming, and
they show that such policies are asymptotically optimal.
which has NOTHING to do with Bang-Bang control.
Stochastic knapsack problems, as in Lin, Yu, and Yao (2007), are
widely used in fields from dynamic resource allocation to admission
control in telecommunication, and in recent years has become important
in studying revenue management and dynmical/flexible pricing problems.
Wrong, pricing is a seperate field, and so are the others, knapsack problems
are a trivial part of telecom.
These types of papers arguably are often precedents for using Bang-
Bang and Switching Control in physics,
Wrong again! no such thing in physics, kOsher, try Electrical Engineering.
not precedents either, totally different field, but new to you
<snip pro-Israelite blathering>
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Quantum Gravity 220.1: Bang-Bang and Switching Control |
25 Dec 2007 10:56:32 AM |
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On Dec 23, 7:43=A0pm, "noman" <nos...@nospam.com> wrote:
<snip unrelated to physics reference
they show that such policies are asymptotically optimal.
which has NOTHING to do with Bang-Bang control.
Wrong, pricing is a seperate field, and so are the others, knapsack probl=
ems
are a trivial part of telecom.
These types of papers arguably are often precedents for using Bang-
Bang and Switching Control in physics,
Wrong again! =A0no such thing in physics, kOsher, try Electrical Engineeri=
ng.
not precedents either, totally different field, but new to you
<snip pro-Israelite blathering>
The "nospam" Troll/Graffiti Artist "consortium" has a semi-literate
Reader here, noman nospam at nospam.com, who is so obsessed with
keeping Founding-Father-Imitative-Science pure that he/she/it spams
and spans the internet looking for Creative people to shoot down. His/
her/its "profile" says "no profile created" for him/her/it, but lists
the previous 10 hours of postings to the following non-physics related
groups and no others in the last 10 hours from the posting here:
1. comp,lang.pascal.misc
2. microsoft.public.dot.net.general
3. rec.crafts.textiles.quilting
4. alt.tv.knight.rider
5. sci.electronics.design
6. comp.lang.python
7. com.lang.pascal.misc
8. microsoft.public.vb...l.discussion
9. fr.sci.electonique
Apparently we have a computer "language" freak here. Computer
technicians (that's all they are, even if they have higher degrees)
are usually Ingenious Imitators or Mediocres depending on their mental
level, which is why they get hired by Big Corporations and Big
Government just after graduating college when they are most malleable
into Ingenious Imitation and being used as drudges.
The standard troll/graffiti artist depiction of me as "kOsher" should
provide enough clues to this freak's agenda and conformity to the
troll/graffiti artists, but the "snip pro-Israelite blathering"
reveals a little deeper agenda of the MoveOn.Org type smearers
supported by billionaires like Soros to smear opponents of the
Multinational Corporation/Big Government (especially State Dept)
agenda (look up Soros on Wikipedia and trace him back to the
Trilateral Commission, a Multinational Corporation power behind the
throne which has selected all of our Secretaries of State since Carter
and whose predecessors selected all of them since Eisenhower including
John Foster Dulles whose brother Allen founded the CIA). Materialism
Incorporated is the name of the game, and computers give them the
anonymity that helps them smear their opponents and Nonmaterialists.
It would be relatively simple to require Readers to give their real
names instead of pseudonyms in order to post and to eliminate posting
from sites that don't require Reader real names, but that would end
their agenda.
Ingenious Imitators and Mediocres can't find similarities between
stimuli since Imitation is basically one-track-minded and lacking
higher mental processes. So they emphasize differences between and
among stimuli in efforts to show that any deviation from the Founding
Father Line is impermissible. I worked on physics-engineering-
mathematics optimal control for the Defense Department in satellites,
so I won't bother arguing noman nospam's babble piece by piece but
will continue with optimal control in my thread.
Speaking of my thread, noman nospam is a great advertisement for
Military Control of War (and we're at War with Iran and Syria and
"Palestine" and despite Bush's blinders Saudi Arabia and Al Qaeda in
fact if not in name), which would clean out the troll/graffiti
spammers and Enemy propagandists on the internet very, very quickly.
Osher
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| User: "OsherD" |
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| Title: Re: Quantum Gravity 220.1: Bang-Bang and Switching Control |
25 Dec 2007 12:25:38 PM |
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From Osher Doctorow
I should also mention W. M. Haddad et al.'s 2006 volume at Princeton
University Press: Impulsive and Hybrid Dynamical Systems: Stability,
Dissipativity, and Control. Chapter 1 of this volume is online at
press.princeton.edu/chapters/s8340.html, and quite explicitly states
that hybrid systems (and impulsive dynamical systems) are not limited
to engineering systems with programmable logic controllers but occur
naturally in:
1) impact mechanics
2) Quantum Mechanics
3) systems with shock effects
4) cosmology (of course, a branch of physics)
5) numerous other fields of science
The hybrid dynamical systems considered are characterized by impulsive
DEs with 3 elements: continuous time DE governing motion of DSs
(dynamical systems) between impulsive or resetting events, Difference
Equations governing how system states are instantaneously changed atv
the occurrence of resetting events, and criteria for determining when
system states are to be changed (all in general time-varying).
So much for noman nospam at nospam.com's troll/graffiti agenda of
claiming that optimal control isn't related to physics and smearing my
posts.
Osher Doctorow
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