Fractional Calculus for Complex Systems: Encyclopedia of Complexity and Systems Science Series
Editat de YangQuan Chenen Limba Engleză Hardback – 13 apr 2024
Fractional
calculus
is
about
differentiation
and
integration
of
non-integer
orders.
Convenience
has
driven
the
use
of
integer-order
models
and
controllers
for
complex
natural
or
man-made
systems,
but
these
traditional
models
and
tools
for
the
control
of
dynamic
systems
may
result
in
suboptimum
performance
and
even
“anomalous”
behavior.
In
contrast,
a
growing
literature
documents
“more
optimal”
performance
when
fractional
order
calculus
tools
are
applied.
From
an
engineering
point
of
view,
new
and
beneficial
uses
of
this
versatile
mathematical
tool
are
both
possible
and
important,
and
may
become
an
enabler
of
new
scientific
discoveries.
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Specificații
ISBN-13: 9781493973767
ISBN-10: 1493973762
Dimensiuni: 178 x 254 mm
Ediția:1st ed. 2024
Editura: Springer
Colecția Springer
Seria Encyclopedia of Complexity and Systems Science Series
Locul publicării:New York, NY, United States
ISBN-10: 1493973762
Dimensiuni: 178 x 254 mm
Ediția:1st ed. 2024
Editura: Springer
Colecția Springer
Seria Encyclopedia of Complexity and Systems Science Series
Locul publicării:New York, NY, United States
Cuprins
Topic
areas
(ToC
in
preparation):
Fractional
calculus:.-
definitions,
history,
basic
properties.- Fractional
order
dynamic
systems.- Fractional
noises.- Signatures
of
complex
systems
and
its
fractional
calculus
connection.- Power
law.- Long
range
dependence.- Long
memory.- Long
range
interaction.- Heavytailedness.- Complex
signal
analysis
using
fractional
calculus.- Complex
system
modeling
using
fractional
calculus.- Complex
system
control
using
fractional
calculus.
Notă biografică
YangQuan
Chen
received
his
B.S.
in
industrial
automation
from
the
University
of
Science
and
Technology
of
Beijing,
China,
in
1985,
his
M.S.
in
automatic
control
from
the
Beijing
Institute
of
Technology,
in
1989,
and
his
Ph.D.
degree
in
advanced
control
and
instrumentation
from
the
Nanyang
Technological
University,
Singapore,
in
1998.
He
was
a
member
of
the
control
systems/mechatronics
faculty
of
ECE
Dept.
at
Utah
State
University,
Logan,
and
the
Director
of
the
Center
for
Self-Organizing
and
Intelligent
Systems
(CSOIS),
before
joining
the
University
of
California,
Merced
in
Fall
2012. Prof.
Chen's
research
interests
include
mechatronics,
control
systems,
unmanned
aircraft
systems,
cyber-physical
systems,
and
applied
fractional
calculus.
Caracteristici
Presents
the
first
comprehensive
coverage
of
the
fractional
calculus
role
in
complex
systems
Discusses major existing signatures such as the power law of complex systems with emphasis on the connections to the fractional calculus
Includes a wide variety of real world case studies in signal analysis and complex system modeling and control
Discusses major existing signatures such as the power law of complex systems with emphasis on the connections to the fractional calculus
Includes a wide variety of real world case studies in signal analysis and complex system modeling and control