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This volume presents selected aspects of non-integer, or fractional
order systems, whose analysis, synthesis and applications have
increasingly become a real challenge for various research
communities, ranging from science to engineering. The spectrum of
applications of the fractional order calculus has incredibly
expanded, in fact it would be hard to find a
science/engineering-related subject area where the fractional
calculus had not been incorporated. The content of the fractional
calculus is ranged from pure mathematics to engineering
implementations and so is the content of this volume. The volume is
subdivided into six parts, reflecting particular aspects of the
fractional order calculus. The first part contains a single invited
paper on a new formulation of fractional-order descriptor observers
for fractional-order descriptor continous LTI systems. The second
part provides new elements to the mathematical theory of
fractional-order systems. In the third part of this volume, a bunch
of new results in approximation, modeling and simulations of
fractional-order systems is given. The fourth part presents new
solutions to some problems in controllability and control of
non-integer order systems, in particular fractional PID-like
control. The fifth part analyzes the stability of non-integer order
systems and some new results are offered in this important respect,
in particular for discrete-time systems. The final, sixth part of
this volume presents a spectrum of applications of the noninteger
order calculus, ranging from bi-fractional filtering, in particular
of electromyographic signals, through the thermal diffusion and
advection diffusion processes to the SIEMENS platform
implementation. This volume's papers were all subjected to
stimulating comments and discussions from the active audience of
the RRNR'2014, the 6th Conference on Non-integer Order Calculus and
Its Applications that was organized by the Department of
Electrical, Control and Computer Engineering, Opole University of
Technology, Opole, Poland.
This volume presents selected aspects of non-integer, or fractional
order systems, whose analysis, synthesis and applications have
increasingly become a real challenge for various research
communities, ranging from science to engineering. The spectrum of
applications of the fractional order calculus has incredibly
expanded, in fact it would be hard to find a
science/engineering-related subject area where the fractional
calculus had not been incorporated. The content of the fractional
calculus is ranged from pure mathematics to engineering
implementations and so is the content of this volume. The volume is
subdivided into six parts, reflecting particular aspects of the
fractional order calculus. The first part contains a single invited
paper on a new formulation of fractional-order descriptor observers
for fractional-order descriptor continous LTI systems. The second
part provides new elements to the mathematical theory of
fractional-order systems. In the third part of this volume, a bunch
of new results in approximation, modeling and simulations of
fractional-order systems is given. The fourth part presents new
solutions to some problems in controllability and control of
non-integer order systems, in particular fractional PID-like
control. The fifth part analyzes the stability of non-integer order
systems and some new results are offered in this important respect,
in particular for discrete-time systems. The final, sixth part of
this volume presents a spectrum of applications of the noninteger
order calculus, ranging from bi-fractional filtering, in particular
of electromyographic signals, through the thermal diffusion and
advection diffusion processes to the SIEMENS platform
implementation. This volume's papers were all subjected to
stimulating comments and discussions from the active audience of
the RRNR'2014, the 6th Conference on Non-integer Order Calculus and
Its Applications that was organized by the Department of
Electrical, Control and Computer Engineering, Opole University of
Technology, Opole, Poland.
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