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.
