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This book introduces the basic fundamentals, models, emulators and
analyses of mem-elements in the circuit theory with applications.
The book starts reviewing the literature on mem-elements, models
and their recent applications. It presents mathematical models,
numerical results, circuit simulations, and experimental results
for double-loop hysteresis behavior of mem-elements. The authors
introduce a generalized memristor model in the fractional-order
domain under different input and different designs for
emulator-based mem-elements, with circuit and experimental results.
The basic concept of memristive-based relaxation-oscillators in the
circuit theory is also covered. The reader will moreover find in
this book information on memristor-based multi-level digital
circuits, memristor-based multi-level multiplier and
memcapacitor-based oscillators and synaptic circuits.
Fractional-order Modelling of Dynamic Systems with Applications in
Optimization, Signal Processing and Control introduces applications
from a design perspective, helping readers plan and design their
own applications. The book includes the different techniques
employed to design fractional-order systems/devices comprehensively
and straightforwardly. Furthermore, mathematics is available in the
literature on how to solve fractional-order calculus for system
applications. This book introduces the mathematics that has been
employed explicitly for fractional-order systems. It will prove an
excellent material for students and scholars who want to quickly
understand the field of fractional-order systems and contribute to
its different domains and applications. Fractional-order systems
are believed to play an essential role in our day-to-day
activities. Therefore, several researchers around the globe
endeavor to work in the different domains of fractional-order
systems. The efforts include developing the mathematics to solve
fractional-order calculus/systems and to achieve the feasible
designs for various applications of fractional-order systems.
Fractional-Order Design: Devices, Circuits, and Systems introduces
applications from the design perspective so that the reader can
learn about, and get ready to, design these applications. The book
also includes the different techniques employed to comprehensively
and straightforwardly design fractional-order systems/devices.
Furthermore, a lot of mathematics is available in the literature
for solving the fractional-order calculus for system application.
However, a small portion is employed in the design of
fractional-order systems. This book introduces the mathematics that
has been employed explicitly for fractional-order systems. Students
and scholars who wants to quickly understand the field of
fractional-order systems and contribute to its different domains
and applications will find this book a welcomed resource.
This book introduces the basic fundamentals, models, emulators and
analyses of mem-elements in the circuit theory with applications.
The book starts reviewing the literature on mem-elements, models
and their recent applications. It presents mathematical models,
numerical results, circuit simulations, and experimental results
for double-loop hysteresis behavior of mem-elements. The authors
introduce a generalized memristor model in the fractional-order
domain under different input and different designs for
emulator-based mem-elements, with circuit and experimental
results. The basic concept of memristive-based
relaxation-oscillators in the circuit theory is also covered. The
reader will moreover find in this book information onÂ
memristor-based multi-level digital circuits, memristor-based
multi-level multiplier and memcapacitor-based oscillators and
synaptic circuits.
Fractional Order Systems: An Overview of Mathematics, Design, and
Applications for Engineers introduces applications from a design
perspective, helping readers plan and design their own
applications. The book includes the different techniques employed
to design fractional-order systems/devices comprehensively and
straightforwardly. Furthermore, mathematics is available in the
literature on how to solve fractional-order calculus for system
applications. This book introduces the mathematics that has been
employed explicitly for fractional-order systems. It will prove an
excellent material for students and scholars who want to quickly
understand the field of fractional-order systems and contribute to
its different domains and applications. Fractional-order systems
are believed to play an essential role in our day-to-day
activities. Therefore, several researchers around the globe
endeavor to work in the different domains of fractional-order
systems. The efforts include developing the mathematics to solve
fractional-order calculus/systems and to achieve the feasible
designs for various applications of fractional-order systems.
Fractional Order Systems: Optimization, Control, Circuit
Realizations and Applications consists of 21 contributed chapters
by subject experts. Chapters offer practical solutions and novel
methods for recent research problems in the multidisciplinary
applications of fractional order systems, such as FPGA, circuits,
memristors, control algorithms, photovoltaic systems, robot
manipulators, oscillators, etc. This book is ideal for researchers
working in the modeling and applications of both continuous-time
and discrete-time dynamics and chaotic systems. Researchers from
academia and industry who are working in research areas such as
control engineering, electrical engineering, mechanical
engineering, computer science, and information technology will find
the book most informative.
Mathematical Techniques of Fractional Order Systems illustrates
advances in linear and nonlinear fractional-order systems relating
to many interdisciplinary applications, including biomedical,
control, circuits, electromagnetics and security. The book covers
the mathematical background and literature survey of
fractional-order calculus and generalized fractional-order circuit
theorems from different perspectives in design, analysis and
realizations, nonlinear fractional-order circuits and systems, the
fractional-order memristive circuits and systems in design,
analysis, emulators, simulation and experimental results. It is
primarily meant for researchers from academia and industry, and for
those working in areas such as control engineering, electrical
engineering, computer science and information technology. This book
is ideal for researchers working in the area of both
continuous-time and discrete-time dynamics and chaotic systems.
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