Part I provides a compact survey on Classical stochastic geometry models. The basic models defined
in this part will be used and extended throughout the whole monograph, and in particular to SINR based
models. Note however that these Classical stochastic models can be used in a variety of contexts which
go far beyond the modeling of wireless networks. Chapter 1 reviews the definition and basic properties of
Poisson point processes in Euclidean space. We review key operations on Poisson point processes (thinning,
superposition, displacement) as well as key formulas like Campbell’s formula. Chapter 2 is focused on
properties of the spatial shot-noise process: its continuity properties, its Laplace transform, its moments
etc. Both additive and max shot-noise processes are studied. Chapter 3 bears on coverage processes,
and in particular on the Boolean model. Its basic coverage characteristics are reviewed. We also give a
brief account of its percolation properties. Chapter 4 studies random tessellations; the main focus is on
Poisson–Voronoi tessellations and cells. We also discuss various random objects associated with bivariate
point processes such as the set of points of the first point process that fall in a Voronoi cell w.r.t. the second
point process.
Striking developments have taken place since 1980 in feedback control theory. The subject has be-
come both more rigorous and more applicable. The rigor is not for its own sake, but rather that even
in an engineering discipline rigor can lead to clarity and to methodical solutions to problems. The
applicability is a consequence both of new problem formulations and new mathematical solutions
to these problems. Moreover, computers and software have changed the way engineering design is
done. These developments suggest a fresh presentation of the subject, one that exploits these new
developments while emphasizing their connection with Classical control.
Despite the development of a now vast body of knowledge known as
modern control theory, and despite some spectacular applications of this
theory to practical situations, it is quite clear that much of the theory has
yet to find application, and many practical control problems have yet to find
a theory which will successfully deal with them. No book of course can
remedy the situation at this time. But the aim of this book is to construct
one of many bridges that are still required for the student and practicing
control engineer between the familiar Classical control results and those of
modern control theory.
The main aim of this book is to present a unified, systematic description of
basic and advanced problems, methods and algorithms of the modern con-
trol theory considered as a foundation for the design of computer control
and management systems. The scope of the book differs considerably from
the topics of Classical traditional control theory mainly oriented to the
needs of automatic control of technical devices and technological proc-
esses. Taking into account a variety of new applications, the book presents
a compact and uniform description containing traditional analysis and op-
timization problems for control systems as well as control problems with
non-probabilistic models of uncertainty, problems of learning, intelligent,
knowledge-based and operation systems – important for applications in the
control of manufacturing processes, in the project management and in the
control of computer systems.
Despite the development of a now vast body of knowledge known as modern
control theory, and despite some spectacular applications of this theory to practical
situations, it is quite clear that some of the theory has yet to find application, and
many practical control problems have yet to find a theory that will successfully deal
with them. No one book, of course, can remedy the situation. The aim of this book
is to construct bridges that are still required for the student and practicing control
engineer between the familiar Classical control results and those of modern control
theory.
This book will discuss the topic of Control Systems, which is an interdisciplinary engineering
topic. Methods considered here will consist of both "Classical" control methods, and
"Modern" control methods. Also, discretely sampled systems (digital/computer systems) will
be considered in parallel with the more common analog methods. This book will not focus
on any single engineering discipline (electrical, mechanical, chemical, etc.), although readers
should have a solid foundation in the fundamentals of at least one discipline.
This texts contemporary approach focuses on the concepts of linear control systems, rather than computational mechanics. Straightforward coverage includes an integrated treatment of both Classical and modern control system methods. The text emphasizes design with discussions of problem formulation, design criteria, physical constraints, several design methods, and implementation of compensators.Discussions of topics not found in other texts--such as pole placement, model matching and robust tracking--add to the texts cutting-edge presentation. Students will appreciate the applications and discussions of practical aspects, including the leading problem in developing block diagrams, noise, disturbances, and plant perturbations. State feedback and state estimators are designed using state variable equations and transfer functions, offering a comparison of the two approaches. The incorporation of MATLAB throughout the text helps students to avoid time-consuming computation and concentrate on control system design and analysis
