Congestion control algorithms were implemented for the Internet nearly two decades ago, but mathematical models of congestion control in such a large-scale are relatively new. This text presents models for the development of new protocols that can help make Internet data transfers virtually loss- and delay-free. Introduced are tools from optimization, control theory, and stochastic processes integral to the study of congestion control algorithms.

Features and topics include:

* A presentation of Kelly's convex program formulation of resource allocation on the Internet;

...

Congestion control algorithms were implemented for the Internet nearly two decades ago, but mathematical models of congestion control in such a lar...

Many control problems can be naturally formulated, analyzed, and solved in a set-theoretic context. Sets appear naturally when three aspects, which are crucial in control systems design, are considered: constraints, uncertainties, anddesignspeci?cations.Furthermore, setsarethemostappropriatelanguage to specify severalsystem performances, for instance when we areinterested in determining the domain of attraction, in measuring the e?ect of a persistent noise in a feedback loop or in bounding the error of an estimation algorithm. From a conceptual point of view, the peculiarity of the material...

Many control problems can be naturally formulated, analyzed, and solved in a set-theoretic context. Sets appear naturally when three aspects, which ar...

The control and estimation of continuous-time/continuous-space nonlinear systems continues to be a challenging problem, and this is one of the c- tral foci of this book. A common approach is to use dynamic programming; this typically leads to solution of the control or estimation problem via the solution of a corresponding Hamilton Jacobi (HJ) partial di?erential eq- tion (PDE). This approach has the advantage of producing the optimal control. (The term optimal has a somewhat more complex meaning in the class of H problems. However, we will freely use the term for such controllers ?...

The control and estimation of continuous-time/continuous-space nonlinear systems continues to be a challenging problem, and this is one of the c- tral...

This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the discrete-event framework. The approach employed uses Petri nets as discrete-event models and structural methods for the synthesis of supervisors, and may lead to significant computational benefits. Highlighting recent progress in the design of supervisors by structural methods, the book represents a novel contribution to the field. One of the main features of the presentation is the demonstration that structural methods can address a variety of...

This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the...

This volume was prepared in conjunction with a Symposium held in Berkeley June 5 7, 2005, as a tribute to Professor Pravin Varaiya. The contributions represent most of the lectures given at the meeting. The Symposium brought together former students, collaborators and friends from throughout the world to celebrate Pravin s career as he approached the memorable occasion of his 65th birthday. The authors, speakers, organizers, supporters and attendees of the Symposium are very pleased to dedicate this work to Pravin, to congratulate him on his many seminal contributions, and to thank him for...

This volume was prepared in conjunction with a Symposium held in Berkeley June 5 7, 2005, as a tribute to Professor Pravin Varaiya. The contributions ...

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem is the output regulation problem, which can be used in areas such as s- point control, tracking reference signals and rejecting disturbances generated by an external system, controlled synchronization of dynamical systems, and observer design for autonomous systems. At the moment this is a hot topic in nonlinear control. This book is a result of a four-year research project conducted at the Eindhoven University of Technology. This project,...

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem ...

A new edition in a single volume Over the past decade, more and more sophisticaced mathematical tools and approaches have been incorporated in the ?eld of Control of in?nite dim- sional systems. This was motivated by a whole range of challenging appli- tions arising from new phenomenologicalstudies, technologicaldevelopments, and more stringent design requirements. At the same time, researchers and advanced engineers have been steadily using an impressive amount of very sophisticated mathematics in their analysis, synthesis, and design of systems. Whatwasregardedastooabstract, specialized,...

A new edition in a single volume Over the past decade, more and more sophisticaced mathematical tools and approaches have been incorporated in the ?el...

This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "backstepping" approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system.

The work is an excellent reference for a broad, interdisciplinary engineering and mathematics...

This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problem...

Overview of Book This book evolved over a period of years as the authors taught classes in var- tional calculus and applied functional analysis to graduatestudents in engineering and mathematics. The book has likewise been in?uenced by the authors' research programs that have relied on the application of functional analytic principles to problems in variational calculus, mechanics and control theory. One of the most di?cult tasks in preparing to utilize functional, convex, and set-valued analysis in practical problems in engineering and physics is the inti- dating number of de?nitions,...

Overview of Book This book evolved over a period of years as the authors taught classes in var- tional calculus and applied functional analysis to gra...

As soon as we (AS and PS) completed writing the book on H Optimal Con- 2 trol, another task of equal magnitude was laid to our charge. This task was to work on ?ltering and related topics. This book releases us from this charge. In this endeavor, we are fortunate to have found a capable person in our friend and colleague (AAS) who helped us release our burden. The subject of ?ltering is indeed vast and immense, much more so than the subject of H Optimal Control. In this work, we have tried to present what we 2 believe to be the fundamental issues of ?ltering. The book is not intended to give...

As soon as we (AS and PS) completed writing the book on H Optimal Con- 2 trol, another task of equal magnitude was laid to our charge. This task was t...