Overview
- Authors:
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Alexey S. Matveev
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Department of Mathematics and Mechanics, St. Petersburg University, St. Petersburg, Russia
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Andrey V. Savkin
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Department of Electrical and Electronic Engineering, University of Western Australia, Perth, Australia
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Table of contents (9 chapters)
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- Alexey S. Matveev, Andrey V. Savkin
Pages 1-11
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- Alexey S. Matveev, Andrey V. Savkin
Pages 13-42
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- Alexey S. Matveev, Andrey V. Savkin
Pages 43-104
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- Alexey S. Matveev, Andrey V. Savkin
Pages 105-218
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- Alexey S. Matveev, Andrey V. Savkin
Pages 219-268
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- Alexey S. Matveev, Andrey V. Savkin
Pages 269-303
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- Alexey S. Matveev, Andrey V. Savkin
Pages 305-314
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- Alexey S. Matveev, Andrey V. Savkin
Pages 315-329
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- Alexey S. Matveev, Andrey V. Savkin
Pages 331-337
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Back Matter
Pages 339-348
About this book
Hybrid dynamical systems, both continuous and discrete dynamics and
variables, have attracted considerable interest recently. This
emerging area is found at the interface of control theory and computer
engineering, focusing on the analogue and digital aspects of systems
and devices. They are essential for advances in modern digital-
controller technology.
"Qualitative Theory of Hybrid Dynamical Systems" provides a thorough
development and systematic presentation of the foundations and
framework for hybrid dynamical systems. The presentation offers an
accessible, but precise, development of the mathematical models,
conditions for existence of limit cycles, and criteria of their
stability. The book largely
concentrates on the case of discretely controlled continuous-time
systems and their relevance for modeling aspects of flexible
manufacturing systems and dynamically routed queuing networks.
Features and topics:
*differential automata*development and use of the concept "cyclic
linear differential
automata" (CLDA)*switched single-server flow networks
coverage*application to specific models of manufacturing systems and
queuing networks*select collection of open problems for the
subject*self-contained presentation of topics, with the necessary
background
This new book is an excellent resource for the study and analysis of
hybrid dynamical systems used in systems and control engineering.
Researchers, postgraduates and professionals in control engineering
and computer engineering will find the book an up-to-date development
of the relevant new concepts and tools.
Reviews
"This study investigates the qualitative behaviour of hybrid systems…. This evolution is described by the coupling of the dynamics of an ODE and that of an automaton. Once the continuous state reaches a prescribed set S, the state of the automaton switches to another state and another ODE is activated. The main theme is the characterization of periodic behaviour of such systems and, when it is obtained, the study of its stability…. This mongraph is an exploration, and its merit is to convince the reader of the difficulty and richness of the topic under investigation." —Zentralblatt Math
Authors and Affiliations
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Department of Mathematics and Mechanics, St. Petersburg University, St. Petersburg, Russia
Alexey S. Matveev
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Department of Electrical and Electronic Engineering, University of Western Australia, Perth, Australia
Andrey V. Savkin
