Beschreibung:
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.
The emerging area of hybrid dynamical systems lies at the interface
of control theory and computer science, i.e., analogue 'and' digital
aspects of systems.
A new monograph presenting state-of-the-art concepts, methods, and
tools for analyzing and describing hybrid dynamical systems.
Control engineers, system engineers and robotics researchers and
professionals will find the book a valuable resource for new
developments, applications, and research in the field.
[see attached for more detailed TOC]
1) Introduction; 2) Qualitative Analysis of Some Simple Hybrid
Dynamical Systems; 3) General Theory of Differential Automata; 4) Two-
Dimensional Hybrid Dynamical Systems; 5) Limit Cycles in Hybrid
Dynamical Systems with Constant Derivatives; 6) Limit Cycles in Hybrid
Dynamical Systems with Constant Derivatives--Examples; 7) Globally
Periodic Behavior of Switched Single-Server Flow Networks; 8)
Regularizability of Switched Multiple-Server Flow Networks; 9) Open
Problems; References; Index