Qualitative Theory of Hybrid Dynamical Systems [Paperback]

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. This new monograph presents state-of-the-art concepts, methods and tools for analyzing and describing hybrid dynamical systems.

Hybrid dynamical systems, both continuous and discrete dynamics andvariables, have attracted considerable interest recently. Thisemerging area is found at the interface of control theory and computerengineering, focusing on the analogue and digital aspects of systemsand devices. They are essential for advances in modern digital-controller technology. Qualitative Theory of Hybrid Dynamical Systems provides a thoroughdevelopment and systematic presentation of the foundations andframework for hybrid dynamical systems. The presentation offers anaccessible, but precise, development of the mathematical models,conditions for existence of limit cycles, and criteria of theirstability. The book largelyconcentrates on the case of discretely controlled continuous-timesystems and their relevance for modeling aspects of flexiblemanufacturing systems and dynamically routed queuing networks.Features and topics:*differential automata*development and use of the concept cycliclinear differentialautomata (CLDA)*switched single-server flow networkscoverage*application to specific models of manufacturing systems andqueuing networks*select collection of open problems for thesubject*self-contained presentation of topics, with the necessarybackgroundThis new book is an excellent resource for the study and analysis ofhybrid dynamical systems used in systems and control engineering.Researchers, postgraduates and professionals in control engineeringand computer engineering will find the book an up-to-date developmentof the relevant new concepts and tools.1 Introduction.- 1.1 Hybrid Dynamical Systems.- 1.2 Two Contrasting Examples of Discretely Controlled Continuous Variable Systems.- 1.3 ThlÃ2