Qualitative Theory of Hybrid Dynamical Systems

  • Alexey S. Matveev
  • Andrey V. Savkin

Part of the Control Engineering book series (CONTRENGIN)

Table of contents

  1. Front Matter
    Pages i-x
  2. Alexey S. Matveev, Andrey V. Savkin
    Pages 1-11
  3. Alexey S. Matveev, Andrey V. Savkin
    Pages 13-42
  4. Alexey S. Matveev, Andrey V. Savkin
    Pages 43-104
  5. Alexey S. Matveev, Andrey V. Savkin
    Pages 105-218
  6. Alexey S. Matveev, Andrey V. Savkin
    Pages 269-303
  7. Alexey S. Matveev, Andrey V. Savkin
    Pages 305-314
  8. Alexey S. Matveev, Andrey V. Savkin
    Pages 315-329
  9. Alexey S. Matveev, Andrey V. Savkin
    Pages 331-337
  10. 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.


Computer Control engineering automata calculus computer science dynamische Systeme hybrid dynamical systems modeling systems and signals

Authors and affiliations

  • Alexey S. Matveev
    • 1
  • Andrey V. Savkin
    • 2
  1. 1.Department of Mathematics and MechanicsSt. Petersburg UniversitySt. PetersburgRussia
  2. 2.Department of Electrical and Electronic EngineeringUniversity of Western AustraliaPerthAustralia

Bibliographic information